Recent Publications

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Journal articles  


Ballester-Bolinches A, Madanha SY, Pedraza-Aguilera MC Generalised mutually permutable products and saturated formations. Journal of Algebra 579(2022) 434-443
Ballester-Bolinches A, Madanha SY, Mudziiri Shumba TM, Pedraza-Aguilera MC On certain products of permutable subgroups. Bulletin of the Australian Mathematical Society 105(2022) 278-285
Banasiak J, Wetsi Poka D, Shindin S Explicit solutions to some fragmentation equations with growth or decay. J. Phys. A: Math. Theor. 55(2022) 194001 (33pp)
Burger AP, De Wet JP, Frick M, Van Cleemput N, Zamfirescu CT Planar hypohamiltonian oriented graphs. Journal of Graph Theory 100(2022) 50-68
De Jeu M, Jiang X Order integrals. Positivity 26(32)(2022) 1-39

Deng Y, De Jeu M Vector lattices with a Hausdorff uo-Lebesgue topology. Journal of Mathematical Analysis and Applications 505(2022) 125455 1-30

Dukuza NKK Chaos in a Discrete Cancer Model. Journal of Applied Nonlinear Dynamics 11(2)(2022) 297-308

Dumont Y,Yatat Djeumen IV Sterile insect technique with accidental releases of sterile females. Impact on mosquito-borne diseases control when viruses are circulating.  Mathematical Biosciences 343(2022)

Guambe C, Kufakunesu R, van Zyl G, Beyers C Time consistent mean-variance asset allocation for a DC plan with regime switching under a jump-diffusion model. To appear in Japan Journal of Industrial and Applied Mathematics 39(1)(2022) 119 - 143

Kikianty E, Nongxa L The National Research Rating System in South Africa: The Past Impacts the Future. Notices of the American Mathematical Society 69(2)(2022) 239-247

Lavicka T, Moraschini T, Raftery JG  The algebraic significance of weak excluded middle laws.  Mathematical Logic Quarterly 68(1)(2022) 79–94 

Mabitsela L,Guambe C, Kufakunesu R  A note on the representation of BSDE-based dynamic risk measures and dynamic capital allocations. Communication Statistics - Theory and Methods 51(6)(2022) 1791–1810

Madanha SY Finite groups with few character values. Communications in Algebra 50(1)(2022) 308-312

Manjunath G Embedding Information onto a Dynamical System. Nonlinearity 35(3)(2022) 1131-1151 

Mokhtar-Kharroubi M, Banasiak J On spectral gaps of growth-fragmentation semigroups in higher moment spaces. Kinetic and Related Models 15(2) 147-185

Rodrigues BG On some projective triply-even binary codes invariant under the Conway group Co1. International Journal of Group Theory 11(1)(2022) 23-35

Van Appel V, Maré E Determining safe retirement withdrawal rates using forward-looking distributions. S Afr J Sci. 118(2022) 1-7

Venter PJ, Maré E Pricing collateralised options in the presence of counterparty credit risk: An extension of the Heston–Nandi model. South African Statistical Journal 56(1)(2022) 37–51

Venter PJ, Maré E Price Discovery in the Volatility Index Option Market: A Univariate GARCH Approach. Finance Research Letters 44(2022) 1-9


Anabanti CS Groups containing locally maximal product-free sets of size 4. Algebra Discrete Math. 31(2)(2021) 167-194

Anabanti CS Filled groups of order pqr for primes p, q and r. Quaest. Math. 44(8)(2021) 1019-1021

Amery G, Gomani S, BG Rodrigues Designs and binary codes from maximal subgroups and conjugacy classes of M_{11}. Math. Commun.  26(2021), 159-175

Aziz-Alaoui MA, Lubuma JMS, Tsanou B Prevalence-based modeling approach of schistosomiasis: global stability analysis and integrated control assessment. Computational and Applied Mathematics 40(24)(2021) 1-38

Banasiak J, Ouifki R, Woldegerima WA Some mathematical tools for modelling malaria: a subjective Survey. BIOMATH 10(2)(2021) 2110029

Banasiak J Modelowanie, równania i operatorowe podejście do ich rozwiązywania, Matematyka Poglądowa, 8(2021) 22-36 (in Polish)

Chapwanya M, Matusse A, Dumont Y On synergistic co-infection in crop diseases. The case of the Maize Lethal Necrosis Disease. Applied Mathematical Modelling 90(2021) 912-942

Crnkovic D, Mostarc N, Rodrigues BG, Storme L s-PD-sets for codes from projective planes PG(2, 2^h), 5 \leq h \leq 9. Adv. Math. Comm 15(3)(2021) 423-440

Deng Y, De Jeu M Convergence structures and locally solid topologies on vector lattices of operators, Banach J. Math. Anal. 15(2021) 57

Dukuza NKK Bifurcation analysis of a computer virus propagation model. Hacettepe Journal of Mathematics and Statistics 50(5)(2021) 1384-1400

Dukuza NKK Constructing some discrete 4-D hyperchaotic systems. Annual Review of Chaos Theory, Bifurcations and Dynamical Systems 10(2021) 30-40

Fossi AF, Lubuma JM-S, Tadmon C, Tsanou B Mathematical modeling and nonstandard finite difference scheme analysis for the environmental and spillover transmissions of Avian Influenza A model. Dynamical Systems 36 (2021) 212-255

Fotso Fotso Y, Touzeau S, Tsanou B, Bowong S, Gorognard F Modelling and optimal strategy to control coffee berry borer. Mathematical Methods in the Applied Sciences 44(2021) 14569–14592

Fresen DJ A simplified proof of CLT for convex bodies. Proc. Amer. Math. Soc. 149 (2021) 345-354

Guambe C, Kufakunesu R, van Zyl G, Beyers C  Optimal asset allocation for a DC plan with partial information under inflation and mortality risks. Communications in Statistics - Theory and Methods 50(9)(2021) 2048-2061

Guambe C, Mabitsela L, Kufakunesu R An Ergodic BSDE risk representation in a jump-diffusion framework. International Journal of Theoretical and Applied Finance 24(3)(2021) 2150015

Kelil AS, Jooste AS, Appadu AR On Certain Properties and Applications of the Perturbed Meixner–Pollaczek Weight. Mathematics 9(955)(2021) 1-28

Kellerman R, Goranko V Approximating trees as coloured linear orders and complete axiomatisations of some classes of trees. The Journal of Symbolic Logic 86(3)(2021) 1035-1065

Key JD, Rodrigues BG Binary codes from m-ary n-cubes Q^{m}_{n}.  Adv. Math. Comm.  15(3)(2021)  507-524

Kikianty E, Kitagawa T A History of Mathematics in South Africa: Modern Milestones. The Mathematical Intelligencer 43(4)(2021) 33-47

Knapp WD, Rodrigues BG A useful tool for constructing linear codes. J. Algebra 585(2021),422-446

Lee WS,  Le Roux C Convolution algebra for extended Feller convolution. Semigroup Forum 102(2021) 184–216

Madanha SY Weakly totally permutable products and Fitting classes. International Journal of Group Theory 10(1)(2021) 31-38

Madanha SY On the orders of vanishing elements of finite groups. Journal of Pure and Applied Algebra 225(2021) 106654 1-13

Madanha SY Average number of zeros of characters of finite groups. Journal of Algebra 579(2021) 353–364

Madanha SY Normalisers in Some Products of Finite Groups. Advances in Group Theory and Applications 12(2021) 29-34

Mbaale X, Rodrigues BG Symmetric 1-designs from PSL(2, q), for q an odd prime power. Transactions on Combin.  10(1)(2021) 43-61

Mbaale X, Rodrigues BG Symmetric 1-designs PGL2,q), for q an odd prime power. Glasnik Matematicki. 56(76)(2021) 1-15

Moraschini T, Raftery JG, Wannenburg JJ  Epimorphisms in varieties of subidempotent residuated structures. Algebra Universalis 82(6)(2021) 1-26

Moutsinga CRB, Pindza E, Maré E Comparative performance of time spectral methods for solving hyperchaotic finance and cryptocurrency systems. Chaos, Solitons & Fractals 145(2021) 110770

Ndongmo Teytsa HM, Tsanou B, Bowong S, Lubuma JM-S Coupling the modeling of phage-bacteria interaction and cholera epidemiological model with and without optimal control. Journal of Theoretical Biology 521(2021) 110537

Ndongo Teytsa HM, Tsanou B, Bowong S, Lubuma JMS Bifurcation analysis of a phage-bacteria interaction model with prophage induction. Mathematical Medicine & Biology 38(1)(2021) 28-58

Owolabi KM, Pindza E, Atangana A Analysis and pattern formation scenarios in the superdiffusive system of predation described with Caputo operator. Chaos, Solitons & Fractals 152(2021) 1-14

Rodrigues BG, Russo FG Numerical bounds for the exterior degree of finite simple groups. Communications in Algebra 49(6)(2021) 2707-2721

Rodrigues BG, Russo FG  The exterior degree of finite simple groups. Communications in Algebra 49(6)(2021) 2707-2721

Tilahun GT, Woldegerima WA, Mohammed N A fractional-order model for the transmission dynamics of hepatitis B virus with two-age structure in the presence of vaccination. Arab Journal of Basic and Applied Sciences 28(1)(2021) 87-106
Thackeray HMR The cap set problem and standard diagrams. Discrete Mathematics 344(11)(2021) 112558
Van Appel V, Mare E, Van Niekerk A  Quantitative guidelines for retiring (more safely) in South Africa. South African Actuarial Journal 21(2021) 75-91
Van der Merwe AJ, Van Rensburg NJF, Sieberhagen RH Comparing the dual phase lag, Cattaneo-Vernotte and Fourier heat conduction models using modal analysis. Applied Mathematics and Computation 396(2021) 125934 1-15
Van der Walt JH Category measures, the dual of C(K)δ and hyper-Stonean spaces. Proceedings of the American Mathematical Society 149(11)(2021) 4841-4852
Venter PJ, Maré E Univariate and Multivariate GARCH Models Applied to Bitcoin Futures Option Pricing. J. Risk Financial Manag. 14(2021) 261,1-14

Venter PJ, Maré E GARCH Option Pricing and Implied FX Volatility Indices. Studies in Economics and Econometrics 45(1)(2021) 42-52

Wiggins HZ, Van der Hoff Q Using an online homework system for fostering self-directed learning. IJTES 5(3)(2021) 323-335
Weldegiyorgis GY, Banda MK Input-to-State Stability of Non-uniform Linear Hyperbolic Systems of Balance Laws via Boundary Feedback Control. Applied Mathematics & Optimization 84(2021) 2701–2726
Woldegerima WA, Ouifki R, Banasiak J Mathematical analysis of the impact of transmission-blocking drugs on the population dynamics of malaria. Applied Mathematics and Computation 400(2021) 126005 1-21
Yatat Djeumen IV, Dumont Y, Doizy A, Couteron P A minimalistic model of vegetation physiognomies in the savanna biome. Ecological Modelling 440(2021) 109381



Abbas M, Ali B, Nazir T, Dedovic NM, Mohsin BB, Radenovic S Solutions and Ulman-Hyers stability of differential inclusions involving Suzuki type multivalued mappings. Military Technical 68(3)(2020) 438-387

Abbas M, Rekocevic V, Hussain A Best proximity point of Zamfirescu contraction of Perov type on regular cone metric spaces. Fixed Point Theory 21(1)(2020) 3-18

Abbas M, Shatanawi W, Farooq S, Mitrovic ZD On a JH-operators pair of type (A) with applications to integral equations. Journal of Fixed Point Theory and Applications 22(72)(2020) 1-24

Abbas M, Nazir T, Rakocevic V Common fixed points of family of multivalued F contraction mappings on ordered metric spaces. Vietnam Journal of Mathematics 48(2020) 11-21

Abbas M, Murtaza G, Smarandache F Basic operations on hypersoft sets and hypersoft point. Neutrosophic Sets and Systems. 35(2020) 407-421

Abbas M, Lael F, Saleem N Fuzzy b-Metric Spaces: Fixed Point Results for ψ-Contraction Correspondences and its Application. Axioms 9(36)(2020) 1-12

Adeniyi MO, Ekum MI, Iluno C , Ogunsanya AS, Akinyemi JA, Oke SI, Matadi MB Dynamic model of COVID-19 disease with exploratory data analysis. Scientific African 9(2020) e00477 1-21

Agbavon KM, Appadu AR Construction and analysis of some nonstandard finite difference methods for the FitzHugh-Nagumo equation. Numerical Methods for Partial Differential Equations 36(2020) 1145-1169

Anguelov R, Banasiak J, Bright C, Lubuma JMS, Ouifki R The big unknown: The asymptomatic spread of COVID-19. Biomath 9(2020) 2005103

Anguelov R, Berge T, Chapwanya M, Djoko JK, Kama P, Lubuma JM-S, Terefe Y Nonstandard finite difference method revisited and application to the Ebola virus disease transmission dynamics. Journal of Difference Equations and Applications 26(6)(2020) 818-854

Anguelov R, Dumont Y, Djeumen VY Sustainable vector/pest control using the permanent Sterile Insect Technique. M2AS 43(18)(2020) 10391-10412

Aronna MS, Dumont Y On Nonlinear Pest/Vector Control via the Sterile Insect Technique: Impact of Residual Fertility. Bulletin of Mathematical Biology 82(2020) 110

Banda MK, Weldegiyorgis GY Numerical boundary feedback stabilisation of non-uniform hyperbolic systems of balance laws. International Journal of Control 93(6)(2020) 1428-1441

Banasiak J, Manakova NA, Sviridyuk GA Positive solutions to Sobolev Type equations with relatively p-sectorial operators. Bulletin of the South Ural State University. Ser. Mathematical Modelling, Programming & Computer Software (Bulletin SUSU MMCS) 13(2)(2020) 17–32

Banasiak J, Logarithmic norms and regular perturbations of differential equations. Annales Universitatis Mariae Curie-Sklodowska, sectio A LXXIII(2)(2019) 5-19

Banasiak J Some remarks on the renormalization group and Chapman-Enskog type methods in singularly perturbed problems. Math Meth Appl Sci. 43(2020) 10361-10380

Banasiak J Global solutions of continuous coagulation–fragmentation equations with unbounded coefficients. Discrete and Continuous Dynamical Systems Series S 13(12)(2020) 3319-3334

Banasiak J, Lamb W Growth–fragmentation–coagulation equations with unbounded coagulation kernels. Phil. Trans. R. Soc. A 378(2020) 20190612:1-22

Böhm J, Marais MS, Steenpass A The classification of real singularities using Singular Part III: unimodal singularities of corank 2. J. Symbolic Comput. 99(2020) 250-282

Broere I, Heidema J,Veldsman Congruences and Hoehnke Radicals on Graphs. Discussiones Mathematicae Graph Theory 40(2020) 1067-1084

Danbaba UA, Garba SM Stability Analysis and Optimal Control for Yellow Fever Model with Vertical Transmission. Int. J. Appl. Comput. Math 6(2020) 105 1-34

De Jeu M Pinto PR The structure of doubly non-eommtuing isometries. Adv. Math. 368(2020) 107149

Emereuwa CA Mathematical homogenization and stochastic modeling of energy storage systems. Current Opinion in Electrochemistry 21(2020) 117–124

Garba S, Lubuma JM-S, Tsanou B Modeling the transmission dynamics of the COVID-19 Pandemic in South Africa. Mathematical Biosciences 328(2020) 108441 1-14

Garba SM, Danbaba UA Modeling the effect of temperature variability on malaria control strategies. Mathematical Modelling of Natural Phenomena 15(65)(2020) 1-43

Guambe C, Kufakunesu R Optimal investment-consumption and life insurance with capital contraints. Communications in Statistics – Theory and Methods 49(3)(2020) 648–669

Gursoy F, Erturk M, Abbas M A Picard type iterative algorithm for general variational inequalities and nonexpansive mappings. Numerical Algorithms 83(2020) 867-883

Hausenblas E, Razafimandimby PA Existence of a density of the 2-dimensional Stochastic Navier Stokes Equation driven by Lévy processes or fractional Brownian motion. Stochastic Processes and their Applications 130(7)(2020) 4174-4205

Hussain A, Abbas M, Adeel M, Kanwal T Best proximity point results for almost contraction and application to nonlinear differential equation. Sahand Communications in Mathematical Analysis. 17(2)(2020) 119-138

Krapinar E, Abbas M, Farooq S A Discussion on the Existence of Best Proximity Points That Belong to the Zero Set. Axioms 9(19)(2020) 1-15

Le T, Magaard K, Paolini A, On the characters of Sylow p-subgroups of finite Chevalley groups G(pf) for arbitrary primes. Math. Comp. 89(2020) 1501-1524

Madanha SY Zeros of primitive characters of finite groups. Journal of Group Theory 23(2)(2020) 193-216

Madanha SY, Rodrigues BG Finite groups with some restriction on the vanishing set. To appear in Communications in Algebra 48(12)(2020) 5474-5481

Mahasa K, De Pillis L, Ouifki R, Eladdadi A, Maini P, Yoon AR, Yun C Mesenchymal stem cells used as carrier cells for tumor-specific delivery of oncolytic adenovirus leads to enhanced oncolytic virotherapy: An integrated approach. Sci Rep 425(10)(2020) 1-13

Manjunath G Stability and Memory-loss go Hand-in-Hand: Three results in Dynamics and Computation. Proceedings of the Royal Society of London: Series A 476(2020) 20200563:1-16

Manyombe MLMMbang J, Tsanou B, Bowong JS, Lubuma JMMathematical analysis of a spatio-temporal model for the population ecology of anopheles mosquito. Mathematical Models in Applied Sciences 43(6)(2020) 3534-3555

Mare E VUCA Meets Covid-19 – Opportunity in crisis – Rethinking treasury. The South African Treasurer Journal (2020) 14-16

Messerschmidt M On compact packings of the plane with circles of three radii. Computational Geometry 86(2020) 101564 1-17

Moori J, Rodrigues BG, Sayedi A, Zandi S Designs from maximal subgroups and conjugacy classes of Ree groups. Advances in Mathematics of Communications 14(4)(2020) 603-611

Moraschini T, Raftery JG, Wannenburg JJ Epimorphisms, definability and cardinalities. Studia Logica 108(2020) 255–275

Moraschini T, Raftery JG, Wannenburg JJ Varieties of De Morgan monoids: Covers of atoms. Review of Symbolic Logic 13(2)(2020) 338-374

Moraschini T, Raftery JG, Wannenburg JJ Singly generated quasivarieties and residuated structures, Mathematical Logic Quarterly 66(2)(2020), 150-172

Moraschini T, Wannenburg JJ  Epimorphism surjectivity in varieties of Heyting algebras.  Annals of Pure and Applied Logic 171(9)(2020) 102824:1-31

Moutsinga CRB, Pindza E, Maré E A time multidomain spectral method for valuing affine stochastic volatility and jump diffusion models. Commun Nonlinear Sci Numer Simulat 84(2020) 1-16

Moutsinga CRB, Pindza E, Mare E A robust spectral integral method for solving chaotic finance systems. Alexandria Engineering Journal 59(2020) 601–611

Mukhtar AYA, Munyakaz JB, Ouifki R Assessing the role of human mobility on malaria transmission in South Sudan. Mathematical Biosciences 320(2020) 1-13

Okeke GA, Abbas M, De la Sen M Inertial subgradient extragradient methods for solving variational inequality problems and fixed point problems. Axioms 2020(9)(51)(2020) 1-24

Okeke GA, Abbas M Fejer monotoncity and fixed point theorems with applications to a nonlinear integral equation in complex valued Banach spaces. Applied General Topology 21(1)(2020), 135-158

Ouifki R, Banasiak J Epidemiological models with quadratic equation for endemic equilibria—A bifurcation atlas. Math Meth Appl Sci. 43(2020) 10413-10429

Roelands M, Wortel M Order Isomorphisms on Order Intervals of Atomic JBW-Algebras. Integr. Equ. Oper. Theory 92(2020) 33:1-20

Talaga S, Dejean A, Azémar F, Dumont Y, Leroy C Impacts of biotic and abiotic parameters on immature populations of Aedes aegypti. Journal of Pest Science, Springer Verlag, 93(3)(2020) 941-952

Tapi MD, Bagny-Beilhe L, Dumont Y Miridae control using sex-pheromone traps. Modeling, analysis and simulations. Nonlinear Analysis: Real World Applications 54(2020) 1-22

Ter Horst S, Messerschmidt M, Ran ACM Equivalence After Extension and Schur Coupling for Relatively Regular Operators. Integral Equations and Operator Theory 92(40)(2020)

Tsanou B, Kamgang JC, Lubuma JMS, Danga DEH Modeling pyrethroids repellency and its role on the bifurcation analysis for a bed net malaria model. Chaos, Solitons and Fractals 136(2020) 109809 1-18J

Van Appel V,  Maré E, The Recovery Theorem With Application to Risk Management. South African Statistical Journal 54(1)(2020) 65-91

Van Appel V,  Maré E The recovery theorem with application to risk management. South African Journal for Science and Technology 39(1)(2020) 133

Venter PJ, Maré E GARCH Generated Volatility Indices of Bitcoin and CRIX. Journal of Risk and Financial Management 13(2020) 121 1-15

Venter PJ, Maré E GARCH option pricing models in a South African equity context. ORION 36(1)(2020) 1-17

Venter PJ, Maré E, E Pindza Price discovery in the cryptocurrency option market: A univariate GARCH approach. Cogent Economics & Finance 8(2020) 1803524 1-9

Wiggins HZ Sibling curves of cubic polynomals. Quaestiones Mathematicae 43(8)(2020) 1083-1090

Zhao ZX, Banda MK, Guo BZ Boundary switch on/off control approach to simultaneous identification of diffusion coefficient and initial state for one-dimensional heat equation. Discrete and Continuous Dynamical Systems - Series B 25(7)(2020)  2533-2554


Aamir Ali M, Abbas M, Zhang Z, Sial IB,  Arif A On integral inequalities for product and quotient of two multiplicatively convex functions. Asian Research Journal of Mathematics 12(3)(2019) 1-11

Abbas M, Beg I, Leyew BT Common fixed point of (R, alpha)-generalized rational multivalued contractions in R-complete b-metric spaces. Communications in Optimization Theory 14(2019) 1-17

Abbas M, Ibrahim A, Khan AR, De la Sen M Split variational inclusion problem and fixed point problem for a class of multivalued mappings in CAT (0) spaces. Mathematics 7(749)(2019) 1-14

Abbas M, Yusuf I, De La Sen M Nadler’s fixed point results in dislocated Hausdorff A-metric spaces.  Journal of Fixed Point Theory and Applications 21(60)(2019) 1-19

Afenya EK, Ouifki R, Mundle SD Mathematical modeling of bone marrow –peripheral blood dynamics in the disease state based on current emerging paradigms, part II. Journal of Theoretical Biology 460(2019) 37–55

Agbavon KM, Appadu AR, Khumalo M On the numerical solution of Fisher’s equation with coefficient of diffusion term much smaller than coefficient of reaction term. Advances in Difference Equations 146(2019) 1-33

Ali ZI, Razafimandimby PA Stochastic generalized magnetohydrodynamics equations with not regular multiplicative noise: Well-posedness and Invariant measure. Journal of Mathematical Analysis and Applications 474(2019)1404–1440

Anguelov R, Bekker R, Dumont Y Bi-stable dynamics of a host-pathogen model Biomath 8(2019) 1-17

Arega N, Van den Berg J Commutativity in the lattice of topologizing filters of a ring - localization and congruences. Acta Mathematica Hungarica 157(2019) 434-458

Arega N, Van den Berg JE Commutativity in the lattice of topologizing filters of a commutative semiartinian ring. Communications in Algebra 47(12)(2019) 5370–5379

Banasiak J, Seuneu Tchamga MS, Szymańska-Dȩbowska K Canard solutions in equations with backward bifurcations of the quasi-steady state manifold. Journal of Mathematical Analysis and Applications 471(2019) 776-795

Banasiak J Analytic Fragmentation Semigroups and Classical Solutions to Coagulation–fragmentation Equations — a Survey. Acta Mathematica Sinica, English Series  35(1)(2019) 83–104

Banasiak J, Joel L, Shindin S The discrete unbounded coagulation-fragmentation equation with growth, decay and sedimentation. Kinetic and Related Models 12(5)(2019) 1069-1092

Banasiak J, Joel LO, Shindin S, Discrete growth-decay-fragmentation equation - well-posedness and long term dynamics. Journal of Evolution Equations 19(2019) 771-802

Bliman PA, Cardona-Salgadob D, Dumont Y, Vasilieva O Implementation of control strategies for sterile insect techniques. Mathematical Biosciences 314(2019) 43–60

Brzezniak Z, Hausenblas E, Razafimandimby PA A note on the Stochastic Ericksen-Leslie equations for nematic liquid crystals. Discrete & Continuous Dynamical Systems – B 24(11)(2019) 5785-5802

Broere I, Imrich W, Kalinowski R, Pilśniak M Asymmetric colorings of products of graphs and digraphs. Discrete Applied Mathematics 266(2019) 56-64

Chapwanya M, Jejeniwa OA, Appadu AR, Lubuma JMS An explicit nonstandard finite difference scheme for the FitzHugh–Nagumo equations. International Journal of Computer Mathematics 96(10)(2019) 1993–2009

Chapwanya M, Dozva R, Muchatibaya G A nonstandard finite difference technique for singular Lane-Emden type equations. Engineering Computations 36(5)(2019) 1566-1578

Danquah BA, Chirove F, Banasiak J Effective and ineffective treatment in a malaria model for humans in an endemic region. Afrika Matematika 30(2019) 1181–1204

De Jeu M, Van der Walt JH On order continuous duals of vector lattices of continuous functions. Journal of Mathematical Analysis and Applications 479(2019) 581–60

De Wet JP, Frick M The Hamilton cycle problem for locally traceable and locally hamiltonian graphs. To appear in Discrete Applied Mathematics 266 (2019) 291-308

Djoko JK A priori error analysis for Navier Stokes equations with Slip boundary conditions of friction type.  J. Math. Fluid Mech. 21(2019) 1 -32

Djoko JK, Koko J, Kucera R Power law Stokes equations with threshold slip boundary conditions: Numerical methods and implementation. Mathematical Methods in Applied Sciences 42(2019) 1488–1511

Flint E, Maré E Regime-based tactical allocation for equity factors and balanced portfolios SAAJ 19(2019) 27–52

Gashaw KW, Kassa SM, Ouifki R Climate Dependent Malaria Disease Transmission Model and its Analysis. International Journal of Biomathematics 12(8)(2019) 1-40

Gatabazi P, Mba JC, Pindza E Modeling cryptocurrencies transaction counts using variable-order Fractional Grey Lotka-Volterra dynamical system. Chaos, Solitons and Fractals 127(2019) 283-290

Gatabazi P, Mba JC, Pindza E, Labuschagne C Grey Lotka–Volterra models with application to cryptocurrencies adoption. Chaos, Solitons and Fractals 122(2019) 47-57

Gunawan H, Kikianty E, Sawano Y, Schwanke C, Three geometric constants for Morrey spaces. the Bulletin of the Korean Mathematical Society 56(6)(2019) 1569–1575

Gunning W, Van Vuuren G Exploring the drivers of tracking error constrained portfolio performance. Cogent Economics & Finance 7(2019) 1-15

Hussan A, Abbas M, Ahmad J, Al Mazrooei AE Best Proximity point results for quasi contraction of Perov type in non-normal cone metric spaces. Communication in Mathematics and Applications 10(2)(2019) 281-293

Izuchukwu C, Ugwunnadi GC, Mewomo OT, Khan AR, Abbas M Proximal-type algorithms for split minimization problem in P-uniformly convex metric spaces. Numerical Algorithm (82)(2019), 909-935

Kenfack Nangho M, Foupouagnigni M, Koepf W On exponential and trigonometric functions on nonuniform lattices. The Ramanujan Journal 49 (2019) 1–37

Khan AR, Ugwunnadi GC, Makukula ZG, Abbas M  Strong convergence of inertial subgradient extragradient method for solving variational inequality in Banach space. Carpathian Journal of Mathematics 35(3) (2019) 327-338

Le T, Magaard K, Paolini A The irreducible characters of the Sylow p-subgroups of the Chevalley groups D6(pf)and E6(pf). Journal of Symbolic Computation 95(2019) 68-99

Li X, Tanveer M, Abbas M, Ahmad M, Kwun YC, Liu J Fixed Point Results for Fractal Generation in Extended Jungck-SP  Orbit. IEEE Access 7(2019) 160472-160481

Lemmens B, Roelands M, Wortel M Hilbert and Thompson isometries on cones in JB-algebras. Mathematische Zeitschrift 292(2019) 1511-1547

Madanha SY On a question of Dixon and Rahnamai Barghi. Communications in Algebra 47(8)(2019) 3064-3075

Maré E “Out of all the things I’ve lost, I miss my mind the most …” Mark Twain. The South African Treasurer Journal : Futureproofing Treasury (2019) 5-6

Messerschmidt M A Pointwise Lipschitz Selection Theorem. Set-Valued and Variational Analysis 27(2019) 223–240

Moraschini T, Raftery JG, Wannenburg JJ Varieties of De Morgan monoids: minimality and irreducible algebras. Journal of Pure and Applied Algebra 223(2019) 2780-2803

Moraschini T, Raftery JG  On prevarieties of logic.  Algebra Universalis 80(37)(2019) 36-47

Mukhtar AYA, Munyakazi JB, Ouifki R Assessing the role of climate factors on malaria transmission dynamics in South Sudan. Mathematical Biosciences 310(2019) 13-23

Ngwa GA, Teboh-Ewungkem MI, Dumont Y, Ouifki R, Banasiak J On a three-stage structured model for the dynamics of malaria transmission with human treatment, adult vector demographics and one aquatic stage. Journal of Theoretical Biology 481(2019) 202-222

Roelands M, Wortel M Hilbert isometries and maximal deviation preserving maps on JB-algebras. Advances in Mathematics 352(2019) 836-861

Ssebuliba DM, Ouifki R Effect of Mixed Infection on TB Dynamics. International Journal of Biomathematics 12(5)(2019) 1-23

Strugarek M, Bossin H, Dumont Y On the use of the sterile insect release technique to reduce or eliminate mosquito populations. Applied Mathematical Modelling 68(2019) 443–470

Szigeti J, Van den Berg J, Van Wyk L, Ziembowski M The maximum dimension of a Lie nilpotent subalgebra of of index. Trans. Amer. Math. Soc. 372(7)(2019) 4553-4583

Taljaard BH, Maré E Considering the use of an equal-weighted index as a benchmark for South African equity investors SAAJ 19(2019) 53–70

Ter Horst S, Messerschmidt M, Ran ACM, Roelands M Equivalence after extension and Schur coupling do not coincide on essentially incomparable Banach spaces. Bulletin of the London Mathematical Society 51(6)(2019) 1005-1014

Usain S, Hassan AS, Garba SM, Lubuma JM-S Modeling the transmission dynamics of the Middle East Respiratory Syndrome Coronavirus (MERS-CoV) with latent immigrants. Journal of Interdisciplinary Mathematics 22(6)(2019) 903-930

Van Aardt SA, Burger AP, Frick M, Thomassen C, De Wet JP Hamilton cycles in sparse locally connected graphs. Discrete Applied Mathematics 257(2019) 276-288

Van der Hoff Q, Harding AF Review of a Predator-Prey Model with Two Limit Cycles. International Journal of Mathematical Education in Science and Technology 50(6)(2019) 921-933

Van der Hoff Q, Harding AF Elemental access to limit cycle existence in Biomath education. Biomath Communications 6(2019) 96-118

Van Rensburg NFJ, Stapelberg B Existence and uniqueness of solutions of a general linear second order hyperbolic problem. IMA Journal of Applied Mathematics 84(2019) 1-22

Yani B, Harding AF, Engelbrecht JC Academic maturity of students in an extended programme in mathematics. International Journal of Mathematical Education in Science and Technology 50(7)(2019) 1037-1049


Aderogba AA, Chapwanya M Positive and bounded nonstandard finite difference scheme for the Hodgkin-Huxley equations. Japan Journal of Industrial and Applied Mathematics 35(2018) 773–785

Agbebaku DF and van der Walt JH Differential algebras of generalised functions with dense singularities. Quaestiones Mathematicae 41(2)(2018) 283–301

Amikiya AE, Banda MK Modelling and simulation of reactive transport phenomena. Journal of Computational 28(2018) 155–167

Amikiya AE, Banda MK A stoichiometric method for reducing simulation cost of chemical kinetic models. Computers and Chemical Engineering 112(2018) 274‐291

Anguelov R, Dukuza K, Lubuma JM-S Backward bifurcation analysis for two continuous and discrete epidemiological models. Math Meth Appl Sci. 41(2018) 8784–8798

Anguelov R, Borisov M, Iliev A, Kyurkchiev N, Markov S On the chemical meaning of some growth models possessing Gompertzian-type property 41(2018) 8365–8376

Anh PN, Van den Berg JE A new class of simple noetherian V-domains. The Journal of Algebra 493(2018)410–437

Appadu AR, Djoko JK, Gidey HH. Performance of some finite difference methods for a 3D advection-diffusion equation. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas (RACSAM) 112(2018) 1179-1210

Banasiak J Population models with projection matrix with some negative entries – A solution to the Natchez Paradox. Bulletin of the South Ural State University. Ser. Mathematical Modelling, Programming & Computer Software (Bulletin SUSU MMCS) 11(3)(2018) 18-28

Banasiak J, Puchalska A Generalized network transport and Euler-Hille formula. Discrete and Continuous Dynamical Systems-B 23(5)(2018) 1873-1893 

Banasiak J, Joel LO, Shindin S Analysis and simulations of the discrete fragmentation equation with decay. Math Meth Appl Sci. 41(2018) 6530-6545

Barrett DI, Biggs R, Remsing CC Quadratic Hamilton–Poisson systems on se(1,1)*: the inhomogeneous case. Acta Appl. Math. 154(2018) 189–230  

Berge T, Chapwanya M, Lubuma JMS, Terefe YA A Mathematical model for Ebola epidemic with self-protection measures. Journal of Biological Systems 26(1)(2018) 107-131

Billman A, Harding A, Engelbrecht J Does the chalkboard still hold its own against modern technology in teaching mathematics? A case study, International. Journal of Mathematical Education in Science and Technology 49(6)(2018) 809-1823

Broere I Almost every non-negative integer contains . . .  Bulletin of the Institute of Combinatorics and its Applications, 82(2018) 72-79

Broere I, Heidema J, Pretorius L Graphs congruences and what they connote.  Quaestiones Mathematicae 41(8)(2018) 1045-1058

Cerone P, Dragomir SS, Kikianty E Jensen–Ostrowski inequalities and integration schemes via the darboux expansion. Ukrainian Mathematical Journal 69(8)(2018) 1306-1327

Chapwanya M, Dumont Y On crop vector-borne diseases. Impact of virus lifespan and contact rate on the traveling-wave speed of infective fronts. Ecological Complexity 34(2018) 119-133

Civina D, van Rensburg NFJ, van der Merwe AJ Using energy methods to compare linear vibration models. Applied Mathematics and Computation 321(2018) 602–613

Danbaba UA, Garba SM Modeling the transmission dynamics of Zika with sterile insect technique. Mathematical Methods in the Applied Sciences 41(2018) 8871-8896

Djoko JK, Konlack VS, Mbehou M Iterative methods for Stokes flow under nonlinear slip boundary condition coupled with the heat equation. Computers and Mathematics with Applications 76 (2018) 2613–2634

Dumont Y, Soulie J-C, Michel F Modeling oil palm pollinator dynamics using deterministic and agent‐based approaches. Applications on fruit set estimates. Some preliminary results. Math Meth Appl Sci. 41(2018) 8545–8564

Dziwa SK, Sauer N Waves without the wave equation: Examples from nonlinear acoustics. International Journal of Engineering Science 133(2018) 196-209

Garba SM, Mumba CK Mathematical Modelling for the transmission dynamics of Trichomonas Vaginalis (TV) and HIV. Mathematical Methods in the Applied Sciences 41(2018) 8741-8764

Garba SM, Garba DL, Gumel AB, Sharomi O Mathematics of FIV and BTB Dynamics in Buffalo and Lion Populations at Kruger National Park. Mathematical Methods in the Applied Sciences 41(2018) 8697-8723

Guambe C, Kufakunesu R, Optimal investment-consumption and life insurance selection problem under inflation. A BSDE approach. Optimization 67(4)(2018) 457-473

Gumel AB, Lubuma JMS, Sharomi O, Terefe YA Mathematics of a sex-structured model for syphilis transmission dynamics. Math Meth Appl Sci. 41(2018) 8488–8513

Gunawan H, Kikianty E, Schwanke C Discrete Morrey Space and their inclusion properties. Mathematische Nachrichten 291(2018) 1283-1296

Kenfack Nangho M, Jordaan K A Structure relations of classical orthogonal polynomials in the quadratic and q-quadratic variable. SIGMA 14(2018) 1-26

Kufakunesu R On the multi-dimensional portfolio optimization with stochastic volatility. Quaestiones Mathematicae 41(1)(2018) 27–40

Lee WS, Engelbrecht JC, Möller MP Tensor Calculus: Unlearning Vector Calculus. International Journal of Mathematical Education in Science and Technology (TMES) 49(2)(2018) 293-304

Lee WS, Sauer N Intertwined Markov Processes: Extended Chapman-Kolmogorov Equation. Proceedings of the Royal Society of Edinburgh, Section: A Mathematics 148A(2018) 123–131

Lerata MB Lubuma JMS Yusuf AA Continuous and discrete dynamical systems for the declines of honeybee colonies. Math Meth Appl Sci. 41(2018) 8724–8740

Le Roux C Flows of incompressible viscous liquids with anisotropic wall slip. Journal of Mathematical Analysis and Applications 465(2018) 723–730

Malinzi J, Ouifki R, Eladdadi A, Torres DFM, White KAJ Enhancement of chemotherapy using oncolytic virotherapy: Mathematical and optimal control analysis. Mathematical Biosciences and Engineering 15(6)(2018) 1435-463

Maré E A note on equity returns for South African investors South African Journal of Science 114(7/8)(2018) 1-2

Maré E Risk Homeostasis and the Hamster. The South African Treasurer (2018)4-6

Mukhtar AYA, Munyakazi JB, Ouifki R, Clark AE Modelling the effect of bednet coverage on malaria transmission in South Sudan. PLoS ONE 13(6)(2018) 1-22

Messerschmidt M Strong Klee–Andô Theorems through an Open Mapping Theorem for cone-valued multi-functions. Journal of Functional Analysis 275(2018) 3325–3337

Nembot C, Soh PT, ten Hoopen GM, Dumont Y Modeling the temporal evolution of cocoa black pod rot disease caused by Phytophthora megakarya. Math Meth Appl Sci. 41(2018) 8816–8843

Razafimandimby PA, Bessaih H, Hausenblas E, Randrianasolo T Numerical approximation of stochastic evolution equations: Convergence in scale of Hilbert spaces. Journal of Computational and Applied Mathematics 343(2018) 250-274

Razafimandimby PA, Brzezniak Z, Hausenblas E Stochastic Reaction-diffusion Equations Driven by Jump Processes. Potential Analysis 49(2018) 131–201

Razafimandimby PA Viscosity limit and deviations principles for a grade-two fluid driven by multiplicative noise. Annali di Matematica Pura ed Applicata 197(2018) 1547-1583

Reyneke F, Fletcher L, Harding AF The Effect of Technology-based Interventions on the Performance of First Year University Statistics Students. African Journal of Research in Mathematics, Science and Technology Education 22(2)(2018) 231-242

Sauer N, Banasiak J, Lee WS Causal relations in support of implicit evolution equations. Bulletin of the South Ural State University. Ser. Mathematical Modelling, Programming & Computer Software (Bulletin SUSU MMCS) 11(3)(2018) 85-102

Tapi D, Beihle B, Bowong S, Dumont Y Models for Miridae, a cocoa insect pest. Application in control strategies. Math Meth Appl Sci. 41(2018) 8673–8696De Wet JP, Frick M, Van Aardt SA  Hamiltonicity of Locally Hamiltonian and Locally Traceable Graphs. Discrete Applied Mathematics 236(2018) 137-152

Tcheutia D, Jooste AS, Koepf W Mixed recurrence equations and interlacing properties for zeros of sequences of classical q-orthogonal polynomials. Applied Numerical Mathematics 125(2018) 86–102

Tcheutia D, Jooste AS, Koepf W Quasi-Orthogonality of Some Hypergeometric and q-Hypergeometric Polynomials. SIGMA 14(2018), 051, 1-26

Ter Horst S, Messerschmidt M, Ran ACM, Roelands M, M Wortel M Equivalence after extension and Schur coupling coincide for inessential operators. Indagationes Mathematicae 29(5)(2018) 1350-1361

Tsanou B, Bowong S, Lubuma JMS, Manyombe MLM Modeling Ebola virus disease transmissions with resevoir in a complex virus life ecology. Mathematical Biosciences and Engineering 15(1)(2018) 21-56

Tsanou B, Lubuma JMS, Tassé AJO, Tenkam HM Dynamics of host-reservoir transmission of Ebola with spillover potential to humans. Electronic Journal of Qualitative Theory of Differential Equations 14(2018) 1-32

Tsanou B, Tassé AJO, Tenkam HM, Lubuma JMS Mathematical modeling of contact tracing 6 as a control strategy of Ebola virus disease. International Journal of Biomathematics 11(7)(2018) 1-36

Van Appel V, Maré E  The Ross Recovery Theorem with a Regularised Multivariate Markov Chain. ORION 34(2018)(2) 133-155

Van der Walt JH The universal completion of C(X) and unbounded order convergence. Journal of Mathematical Analysis and Applications 460(1)(2018) 76–97

Wiggins HZ, Harding AF, Engelbrecht JC Visualising Complex Polynomials: A Parabola Is but a Drop in the Ocean of Quadratics. Journal of Mathematics Research 10(6)(2018) 91-97

Wiggins HZ Perpendicular Lines: Four Proofs of the Negative Reciprocal Relationship. Learning and Teaching Mathematics 25(2018) 28-31

Yatat Djeumen IV, Tamen AT, Dumont Y, Couteron P A tribute to the use of minimalistic spatially-implicit models of savanna vegetation dynamics to address broad spatial scales in spite of scarce data. Biomath 7(2018) 1-29

Zhao ZX, Banda MK, Guo BZ Simultaneous identification of damping coefficient and initial value for PDEs from boundary measurement. International Journal of Control 91(7)(2018) 1508-1521


Abbas M, Leyew BT, Khan SH A New f-Generalized Quasi Metric Space with Some Fixed Point Results and Applications. Filomat 31(11)(2017) 3157–3172

Abbas M, Rakocevic V, Leyew BT Common Fixed Points of (a-y)-Generalized Rational Multivalued Contractions in Dislocated Quasi b-Metric Spaces and Applications. Filomat 31(11)(2017) 3263–3284

Agbebaku DF and van der Walt JH The Order Completion Method: A differential-algebraic representation. Novi Sad Journal of Mathematics 1(2017), 17-46

Ali B, Abbas M Existence and stability of fixed point set of Suzuki-type contractive multivalued operators in b-metric spaces with applications in delay differential equations. J. Fixed Point Theory Appl. 19(2017) 2327-2347

Ali B, Abbas M Existence and Ulam–Hyers stability of fixed point problem of generalized Suzuki type $ $( \alpha _{*}{,\psi }_{\varphi })$$ ( α ∗ , ψ φ ) -contractive multivalued operators. RACSAM 111(2017) 1129-1146

Alolaiyana HA, Ali B, Abbas M Fixed point results of Edelstein-Suzuki type multivalued mappings on b-metric spaces with applications. J. Nonlinear Sci. Appl. 10(2017), 1201–1214

Anguelov R, Stoltz SM Stationary and oscillatory patterns in a coupled Brusselator model. Mathematics and Computers in Simulation 133(2017) 39-46

Anguelov R, Dufourd CC, Dumont Y Simulations and parameter estimation of a trap-insect model using a finite element approach. Mathematics and Computers in Simulation 133(2017) 47-75

Anguelov R Duford CC Dumont Y Mathematical model for pest–insect control using mating disruption and trapping. Applied Mathematical Modelling 52(2017), 437–457

Appadu AR Performance of UPFD scheme under some different regimes of advection, diffusion and reaction. International Journal of Numerical Methods for Heat and Fluid Flow, 27(7)(2017) 1412-1429

Appadu R, Djoko JK, Gidey H and Lubuma JM Analysis of Multilevel Finite Volume Approximation of 2D Convective Cahn-Hilliard Equation. Japan Journal of Industrial and Applied Mathematics 34(2017), 253–304

Appadu AR, Chapwanya M, Jejeniwa OA Some optimised numerical schemes for the Korteweg-de Vries equation.  Progress in Computational Fluid Dynamics, 17(4)(2017),  250-266

Appadu A, Djoko JK and Hagos G A priori analysis of multilevel finite volume approximation of 1D convective Cahn-Hilliard equation. Afrika Matematica 28(2017) 1193–1233

Appadu AR, Lubuma JM-S, Mphephu N Computational study of three numerical methods for linear and non-linear advection-diffusion-reaction equations.  Progress in Computational Fluid Dynamics 17(2)(2017), 114-129

Arega N, Van den Berg JE Two-sided residuation in the set of topologizing filters on a ring. Communications in Algebra, 45(3)(2017) 992–1011

Banasiak J, Seuneu Tchamga MS Delayed stability switches in singularly perturbed predator-prey models. Nonlinear Analysis: Real World Applications, 35(2017), 312–335

Banasiak J, Falkiewicz A A singular limit for an age structured mutation problem. Mathematical Biosciences and Engineering, 14(1)(2017), 17-30

Bartlett CE, Biggs R, Remsing CC. Control systems on nilpotent Lie groups of dimension ≤ 4: equivalence and classification. Differential Geom. Appl. 54(2017),   282-297

Bezhanishvili G, Moraschini T Raftery JG  Epimorphisms in varieties of residuated structures. Journal of Algebra 492(2017), 185-211

Biggs R, Falcone G. A class of nilpotent Lie algebras admitting a compact subgroup of automorphisms. Differential Geom. Appl. 54(2017), 251-263

Biggs R Isometries of Riemannian and sub-Riemannian structures on three-dimensional Lie groups. Commun. Math. 25(2017) 99–135

Biggs R, Remsing CC Invariant control systems on Lie groups: a short survey.  Extracta Math. 32(2)(2017), 213–238

R Biggs, CC Remsing, A note on the equivalence of control systems on Lie groups. Bul. Acad. Stiinte Repub. Mold. Mat. 85(3)(2017) 63-73

Broere I, Matsoha MDV Applications of Hajós-type constructions to the Hedetniemi Conjecture.  Journal of Graph Theory. 85(2)(2017) 585–594 

Broere I and Pilsniak M The distinguishing index of the Cartesian product of countable graphs. Ars Mathematica Contemporanea 13(2017), 15-21

Broere I, Semanišin G Some bounds on the generalised total chromatic number of degenerate graphs. Information Processing Letters 122 (2017), 30–33

Campercholi MA and Raftery JG Relative congruence formulas and decompositions in quasivarieties.  Algebra Universalis 78(3)(2017), 407-425

Cerone P, Dragomir SS, Kikianty E Ostrowski and trapezoid type inequalities related to Pompeiu's mean value theorem with complex exponential weight. Journal of Mathematical Inequalities 11(4)(2017) 947–964

Dragomir SS, Kikianty E Chebyshev type inequalities by means of copulas. Journal of Inequalities and Applications (2017) 2017:272

De Jongh PJ, Larney J, Maré E, van Vuuren GW, Verster T A proposed best practice model validation framework for banks. South African Journal of Economic and Management Sciences 20(1)(2017) 1-15

Djoko JK Convergence analysis of the nonconforming finite element discretization of Stokes and Navier-Stokes equations with nonlinear slip boundary conditions. Numerical functional analysis and optimization 38(8)(2017), 951-987

Driver K, Jooste AS Interlacing of zeros of Quasi-orthogonal Meixner polynomials. Quaestiones Mathematicae 40(4)(2017) 477–490

Flint E, Maré E Fractional Black–Scholes option pricing, volatility calibration and implied Hurst exponents in South African context. South African Journal of Economic and Management Sciences 20(1)(2017) 1-11

Flint E, Maré E Estimating option-implied distributions in illiquid markets and implementing the Ross recovery theorem. South African Actuarial Journal 17(2017) 1-28

Garba SM, Safi MA, Usaini S Mathematical model for assesing the impact of vaccination and treatment on measles transmission dynamics. Math Meth Appl Sci. 40(2017) 6371–6388

Goodwin SM, Le T, Magaard K The generic character table of a Sylow p-subgroup of a finite Chevalley group of type D4. Communications in Algebra, 45(12)(2017) 5158–5179

Jooste AS, Njionou Sadjang P, Koepf W Inner bounds for the extreme zeros of 3F2 hypergeometric polynomials. Integral Transforms and Special Functions 28(5)(2017), 361-373

Kikianty E Sinnamon G Angular equivalence of normed spaces. J. Math. Anal. Appl. 454(2)(2017) 942-960

Labushagne M, Stapelberg B, van Rensburg NFJ Error estimates for semi-discrete and fully discrete Galerkin finite element approximations of the general linear second order hyperbolic equation. Numerical Functional Analysis and Optimization 38(4)(2017), 466-485

Lee WS, Sauer N Intertwined evolution operators. Semigroup Forum, 94(2017), 204–228

Malinzi J, Eladdadi A, Sibanda P Modelling the spatiotemporal dynamics of chemovirotherapy cancer treatment. Journal of Biological Dynamics 11(1)(2017) 244-274

Maré E and Flint E Fractional Black-Scholes option pricing, volatility calibration and implied Hurst exponents in a South African context. SAJEMS 20(1)(2017), 1-14

Maré E, Mba JC, Pindza E Discrete singular convolution for the generalized variable-coefficient Korteweg-de Vries equation. Quaestiones Mathematicae 40(2)(2017), 225–244

Maré E Volatility and the Skunk. ACTSA (2017) 21-23

Mahasa KJ, Eladdadi A, de Pillis L, Ouifki R Oncolytic potency and reduced virus tumor-specificity in oncolytic virotherapy. A mathematical modelling approach. PLOS ONE 12(9)(2017) e0184347

Mohammed M Homogenization of nonlinear hyperbolic stochastic equation via Tartar’s method. Journal of Hyperbolic Differential Equations 14(2)(2017) 323–340

Ntumba PP, Yizengaw BY On filtration of Clifford A-algebras and localization of A-modules. Quaestiones Mathematicae 40(2)(2017), 177-195

Ntumba PP Massamba F On sheaves of differential operators. Rendiconti dell'Istituto di Matemstica dell'Università di Trieste 49(2017) 357–365

Obaid HA, Ouifki R, Patidar KC A nonstandard finite difference method for solving a mathematical model of HIV-TB co-infection, Journal of Difference Equations and Applications, 23(6)(2017) 1105–1132

Pindza E and Maré E Discrete singular convolution mapping methods for solving singular boundary value and boundary layer problems. Eur. Phys. J. Plus 132 (2017), 141

Razafimandimby PA Grade-two fluids on non-smooth domain driven by multiplicative noise: Existence, uniqueness and regularity. Journal of Differential Equations 263(2017), 3027–3089

Sanderson LB, Maré E, De Jongh DCJ Banking regulations: An examination of the failure of African Bank using Merton’s structural model. South African Journal of Science 113(7/8)(2017) 1-7 

Terefe YA, Lubuma JM-S Global stability for the continuous and discrete SIS-diffusion epidemiological models. Quaestiones Mathematicae 40(2)(2017), 161–176

Tsanou B Bowonga S Lubuma JMS Global stability of a two-patch cholera model with fast and slow transmissions. Mathematics and Computers in Simulation 133(2017), 142–164

Tsanou B, Bowong S, Lubuma J, Mbang J  Assessing the impact of the environmental contamination on the transmission of Ebola virus disease (EVD)Journal of Applied Mathematics and Computing 55(2017) 205-243

Usaini S, Lloyd A, Anguelov R, Garba SM Dynamical behavior of an epidemiological model with a demographic Allee effect. Mathematics and Computers in Simulation 133(2017), 311–325

Van der Hoff Q, Harding AF Cause-effect Analysis: Improvement of a First year Engineering Students’ Calculus Teaching Model. International Journal of Mathematical Education in Science and Technology 48(1)(2017), 16-30

Van der Hoff Q Interdisciplinary education – a predator–prey model for developing a skill set in mathematics, biology and technology. International Journal of Mathematical Education in Science and Technology 48(6)(2017), 928-938 

Van der Walt JH Vector-valued interval functions and the Dedekind completion of C(X,E),  Positivity 21(2017), 1143–1159

Wiggins HZ, Harding AF, Engelbrecht JC Sibling curves of quadratic polynomials. Quaestiones Mathematicae 40(2)(2017), 215-223

Wiggins HZ, Harding AF, Engelbrecht JC Student enrichment in mathematics: a case study with first year university students. International Journal of Mathematical Education in Science and Technology 48(2017), S16-S29

Youbi F, Pindza E, Mare E A Comparative Study of Spectral Methods for Valuing Financial Options. Applied Mathematics & Information Sciences An International Journal 11(3)(2017), 1-12

Zhao ZX, Banda MK, Guoc BZ Simultaneous identification of diffusion coefficient, spacewise dependent source and initial value for one-dimensional heat equation. Math. Meth. Appl. Sci. 40(2017) 3552-3565


Aderogba AA, Chapwanya M, Djoko JK, Lubuma JM-S  Coupling finite volume and nonstandard finite difference schemes for a singularly perturbed Schrödinger equation.  International Journal of Computer Mathematics 93(11)(2016), 1833–1844

Akimenko V and Anguelov R Steady states and outbreaks of two-phase nonlinear age-structured model of population dynamics with discrete time delay. Journal of Biological Dynamics 11(1)(2016), 75–101

Ali ZI, Sango M Weak and strong probabilistic solutions for a stochastic quasilinear parabolic equation of generalized polytropic filtration.  Russian Journal of Mathematical Physics 23(3)(2016), 283–308

Ali ZI, Abbas M, Costache S Fixed fuzzy point theorems for fuzzy mappings on complete metric spaces. U.P.B. Sci. Bull. Series A 78(3)(2016), 31-42

Ali ZI, Sango M A note on weak and strong probabilistic solutions for a stochastic quasilinear parabolic equation of generalized polytropic filtration. International Journal of Modern Physics B 30(28&29)(2016), 1640002-1640013

Appadu AR, Djoko JK, Gidey HH  A computational study of three numerical methods for some advection-diffusion problems.  Applied Mathematics and Computation 272(3)(2016), 629-647

Banasiak J Explicit formulae for limit periodic flows on networks. Linear Algebra and Applications, 500(2016), 30-42

Banasiak J Kinetic models - mathematical models of everything? Comment on "Collective learning modeling based on the kinetic theory of active particles" by D. Burini et al. Physics of Life Reviews, 16(2016), 40-41

Banda MK, Häck AS and HertyM Numerical Discretization of Coupling Conditions by High-Order Schemes. J Sci Comput 69(2016), 122–145

Bothma K, Engelbrecht JC, Harding AF Rethinking the feedback format in formative assessment of undergraduate mathematical competencies. Far East Journal of Mathematical Education 16(2016), 347-370

Broere I, Heidema J, Matsoha MDV  The quest for characterization of hom-properties of finite character. Discussiones Mathematicae Graph Theory, 36(2016), 479–500

Broere I and Borowiecki M Hamiltonicity and generalised total colourings of planar graphs.  Discussiones Mathematicae Graph Theory, 36(2016), 243–257

Cerone P, Dragomir SS, Kikianty E Ostrowski and Jensen type inequalities for higher derivatives with applications. Journal of Inequalities and Special Functions7(1)(2016), 61-77

Chin PWM Rate of convergence for a fully-discrete reliable scheme for a system of nonlinear time-dependent Joule heating equation. Applied Mathematics & Information Sciences 10(3)(2016), 997-1007

Chin PWM Error estimates on stable and reliable numerical scheme for a fully discrete time-dependent Allen Cahn equation. Applied Mathematics & Information Sciences 10(4)(2016), 1393-1402

Djoko JK, Koko J Numerical methods for the Stokes and Navier-Stokes equations driven by threshold slip boundary conditions. Computer Methods in Applied Mechanics and Engineering 305(2016), 936-958

Djoko JK, Lubuma JM-S Analysis of a time implicit scheme for the Oseen model driven by nonlinear slip boundary conditions. Journal of Mathematical Fluid mechanics 18(2016), 717–730

Djoko JK, Lubuma JM-S and Mbehou M On the numerical solution of the stationary power-law Stokes equations: A penalty finite element approach. Journal of Scientific Computing 69(2016),1058–1082

Driver K, Jordaan K Symmetry, Zeros of Quasi-Orthogonal Jacobi Polynomials. Symmetry, Integrability and Geometry: Methods and Applications SIGMA 12(2016), 042, 13 pages

Engelbrecht I, Robertson M, Stoltz M, Joubert JW Reconsidering environmental diversity (ED) as a biodiversity surrogacy strategy. Biological Conservation, 197(2016), 171–179

Gochhayat P, Jordaan K, Raghavendar K, Swaminathan A  Interlacing properties and bounds for zeros of 2Φ1 hypergeometric and little q-Jacobi polynomials.  Ramanujan Journal, 40(2016), 45–62

Hussaini N, Lubuma JM-S, Barley K, Gumel AB Mathematical analysis of a model for AVL–HIV co-endemicity Mathematical Biosciences 271 (2016), 80–95

Johnston SJ, Jooste A, Jordaan K Quasi-orthogonality of some hypergeometric polynomials. Integral Transforms and Special Functions 27(2016)(2), 111-125

Maepa SM, Mewomo OT On character amenability of semigroup algebras. Quaestiones Mathematicae 39(3)(2016), 307-318

Marais MS, Steenpass A The classification of real singularities using SINGULAR. Part II: The structure of the equivalence classes of the unimodal singularities. Journal of Symbolic Computation 74(2016), 346-366

Maré E Safe spending rates for South African retirees. South African Journal of Science 112(2016), 1-4 Art.#a0138, 4 pages.

Mohammed M, Sango M Homogenization of Neumann problem for hyperbolic stochastic partial differential equations in perforated domains. Asymptotic Analysis 97(3-4)(2016), 301-327 

Mohammed M, Sango M A Tartar approach to periodic homogenization of linear hyperbolic stochastic partial differential equation. International Journal of Modern Physics B 30(28&29)(2016), 1640020-1640029

Pindza E, Owolabi KM Fourier spectral method for higher order space fractional reaction–diffusion equations. Commun Nonlinear Sci Numer Simulat 40(2016), 112–128

Raftery JG and Swirydowicz K Structural completeness in relevance logics. Studia Logica 104(3)(2016), 381-387

Raftery JG  Admissible rules and the Leibniz hierarchy.  Notre Dame Journal of Formal Logic 57(4)(2016), 569-606

Sango M, Tegegn TA Harmonic analysis tools for stochastic magnetohydrodynamics equations in Besov spaces. Int. J. Mod. Phys. B 30(28&29)(2016), 1640025-1640038

Tenkam HM, Shatalov M, Fedotov I, Anguelov R  Mathematical models for the propagation of stress wave in elastic rods: Exact solution and numerical simulation. Advances in Applied Mathematics and Mechanics, 8(2)(2016), 257-270

Tenkam HM, Anguelov R, Fedotov I, M Shatalov Exact solution of the Mindlin-Herrmann model for longitudinal vibration of an isotropic rod. Journal of Engineering Mathematics 99(2016), 185–201

Terefe YA, Chapwanya M, Lubuma JM-S Analysis and dynamically consistent nonstandard discretization for a rabies model in humans and dogs. RACSAM 110(2016), 783–798

Tsanou B, Lubuma JM-S Moremedi GM, Shava RK A Simple Mathematical Model for Ebola in Africa. Journal of Biological Dynamics 11(2016), 42–74 

Van der Hoff Q and Fay TH A Predator-Prey Model with Predator Population Saturation. Mathematics and Statistics 4(4)(2016), 101-107

Van der Hoff Q Interdisciplinary education – a predator–prey model for developing a skill set in mathematics, biology and technology. International Journal of Mathematical Education in Science and Technology 48(6)(2017), 928-938 

Van der Walt JH  A closed graph theorem for order bounded operators. Quaestiones Mathematicae 39(2)(2016),167-178

Yohana EM and Banda MK High-order relaxation approaches for adjoint-based optimal control problems governed by nonlinear hyperbolic systems of conservation laws J. Numer. Math. 24(1)(2016) 45–71


Abbas M, Alfuraidan MR, Khan AR, Nazir T  Fixed point results for a set-contractions on metric spaces with a directed graph.  Fixed Point Theory and Applications, (2015), 2015:14, (9 pages)

Abbas M, Ali B, Butt AR Existence and data dependence of the fixed points of generalized contraction mappings with applications. 109(2015), 603-621

Abbas M, Illic D and Nazir T Iterative approximation of fixed points of generalized weak Presić type k-step iterative method for a class of operators. Filomat, 29(4)(2015), 713-724

Abbas M, Murtaza G and Romaguera S Soft contraction theorem. Journal of Nonlinear and Convex Analysis, 16(3)(2015), 423-435

Khan AR, Abbas M, Shehu Y and Ansari Q A general convergence theorem for multiple set split feasibility problem in Hilbert space. Carpathian Journal of Mathematics, 31(3)(2015), 349-357

Abbas M, Ali B and Suleiman I Common Fixed Points of Locally Contractive Mappings In Multiplicative Metric Spaces with Application. International Journal of Mathematics and Mathematical Sciences, (2015), Article ID 218683, 7 pages

Abbas M, Nazir T and Gopal D Common fixed point results for generalized cyclic contraction mappings. Afrika Matematika, (26)(2015), 265-273

Abbas M, Rajic VC, Nazir T and Radenovic S Common fixed point of mappings satisfying rational inequalities in ordered complex valued generalized metric spaces. Afrika Matematika, (26)(2015), 17-30

Shukla S and Abbas M Fixed points of ordered fuzzy cyclic contractions without monotone property. Asia Pacific Journal of Mathematics, 2(1)(2015), 9-19

Abbas M and Ali B Fixed fuzzy points of generalized Geraghty type fuzzy mappings on complete metric spaces. Iranian Journal of Fuzzy systems, 12(4)(2015), 133-146

Abbas M, De la Sen M and Nazir T Common fixed points of generalized rational type co-cyclic mappings in multiplicative metric spaces. Discrete Dynamics in Nature and Society, (2015), Article ID 532725, 10 pages

Abbas M, Ali B, Romaguera S Coincidence points of generalized multivalued (f, L)-almost F-contraction with applications. Journal Nonlinear Sciences and Applications 8(2015), 919-934

Abbas M, Ali B and Vetro C Fixed points of fuzzy mappings in Hausdorff fuzzy metric spaces with applications. Iranian Journal of Fuzzy systems, 12(3)(2015), 31-45

Abbas M, Ali B, Suleiman YI  Generalized coupled common fixed point results in partially ordered A-metric spaces.  Fixed Point Theory and Applications, (2015), 2015:64, (24 pages)

Aderogba AA, Chapwanya M An explicit nonstandard finite difference scheme for the Allen-Cahn equation. Journal of Difference Equations and Applications 21(10)(2015), 875–886

Ali B and Abbas M Fixed point theorem for multivalued contractive mappings in fuzzy metric spaces. American Journal of Applied Mathematics, 3(3-1)(2015), 41-45

Alshahrani M, Abbas M, Ansari QH and Homidan SA Iterative schemes for generalized nonlinear complementarity problems on isotone projection cones. Journal of convex and nonlinear Analysis, 16(2015), 1681-1697

Anguelov R, Butler PW, Rohwer CH, Wild M Calculating the output distribution of stack filters that are erosion-dilation cascades, in particular LULU –filters. Quaestiones Mathematicae 38(2015), 463-482

Appadu AR, Neossi Nguetchue S  The technique of MIEELDLD as a measure of the shock-capturing property of numerical methods of hyperbolic conservation laws.  Progress in Computational Fluid Dynamics, 15(4)(2015), 247-264

Banda MK, Herty M, Medard J, Ngnotchouyec T On linearized coupling conditions for a class of isentropic multiphase drift-flux models at pipe-to-pipe intersections. Journal of Computational and Applied Mathematics 276(2015), 81–97

Bessenrodt C, Nguyen HN, Olsson JB, Tong-Viet HP  Complex group algebras of the double covers of the symmetric and alternating groups.  Algebra and Number Theory, 9(3)(2015), 601-628

Broere I, Pilsniak M  The Distinguishing index of finite graphs.  Electronic Journal of Combinatorics, 22(1)(2015), P1.78

Caluyna Pedro J, Banda MK Sibanda P Implicit-explicit higher-order time integration schemes for computations of structural dynamics with fluid-structure interaction. Applications and Applied Mathematics 10(2015), 287 – 311

Chapwanya M, Misra NN  A soft condensed matter approach towards mathematical modelling of mass transport and swelling in food grains.  Journal of Food Engineering, 145(2015), 37-44

Chapwanya M, Misra NN  A mathematical model of meat cooking based on polymer-solvent analogy. Applied Mathematical Modelling,  39(2015), 4033 - 4043

Clarkson PA, Jordaan K and Kelil A A Generalized Freud Weight. Studies in Applied Mathematics 136(2015), 288-320

Conradie JJ, Mabula MD  Convergence and completeness in asymmetrically normed sequence lattices.  Quaestiones Mathematicae, 38(1)(2015), 73-81

Deugoue G, Sango M  Strong solutions for the stochastic 3D LANS-α model driven by non-Gaussian Lévy noise.  Stochastics and Dynamics, 15(2)(2015), Article ID 150011 (38 pages)

Djoko Kamdem J, Mbehou M  Finite element analysis of the stationary power-law Stokes equations driven by friction boundary conditions. Journal of Numerical Mathematics,  23(1)(2015),  2140

Galatos N, Raftery JG  Idempotent residuated structures: some category equivalences and their applications. Transactions of the American Mathematical Society, 367(5)(2015), 3189-3223

Garba SM, Gumel A, Hassan AS, Lubuma JM-S  Switching from exact scheme to nonstandard finite difference scheme for linear delay differential equation.  Applied Mathematics and Computation, 258(2015), 388-403

Gopal D, Vetro C, Abbas M, Patel DK  Some coincidence and periodic points results in a metric space endowed with a graph and applications.  Banach Journal of Mathematical Analysis, 9(3)(2015), 128-139

Harding A., Engelbrecht JC  Personal learning network clusters: A comparison between mathematics and computer science students. Educational Technology & Society, (18)(3)(2015), 173-184

Illic D, Abbas M and Nazir T Iterative approximation of fixed points of Presić operators on partial metric spaces. Mathematische Nachrichten, DOI 10.1002/mana.201400235 (2015), 1-13

Johnson SJ, Jordaan K  Quasi-orthogonality and real zeros of some 2F2 and 3F2 polynomials. Applied Numerical Mathematics, 90(2015), 1-8

Kellerman R  First-order aspects of tree paths.  Logic Journal of the IGPL, 23(4)(2015), 688-704

Kotzé A, Oosthuizen R, Pindza E  Implied and local volatility surfaces for South African index and foreign exchange options.  Journal of Risk and Financial Management, (8)(2015), 43-82

Kufakunesu R  Optimal investment models with stochastic volatility: The time inhomogeneous case.  Quaestiones Mathematicae, 38(2)(2015), 237-255

Kufakunesu R, Guambe C  A note on optimal investment-consumption-insurance in a Levy market. Insurance Mathematics and Economics, 65(2015), 30–36

Lee WS, Sauer N An algebraic approach to implicit evolution equations. Bulletin of the Polish Academy of Sciences Mathematics, 63(2015), 33-40

Lubuma JM-S· Terefe YA A nonstandard Volterra difference equation for the SIS epidemiological model, RACSAM 109(2015), 597–602

Mabitsela L, Maré E, Kufakunesu R  Quantification of VaR: Note on VaR valuation in the South African equity market.  Journal of Risk and Financial Management, (8)(2015), 103-126

Marais MS, Steenpass A  The classification of real singularities using SINGULAR. Part I: Splitting lemma and simple singularities.  Journal of Symbolic Computation, 68(1)(2015), 61-71

Marais MS, Ren Y Mora's holy grail: Algorithms for computing in localizations at prime ideals. International Journal of Algebra and Computation 25(7)(2015), 1125–1143

Mewomo OT, Maepa SM, Uwala MO  On character and approximate character amenability of various Segal algebras. To appear in Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, 31(2015), 273-283

Nashine HK, Abbas M, Frigon M and VetroC Recent Developments on Fixed Point Theory in Function Spaces and Applications to Control and Optimization Problems. Journal of Function spaces, (2015), Article ID 512564, 2 pages

Ngugi AM, Maré E, Kufakunesu R Pricing variable annuity guarantees in South Africa under a variance-gamma model. SA Actuarial Journal, 15(2015), 131-70

Okeke GA and Abbas M Convergence and almost sure T- stability for a random iterative sequence generated by a generalized random operator. Journal of Inequality and Applications, (2015)146

Potgieter M, Harding A, Kritzinger Q, Somo C, Engelbrecht J  Reflections of science students on their experience of an academic development programme in South Africa.  South African Journal of Higher Education, 29(1)(2015), 108-131

Rahimi H, Abbas M and Rad GS Common fixed point results for four mappings on ordered vector metric spaces. FILOMAT, 29(4)(2015), 865-878

Razafimandimby PA, Sango M  Existence and large time behavior for a stochastic model of modified magnetohydrodynamic equations. Zeitschrift für Angewandte Mathematik und Physik 66(2015), 2197–2235

Rosinger EE  Can There Be a General Nonlinear PDE Theory for Existence of Solutions?  Reviews in Theoretical Science, (3)(2015), 1–10

Roux A, Van der Merwe A, Van Rensburg NFJ  Elastic waves in a Timoshenko beam with boundary damping. Wave Motion 57(2015) 194–206

Saleem N, Ali B, Abbas, M, Raza Z  Fixed pointsof Suzuki type generalized multivalued mappings in fuzzy metric spaces with applications.  Fixed Point Theory and Applications, (2015), 2015:36, (18 pages)

Sango M, Mohammed M  Homogenization of linear hyperbolic stochastic partial differential equation with rapidly oscillating coefficients: The two scale convergence method.  Asymptotic Analysis, 91(2015), 341-371

Shukla S and Abbas M Fixed point results of cyclic contractions on product spaces. Carpathian Journal of Mathematics, 31(1)(2015), 119-126

Usaini S, Anguelov R, Garba SM Dynamics of SI Epidemic with a Demographic Allee Effect. Theoretical Population Biology, 106(2015), 1–13

Winstanley HF, Chapwanya M, Fowler AC, O'Brien SBG A 2D channel-clogging biofilm model. Journal of Mathematical Biology 71(2015), 647-668


Abbas M, Ali S, Kumam P  Common fixed points in partially ordered modular function spaces.  Journal of Inequalities and Applications, (2014), 2014:78, 12 pages

Abbas M, Khan SH, Postolache M  Existence and approximation results for SKC mappings in CAT (0) spaces.  Journal of Inequalities and Applications, (2014), 2014:212, 10 pages

Abbas M, Ali B, Romaguera S  Generalized contraction and invariant approximation results on non-convex subsets of normed spaces.  Abstract and Applied Analysis, (2014), Article ID 391952, 5 pages

Abbas M, Khalid A, Romaguera S  Fixed points of fuzzy soft mappings.  Applied Mathematics & Information Sciences, 8(5)(2014), 2141-2147

Abbas M, Ali B, Petrusel G  Fixed points of set-valued contractions in partial metric spaces endowed with a graph, Carpathian Journal of Mathematics, 30(2)(2014), 129 - 137

Abbas M, Nazir T  A new faster iteration process applied to constrained minimization and feasibility problems.  Mathematicki Vesnik, 66(2)(2014), 223-234

Abbas M, Zulfaqar I, Radenovic S  Common fixed point of (ψ, β)-generalized contractive mappings in partially ordered metric spaces.  Chinese Journal of Mathematics, (2014), Article ID 379049, 9 pages

Abel M, Ntumba PP  Universal problem for Kähler differentials in A-modules: Non-commutative and commutative cases.  Indian Journal of Pure and Applied Mathematics, 45(4)(2014), 497-511

Aderogba AA, Chapwanya, M, Djoko Kamdem J  On a fractional step-splitting scheme for the Cahn-Hilliard equation.  Engineering Computations, 31(7)(2014), 1151-1168

Aghajani A, Abbas M, Roshan JR, Common fixed point of generalized weak contractive mappings in partially ordered B-metric spaces.  Mathematica. Slovaca, 64(4)(2014), 941-960

Anguelov R, Dumont Y, Lubuma JM-S, Shillor M  Dynamically consistent nonstandard finite difference schemes for epidemiological models.  Journal of Computational and Applied Mathematics, 255(2014), 161-182

Anguelov R, Garba SM, Usaini S  Backward bifurication analysis of epidemic model with partial immunity.  Computers and Mathematics with Applications, 68(2014), 931-940

Appadu R  Optimized low dispersion and low dissipation Runge-Kutta algorithms in computational aeroacoustics.  Applied Mathematics & Information Sciences, 8(1)(2014), 57-68

Appadu AR  Applications and spectral analysis of some optimized high order low dispersion and low dissipation schemes.  Applied Mathematics & Information Sciences, 8(3)(2014), 993-1001

Arshad M, Azam A, Abbas M, Shoaib A  Fixed point results of dominated mappings on a closed ball in ordered partial metric spaces without continuity.  University Politehnica of Bucharest Scientific Bulletin-Series A-Applied Mathematics and Physics, 76(2)(2014), 123-134)

Basson M, De Villiers M, Van Rensburg NFJ  Solvability of a model for the vibration of a beam with a damping tip body.  Journal of Applied Mathematics, (2014), Article ID 298092, 7 pages (electronic article)

Broere I, Heidema J  Induced-hereditary graph properties, homogeneity, extensibility and universality.  Journal of Combinatorial Mathematics and Combinatorial Computing, 85(2013), 353-363

Broere I, Vetrik T  Universal graphs for two graph properties.  Ars Combinatoria, CXVI(2014), 257-262

Chandok S, Khan MS, Abbas M  Common fixed-point theorems for nonlinear weakly contractive mappings.  Ukranian Mathematical Journal, 66(4)(2014), 531-537

Chapwanya M, Lubuma JM-S, Mickens RE  Positivity-preserving nonstandard finite difference schemes for cross-diffusion equations in biosciences.  Computers and Mathematics with Applications, 68(2014), 1071-1082

Clarkson P, Jordaan K  The relationship between semi-classical Laguerre polynomials and the fourth Painlevé equation.  Constructive Approximation, 39(1) (2014), 223-254

Deugoue G, Sango M  Convergence for a splitting-up scheme for the 3D stochastic Navier-Stokes-alpha model.  Stochastic Analysis and Applications, 32(2014), 253-279

Djoko Kamdem J  On the time approximation of the Stokes equations with nonlinear slip boundary condition.  International Journal of Numerical Analysis and Modeling, 11(1)(2014), 34-53

Djoko Kamdem J, Razafimandimby PA  Analysis of the Brinkman-Forchheimer equations with slip boundary conditions.  Applicable Analysis, 93(7)(2014), 1477-1494

Engelbrecht J, Harding A, Potgieter M  Evaluating the success of a science academic development programme at a research-intensive university.  African Journal of Research in Mathematics, Science and Technology Education (AJRMSTE), 18(3)(2014), 287–298

Fowler AC, Chapwanya M  The instability theory for the formation of ribbed moraine, drumlins and mega-scale glacial lineations.   Proceedings of the Royal A -Mathematical Physical and Engineering Sciences, 470(2171)(2014), 20140185

Garba SM, Gumel AB, Hussaini N  Mathematical analysis of an age-structured vaccination model for measles.  Journal of the Nigerian Mathematical Society (JNMS), 33(2014), 41-76

García-Pacheco FJ, Puglisi D, Van Zyl AJ  Some more applications of the Hahn-Banach Theorem.  Journal of Convex Analysis, 21(1)(2014), 179-188

Gopal D, Abbas M, Vetro C  Some new fixed point theorems in Menger PM- spaces with application to Volterra type integral equations.  Applied Mathematics and Computation, 232(2014), 955-967

Grobler TL, Nunhokee CD, Smirnov OM, Van Zyl AJ, De Bruyn AG  Calibration artefacts in radio interferometry. I. Ghost sources in Westerbork Synthesis Radio Telescope data.  Monthly Notices of the Royal Astronomical Society, 439(4)(2014), 4030-4047

Hassan AS, Garba SM, Gumel A, Lubuma JM-S  Dynamics of mycobacterium and bovine tuberculosis in a human-buffalo population.  Computational and Mathematical Methods in Medicine, 2014, Article ID 912306, 20 pages 

Holdsworth C, Maré E  A note on a framework to assess the required equity risk premium using cumulative prospect theory.  Theoretical Economics Letters, (4)(2014), 89-90

Hussain N, Abbas M, Azam A, Ahmad J  Coupled coincidence point results for a generalized compatible pair with applications.  Fixed Point Theory and Applications, 2014:62 (2014), 21 pages

Jooste A, Jordaan K  Bounds for zeros of Meixner and Kravchuk polynomials.  LMS Journal of Computation and Mathematics, 17(1)(2014), 47-57

Jordaan K, Wang H, Zhou J  Monotonicity of zeros of polynomials orthogonal with respect to an even weight function.  Integral Transforms and Special Functions, 25(9)(2014), 721-729 

Jordaan K, Toókos F  Orthogonality and asymptotics of Pseudo-Jacobi polynomials for non-classical parameters.  Journal of Approximation Theory, 178(2014), 1-12

Khan AR, Abbas M, Nazir T, Ionescu C  Fixed points of multivalued contractive mappings in partial metric spaces, Abstract and Applied Analysis, (2014), Article ID 230708, 9 pages

Khan SH, Abbas M, Ali S  Fixed points of multivalued quasi-nonexpanisve mappings using a faster iterative process.  Acta Mathematica Scinica, 30(7)(2014), 1231-1241

Khan SH, Abbas M, Nazir T  Fixed point results for generalized Chatterjea t ype contractive conditions in partially ordered G- metric spaces. The Scientific World Journal, (2014), Article ID 341751, 7 pages

Khan SH, Abbas M  Common fixed points of two multivalued nonexpansive maps in Kohlenbach hyperbolic spaces.  Fixed Point Theory and Applications, (2014), 2014:181, 11 pages

Khan SH, Abbas M  Approximation of fixed point of multivalued p-nonexpansive mappings in modular function spaces.  Fixed Point Theory and Applications, (2014), 2014: 34, 9 pages

Khuzwayo B, Maré E  Aspects of volatility targeting for South African equity investors.  South African Journal for Economic and Management Sciences (SAJEMS NS), 17(5)(2014), 691-699

Kutbi MA, Ahmad J, Abbas M, Arshad M  Tripled coincidence and common fixed point results for two pairs of hybrid mappings, Abstract and Applied Analysis, (2014), Article ID 803729, 11 pages

Le Roux C  On flows of viscoelastic fluids of Oldroyd type with wall slip.  Journal of Mathematical Fluid Mechanics, 16(2014), 335-350

Maré E  Volatility – Ubiquitous, yet evasive.  The South African Treasurer: Special issue on Risk –Transforming Treasury (TMI Special report), 2014, 31-34

Mewomo OT, Maepa SM On character amenability of Beurling and second dual algebras.  Acta Universitatis Apulensis, 38(2014), 67-80

Mutangadura S  Convergence of Ishikawa iterations on noncompact sets.  Quaestiones Mathematicae, 37(2014), 191-198

Nazir T, Abbas M  Common fixed points of two pairs of mappings satisfying E.A- property in partial metric spaces.  Journal of Inequality and Applications, (2014), 2014:237, 12 pages

Nteumagné BF, Pindza E, Maré E  Applying the Barycentric Jacobi Spectral Method to price options with transaction costs in a fractional Black-Scholes framework.   Journal of Mathematical Finance, (4)(2014), 35-46

Ntumba PP  On the group sheaf of A-symplectomorphisms.  Mathematica Slovaca, 64(4)(2014), 843-858

Ntumba PP  Reflexivity of orthogonality in A-modules.  Quaestiones Mathematicae, 37(2014), 231-47

Ntumba PP, Yizengaw BY  On the commutativity of the Clifford and “extension of scalars” functors.  Topology and its Applications, 168(2014), 159-179

Öztürk M, Abbas M, Girgin E  Fixed points of mappings satisfying contractive condition of integral type in modular spaces endowed with a graph.  Fixed Point Theory and Applications, (2014), 2014: 220, 17 pages

Pindza E, Maré E  Sinc collocation method for solving the Benjamin-Ono equation. Journal of Computational Methods in Physics, (2014), ID 392962, 8 pages

Pindza E, Maré E  Solving the generalised regularised long wave equation using a distributed approximating functional method.  International Journal of Computational Mathematics, 2014 Article ID 178024, 12 pages

Rahim H, Vetro C, Abbas M, Rad GS  Tripled fixed point results for T-contractions on abstract metric spaces.  International Journal of Analysis and Applications, 6(2)((2014), 132-138

Rosinger EE  The Irrelevance of Bell Inequalities in Physics: Comments on the DRHM Paper, Quantum Matter, (3)(6)(2014), 499-504

Sango M, Tadmon C  On global well-posedness for the Einstein-Maxwell-Euler system in Bondi coordinates.  Rendiconti del Seminario Matematica della Universitá di Padova, 131(2014), DOI 10.4171/RSMUP/131-10

Sango M  Homogenization of stochastic semilinear parabolic equations with non Lipschitz forcings in domains with fine grained boundaries.  Communications in Mathematical Sciences, 12(2)(2014), 343-380

Shukla S, Abbas M  Fixed point results in fuzzy metric-like spaces.  Iranian Journal of Fuzzy Systems, 11(5)(2014), 81-92

Tadmon C  On the constraints problem for the Einstein-Yang-Mills-Higgs system.  Fixed Point Theory and Applications, 14(2013), 419-456

Thackeray HR, Van den Berg JE  Strong primeness in matrix rings.   Journal of Algebra, 420(2014), 509-527

Tsanwani A, Harding AF, Engelbrecht JC, Maree K  Perceptions of teachers and learners about factors that facilitate learners’ performance in mathematics in South Africa.  African Journal of Research in Mathematics, Science and Technology Education (AJRMSTE), 18(1)(2014), 40-51

Van der Walt JH  Linear and quasi-linear spaces of set-valued maps.  Computers and Mathematics with Applications, 68(2014), 1006-1015

Books / Chapters in Books


Raftery JG  Universal algebraic methods for non-classical logics.  Chapter in "Hiroakira Ono on Residuated Lattices and Substructural Logics'' (N. Galatos and K. Terui, eds.), Outstanding Contributions to Logic, Volume 23, Springer, Switzerland AG, 2022, pp. 27-70.


Chapwanya M, Dumont Y Application of Mathematical Epidemiology to crop vector-borne diseases. The cassava mosaic virus disease case. Miranda I. Teboh-Ewungkem; Gideon Akumah Ngwa. Infectious Diseases and our Planet 7(2021), Mathematics of Planet Earth, 978-3-030-50825-8.


Banasiak J, Bobrowski A, Lachowicz M, Tomilov Y Semigroups of Operators – Theory and Applications SOTA, Kazimierz Dolny, Poland, September/October 2018, Springer Proceedings in Mathematics & Statistics Volume 325

Banda MK, Herty M, Trimborn T Recent Developments in Controlled Crowd Dynamics Pages 133-157 in Crowd Dynamics, Volume 2 Theory, Models, and Applications Editors: Gibelli, Livio (Ed.) Birkhauser

Jooste AS (2020). Properties and Applications of the Zeros of Classical Orthogonal Polynomials. In: Orthogonal Polynomials. 2nd AIMS-Volkswagen Stiftung Workshop, Douala, Cameroon, 5-12 October, 2018, Tutorials, Schools, and Workshops in the Mathematical Sciences (TSWMS), Springer Nature, Cham, 2020, p.61-68. DOI 10.1007/978-3-030-36744-2_4

Lee WS,  Le Roux C Implicit Convolution Fokker-Planck Equations: Extended Feller Convolution Semigroups of Operators – Theory and Applications SOTA, Kazimierz Dolny, Poland, September/October 2018 In Honour of Jan Kisyński’s 85th Birthday (2020) p315 - 328 Springer Proceedings in Mathematics & Statistics Volume 325 ISBN 978-3-030-46078-5


Banasiak J (with Lamb W, Laurencot P) Analytic Methods for Coagulation-Fragmentation Models, Volume I & II, CRC Press, ISBN 9780367235444

Banasiak J, Puchalska A Transport on networks - a playground of continuous and discrete mathematics in population dynamics, Chapter in: Mathematics Applied to Engineering, Modelling, and Social Issues, Springer (Studies in Systems, Decision and Control), Ed. Frank Smith John N. Mordeson.

Chapwanya M, Dumont Y Application of Mathematical Epidemiology to crop vector-borne diseases. The cassava mosaic virus disease case. Chapter of Book. Springer serie Mathematics for Earth: Infectious Diseases and our Planet. (2019)

Messerschmidt M On the Lipschitz Decomposition Problem in Ordered Banach Spaces and Its Connections to Other Branches of Mathematics. Positivity and Noncommutative Analysis (2019) 405-423

Van der Walt JH Representations of the Dedekind Completions of Spaces of Continuous Functions Positivity and Noncommutative Analysis (2019) 563-581

Wortel M Cones and the Ordered Projective Tensor Product Positivity and Noncommutative Analysis (2019) 601-609


Frick M, Dunbar JE The Path Partition Conjecture, in Graph Theory: Favorite Conjectures and Open Problems, R. Gera, T.W. Haynes, S.T. Hedetniemi (eds), pp. 101-113, Springer Nature AG, Switzerland 2018.

Harding A Storytelling for tertiary mathematics in Gabriele Kaiser, Helen Forgasz, Mellony Graven, Alain Kuzniak, Elaine Simmt, Binyan Xu (Editors) Invited Lectures from the 13th International Congress on Mathematical Education. (2018) ISBN 978-3-319-72169-9 ISBN 978-3-319-72170-5 (eBook) Springer Open p 195 – 207


R Biggs, CC Remsing, Invariant control systems on Lie groups. In: G. Falcone (ed.), Lie Groups, Differential Equations, and Geometry, Springer, Cham, pp.127-181. DOI: 10.1007/978-3-319-62181-4_7; IN: ISBN: 978-3-319-62180-7 (Print) 978-3-319-62181-4 (Online);; UNIPA Springer; Series info:

Engelbrecht J, Harding A, Potgieter M Evaluation criteria for a science access program: A case study at a South African university (Chapter 4) in Wood, L. N. & Breyer, Y. (Eds ). Success in Higher Education. Springer. (2017) ISBN 978-981-10-2789-5


Pindza E, Patidar KC, Ngounda E Rational Spectral Collocation Method for Pricing American Vanilla and Butterfly Spread Options. Finite Difference Methods,Theory and Applications Lecture Notes in Computer Science (9045)(2015), 323-331


Lubuma J, Mureithi E and Terefe Y Nonstandard discretizations of the SIS epidemiological model with and without diffusion. In: A Gumel (editor), Mathematics of Discrete and Continuous Dynamical Systems, AMS Contemporary Mathematics book series. Volume in honour of Ronald E Mickens' 70th birthday, American Mathematical Society 2014, Vol 618, pp 113-132, ISBN: 978-0-8218-9862-8, 978-1-4704-1686-7

Conference Proceedings


De Jeu M Free vector lattices and free vector lattice algebras. The proceedings of Positivity X 2021.


Banasiak J How to be positive in natural sciences? Proceedings of Positivity X Conference, Pretoria, 18 to 12 July 2019, Birkhauser

JoosteAS A Note on Orthogonality and Mixed Recurrence Equations. Constructive Theory of Functions, Sozopol 2019 (B. Dragnev, K. Ivanov, G. Nikolov and R. Uluchev, Eds), pp.113-120. Prof. Marin Drinov Publishing House of BAS, Sofia, 2020.


Lê T, Magaard K, Paolini A On the character degrees of a Sylow p-subgroup of a finite Chevalley group G(p^f) over a bad prime London Mathematical Society Lecture Note Series (Book 455); Groups St Andrews 2017, 427-442


Anguelov R, Stoltz SM Modelling of activator-inhibitor dynamics via nonlocal integral operators, in R. Anguelov, M. Lachowicz (Editors), Mathematical Methods and Models in Biosciences, Biomath Forum, Sofia, (2018) 57-63

Anguelov R, Phiri AE Conspecific support in competitive systems as a pattern formation mechanism. Application of Mathematics in Technical and Natural Sciences, 10th International Conference (AMiTaNS’18). AIP Conf. Proc. 2025, 020002-1–020002-9;

Appadu AR.  Atmospheric flow modelling using some finite difference methods. Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM, 2017), (Thessaloniki, Greece). AIP Conference Proceedings 030023 (2018); doi: 10.1063/1.5043673

Appadu AR.  Comparison of some finite difference methods for the Black-Scholes equation. Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM, 2017), (Thessaloniki, Greece). AIP Conference Proceedings 470098 (2018); doi: 10.1063/1.5044168

Danbaba UA, Garba SM Analysis of model for the transmission dynamics of Zika with sterile insect technique, in R. Anguelov, M. Lachowicz (Editors), Mathematical Methods and Models in Biosciences, Biomath Forum, Sofia, (2018) 81-99

Yatat V, Dumont Y FKPP equation with impulses on unbounded domain, in R. Anguelov, M. Lachowicz (Editors), Mathematical Methods and Models in Biosciences, Biomath Forum, Sofia, (2018)


Appadu AR, Djoko JK and Gidey HH Comparative study of some numerical methods to solve a 3-D advection-diffusion equation. Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2016), (Rhodes, Greece) AIP Conference Proceedings, 1863, 030009 (2017), doi: 10.1063/1.4992162.

Appadu AR Some novel finite difference schemes for 1-D Korteweg-de-Vries Burger’s equation.  Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2016), (Rhodes, Greece) .  AIP Conference Proceedings, 1863, 030029 (2017), doi: 10.1063/1.4992182.


Aderogba AA, Chapwanya M, Jejeniwa OA Finite difference discretisation of a model for biological nerve conduction. Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2015), (Rhodes, Greece), American Institute of Physics - AIP-Conference Proceedings 1738, 030021 (2016); doi: 10.1063/1.4951777

Anguelov R, Markov S Hausdorff Continuous Interval Functions and Approximations M Nehmeier (Editor) Scientific Computing, Computer Arithmetic, and Validated Numerics 16th International Symposium, Würzburg, Germany, September 21–26, 2014 SCAN 2014, LNCS 9553, pp. 3–13, (2016) DOI: 10.1007/978-3-319-31769-4 1

Anguelov R and Mabula MD Asymmetric Metric: An Application to Dealing with Uncertainty. Editor, MD Todorov, Sofia. Application of Mathematics in Technical and Natural Sciences, 8th International Conference (AMiTaNS’16). AIP Conf. Proc. 1773, 050001-1–050001-7; doi: 10.1063/1.4964971

Appadu AR.  Analysis of the unconditionally positive finite difference scheme for advection-diffusion-reaction equations with different regimes. Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2015), (Rhodes, Greece) 1738, 030005 (2016); doi: 10.1063/1.4951761

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