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Journal articles 

2017

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

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

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

2016

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

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

2015

Banasiak J, N. Bellomo, A. Elaiw, A. M. Althiabi and M. A. Alghamdi. Multi-scale problems in complex domains -- a mathematical framework for systems biology. Comment on "On the Interplay between Mathematics and Biology Hallmarks Toward a New Systems Biology'', Physics of Life Reviews, 12, (2015), 65-67, doi:10.1016/j.plrev.2015.01.004

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.

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

Chapwanya M, Lubuma JM-S, Terefe YA Analysis and dynamically consistent nonstandard
discretization for a rabies model in humans and dogs, RACSAM doi: 10.1007/s13398-015-0266-y

Lubuma JM-S· Terefe YA. A nonstandard Volterra difference equation for the SIS epidemiological model, RACSAM109(2015), 597–602

Appadu AR, Lubuma JM-S, Mphephu.   Computational study of three numerical methods for linear and non-linear advection-diffusion-reaction equations.  To appear in Progress in Computational Fluid Dynamics

Appadu AR, Djoko JK, Gidey HH.  A computational study of some numerical methods for some advection-diffusion problems.  To appear in Applied Mathematics and Computation.

Kortenhoeven, C., Joubert, F., Bastos, A.D.S. & Abolnik, C. 2015. Virus genome dynamics under different propagation pressures: Reconstruction of whole genome haplotypes of West Nile viruses from NGS data. BMC Genomics 16, 118 doi: 10.1186/s12864-015-1340-8

Le Grange, A., Bastos, A.D.S., Brettschneider, H. & Chimimba, C.T. 2015. Evidence of a contact zone between two Rhabdomys dilectus (Rodentia: Muridae) mitotypes in Gauteng Province, South Africa. African Zoology 50(1), 63-68. doi:10.1080/15627020.2015.1021178

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

M. Chapwanya and N.N. Misra. A mathematical model of meat cooking based on polymer-solvent analogy. Applied Mathematical Modelling, 39(14):4033-4043, 2015

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

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

2014

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

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

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

Boshoff, C.I., Bastos, A.D.S., Dube, M.M. & Heath, L. 2014. First molecular assessment of the African swine fever virus status of Ornithodoros ticks from Swaziland. Onderstepoort Journal of Veterinary Research 81 (1), Art #846 doi: 10.4102/ojvr.v81i1.846

Van Hooft, P., Greyling, B.J., Getz, W., van Helden, P., Zwaan, B. & Bastos, A.D.S., 2014. Positive selection of deleterious alleles through interaction with a sex-ratio suppressor gene in African buffalo: A plausible new mechanism for a high frequency anomaly. PlosOne 9 (11), e111778

Kabuuka, T., Kasaija, P.D., Mulindwa, H., Shittu, A., Bastos, A.D.S. & Fasina, F.O. 2014. Drivers and risk factors for circulating African swine fever viruses in Uganda, 2012-2013. Research in Veterinary Science 97: 218-225. doi:10.1016/j.rvsc.2014.07.001

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

Cavegn, N, van Dijk, R.M., Menges, D., Brettschneider, H., Phalanndwa, M., Chimimba, C.T., isler, K., Hans-Peter,L. Slomianka, L, Amrein, I. (2014). Habitat-specific shaping of proliferation and neuronal differentiation in adult hippocampal neurogenesis in adult wild rodents. Frontiers in Neuroanatomy 7:34.

Slomianka, L, Drenth, T., Cavegn, N., Menges, D., Lazic, S.E., Phalanndwa, M., Chimimba, C.T., Amrein, I. (2014). The hippocampus of the eastern rock sengi: cytoarchtecture markers of neuronal function,              principal cell numbers and adult neurogenesis. Frontiers in Neuroscience 7:59.

Katandukila, J.V., Chimimba, C.T., Bennett, N.C., Makundi, R., Le Comber, S.C., Faulkes, C.G. (2014) Sweeping the house clean: burrow architecture and seasonal digging activity in the East African root rat, Tachyoryctes splendens from Tanzania Journal of Zoology, London 293:271-280.

Minnaar, I.A., Bennett, N.C., Chimimba, C.T., McKechnie, A.E. (2014) Summit metabolism and metabolic expansibility in Wahlberg’s epauletted fruit bats (Epomophorus wahlbergi): seasonal acclimatisation and effects of captivity. Journal of Experimental Biology 217:1363-1369.

Minnaar, I.A., Bennett, N.C., Chimimba, C.T., McKechnie, A.E. (2014) Partitioning of evaporative water loss into respiratory and cutaneous pathways in Wahlberg’s epauletted fruit bats (Epomophorus wahlbergi). Physiological and Biochemical Zoology 83:478-485.\

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

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, 101-122

Abdullahi Ahmed Yusuf, Robin. M. Crewe, & Christian W. W. Pirk (2014). Olfactory detection of prey by the termite raiding ant Pachycondylaanalis, Journal of Insect Science 14: 53 doi: 10.1093/jis/14.1.53

Yusuf A., I. Gordon, R. M. Crewe, & C. W. W. Pirk (2014). Prey choice and Raiding Behaviour of thePonerine ant Pachycondyla analis (Hymenoptera: Formicidae), Journal of Natural History, 48(5-6),345-358 DOI:10.1080/00222933.2013.791931

Winstanley HF, Chapwanya M, Fowler AC and O'Brien SBG A 2D channel-clogging biofilm model. In press: (http://dx.doi.org/10.1007/s00285-014-0833-4)

Lubuma JM-S, Yibeltal AT A nonstandard Volterra difference equation for the SIS epidemiological model. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, ISSN 1578-7303 (http:/dx.doi.org/10.1007/s13398-014-0203-5)

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 (http:/dx.doi.org/10.1016/j.camwa2014.04.021)

Anguelov R, Garba SM and Usaini S 2014. Backward Bifurcation Analysis of Epidemic Model with Partial Immunity. Computers and Mathematics with Applications. In Press (http:/dx.doi.org/10.1016/j.camwa.2014.06.010)

Hassan, AS; Garba, SM; Gumel, AB and J.M-S Lubuma, JM-S 2014, Dynamics of mycobacterium and bovine tuberculosis inhuman and African buffalo populations, Computational and Mathematical Methods inMedicine, Volume 2014, Article ID 912306, 20 pages (http:/dx.doi.org/10.1155.2014./912306)

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

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

2013

Anguelov R, Dumont Y, Lubuma JM-S, Mureithi EW  Stability analysis and dynamics preserving nonstandard finite difference schemes for a malaria model.  Mathematical Population Studies, 20(2013), 101-122

Chapwanya M, Lubuma JM-S, Mickens RE  Nonstandard finite difference schemes for Michaelis-Menten type reaction-diffusion equations.  Numerical Methods for Partial Differential Equations, 29(1)(2013), 337-360

Dufourd C, Dumont Y  Impact of environmental factors on mosquito dispersal in the prospect of sterile insect technique control.  Computers and Mathematics with Applications, 66(2013), 1695-1715

Dufourd C, Weldon V, Anguelov R, Dumont Y  Parameter identification in population models for insects using trap data, Biomath 2(2)(2013), Article ID 1312061, 10 pages

Garba SM, Safi MA, Gumel AB  Cross-immunity-induced backward bifurcation for a model of transmission dynamics of two strains of influenza.  Nonlinear Analysis-Real World Applications, 14(2013), 1384-1403

Garba SM, Safi MA  Mathematical analysis of West Nile virus model with discrete delays.  Acta Mathematica Scientia, 33B(5)(2013), 1439-1462

Anguelov R, Van der Walt JH Algebraic and topological structure of some spaces of set-valued maps.  Computers and Mathematics with Applications, 66(2013), 1643-1654

Dufourd C, Weldon V, Anguelov R, Dumont Y Parameter identification in population models for insects using trap data, Biomath 2(2013), Article ID 1312061, 10 pages

Appadu AR  Numerical solution of the 1-D advection-diffusion equation using standard and nonstandard finite difference schemes.  Journal of Applied Mathematics, (2013), Article ID 734374.

Appadu AR, Peer AAI  Optimized weighted essentially non-oscillatory third order schemes for hyperbolic conservation laws.  Journal of Applied Mathematics, (2013), Article ID 428681.

Appadu AR, Gidey HH  Time splitting procedures for the numerical solution of the 2D Advection-Diffusion Equation.  Mathematical Problems in Engineering, (2013), Article ID 634657.

Harrison, A., Bastos, A.D.S., Medger, K. & Bennett, N.C. 2013. Eastern rock sengis as reservoir hosts of Anaplasma bovis in South Africa. Ticks and Tick-Borne Diseases 4: 503-505.

Fasina, F.O., Olaokun, O.O., Oladipo, O.O., Fasina, M.M., Makinde, A.A., Heath, L. & Bastos, A.D.S. 2013. Phytochemical analysis and in vitro anti-African swine fever virus activity of extracts and fractions of Ancistrocladus uncinatus, Hutch and Dalziel (Ancistrocladaceae). BMC Veterinary Research 9:120. doi:10.1186/1746-6148-9-120                           

Penrith, M.-L., Vosloo, W., Jori, F. & Bastos, A.D.S. 2013. African swine fever virus eradication in Africa. Virus Research 173: 228-246. (Review paper)

Tchouassi, D.P., Sang, R., Sole, C.L., Bastos, A.D.S., Teal, P.E.A., Borgemeister, C. & Torto, B. 2013. Common host-derived chemicals increase catches of disease-transmitting mosquitoes and can improve early warning systems for Rift Valley fever virus. PLoS Neglected Tropical Diseases 7(1): e2007. doi:10.1371/journal.pntd.0002007

Van Sandwyk, J., Bennett, N.C., Swanepoel, R. & Bastos, A.D.S. 2013. Retrospective genetic characterisation of encephalomyocarditis viruses from African elephant and swine outbeaks reveals two distinct lineages in South Africa. Veterinary Microbiology 162: 23-31.

Katandukila, J., Harrison, A., Bennett, N.C., Bastos, A.D.S. 2013. Molecular investigation of three zoonotic bacterial genera AnaplasmaBartonella and Leptospira in East African root-rats (Tachyoryctes splendens: Spalacidae) from Tanzania. Proceedings of the 9th TAWIRI Conference, 4-6 December 2013.

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

Katandukila, J.V., Faulkes, C.G., Chimimba, C.T., Bennett, N.C. (2013) Reproduction in the East African root rat    (Tachyoryctes splendens; Rodentia: Spalacidae) from Tanzania: the importance of rainfall Journal of Zoology        (London) 291:258-268.

Katandukila, J.V., Bennett, N.C., Chimimba, C.T., Faulkes, C.G., Oosthuizen, M.K. (2013) Locomotor activity             patterns of captive East African root rats, Tachyoryctes splendens (Rodentia: Spalacidae). Journal of Mammalogy 94:1393-1400.

Zengeya, T.A., Robertson, M.P., Booth, A.J., Chimimba, C.T. (2013) A qualitative ecological risk assessment of the            invasive Nile tilapia, Oreochromis niloticus in a sub-tropical African river system (Limpopo River, South Africa).        Aquatic Conservation: Marine and Freshwater Ecosystems. 23:51-64.

Zengeya, T.A., Robertson, M.P., Booth, A.J., Bastos, A.D.S.Chimimba, C.T. (2013) A qualitative ecological risk assessment of the invasive Nile tilapia, Oreochromis niloticus in a sub-tropical African river system (Limpopo River, South Africa). Biological Invasions 15:1521.

Maputla, NW, Chimimba, CT & Ferreira, SM (2013). Calibrating a camera trap–based biased mark–recapture sampling design to survey the leopard population in the N’wanetsi concession, Kruger National Park, South        Africa. African Journal of Ecology 51:422-430.

Djoko Kamdem J  Discontinuous Galerkin finite element discretization for steady Stokes flows with threshold slip boundary condition.  Quaestiones Mathematicae, 36(2013), 1-16

Djoko Kamdem J, Mohamed M   Finite element analysis for Stokes and Navier-Stokes equations driven by threshold slip boundary conditions.  International Journal for Numerical Analysis and Modeling (IJNAM) Series B, 4(3)(2013), 235-255
Garba SM, Safi MA, Gumel AB  Cross-immunity-induced backward bifurcation for a model of transmission dynamics of two strains of influenza.  Nonlinear Analysis-Real World Applications, 14(2013), 1384-1403

Garba SM, Safi MA  Mathematical analysis of West Nile virus model with discrete delays.  Acta Mathematica Scientia, 33B(5)(2013), 1439-1462

Abdullahi A. Yusuf, Robin M. Crewe, & Christian W. W. Pirk (2013). An effective method for maintaining the African termite-raiding ant Pachycondyla analis in the laboratory. African Entomology, 21(2), 132-136.

ISI journal papers:

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

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

Chapwanya MLubuma 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

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

Anguelov R, Dumont Y, Lubuma JM-S, Mureithi EW  Stability analysis and dynamics preserving nonstandard finite difference schemes for a malaria model.  Mathematical Population Studies, 20(2013),

Chapwanya MLubuma JM-S, Mickens RE  Nonstandard finite difference schemes for Michaelis-Menten type reaction-diffusion equations.  Numerical Methods for Partial Differential Equations, 29(1)(2013),

Books / Chapters in Books

2017

Banasiak J, Falkiewicz A, Seuneu Tchamga MS, Applying systems analysis to complex global problems, Springer

Banasiak J, Mathematical Modelling in One Dimension ‐ An Introduction via Difference and Differential Equations, Cambridge University Press 2013 into Portuguese MODELAÇÃO MATEMÁTICA EM DIMENSÃO UM. UMA INTRODUÇÃO VIA EQUAÇÕES DIFERENCIAIS E ÀS DIFERENÇAS, Book Publication ‐ translation  

2014

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

2014

A.R.Appadu, J.K. Djoko and J.H.H. Gidey  A Computational Study of Some Numerical Schemes for a Test Case with Steep Boundary Layers.  To appear in Proceedings of the International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2014

A.R.Appadu, J.K. Djoko and J.H.H. Gidey  A Computational Study of Some Numerical Schemes for a Test Case with Steep Boundary Layers.  To appear in Proceedings of the International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2014

 

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