Tel: +2712 4202478 Position: Professor and DST/NRF SARChI Chair in Mathematical Models and Methods in Biosciences and Bioengineering
Fields of interest: Functional analysis and semigroup theory with applications to models in natural and physical sciences, dynamical systems, asymptotic analysis and methods of small parameter, network dynamics. Research interests: Nonlocal, integrodifferential models in kinetic theory, mathematical biology and fragmentationcoagulation theory, asymptotic analysis of multiple scale problems, asymptotics of dynamical systems on networks, structured population dynamics. 

Publications over the past five yearsJournal Articles Banasiak J, Dumont Y, Yatat Djeumen IV Spreading speeds and traveling waves for monotone systems of impulsive reactiondiffusion equations: application to treegrass interactions in fireprone savannas. To appear in Differential Equations and Dynamical Systems Ouifki R, Banasiak J Epidemiological models with quadratic equation for endemic equilibria—A bifurcation atlas. Math Meth Appl Sci. 43(2020) 1041310429 Banasiak J Some remarks on the renormalization group and ChapmanEnskog type methods in singularly perturbed problems. Math Meth Appl Sci. 43(2020) 1036110380 Banasiak J Global solutions of continuous coagulation–fragmentation equations with unbounded coefficients. Discrete and Continuous Dynamical Systems Series S 13(12)(2020) 33193334 Anguelov R, Banasiak J, Bright C, Lubuma JMS, Ouifki R The big unknown: The asymptomatic spread of COVID19. Biomath 9(2020) 2005103 Banasiak J, Lamb W Growth–fragmentation–coagulation equations with unbounded coagulation kernels. Phil. Trans. R. Soc. A 378(2020) 20190612:122 Oufiki R, Banasiak J Epidemiological models with quadratic equation for endemic equilibria  a bifurcation atlas. To appear in Mathematical Methods in the Applied Sciences Banasiak J, Logarithmic norms and regular perturbations of differential equations. Annales Universitatis Mariae CurieSklodowska, sectio A LXXIII(2)(2019) 519 Banasiak J A note on the Tikhonov theorem on an infinite interval. To appear in Vietnam Journal of Mathematics Banasiak J Some remarks on the renormalization group and ChapmanEnskog type methods in singularly perturbed problems. To appear in Mathematical Methods in the Applied Sciences 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 Ngwa GA, TebohEwungkem MI, Dumont Y, Ouifki R, Banasiak J On a threestage structured model for the dynamics of malaria transmission with human treatment, adult vector demographics and one aquatic stage. Journal of Theoretical Biology 481(2019) 202222 Banasiak J, Joel L, Shindin S The discrete unbounded coagulationfragmentation equation with growth, decay and sedimentation. Kinetic and Related Models 12(5)(2019) 10691092 Banasiak J, Joel LO, Shindin S Discrete growthdecayfragmentation equation  wellposedness and long term dynamics. Journal of Evolution Equations 19(2019) 771802 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, Seuneu Tchamga MS, SzymańskaDȩbowska K Canard solutions in equations with backward bifurcations of the quasisteady state manifold. Journal of Mathematical Analysis and Applications 471(2019) 776795 Banasiak J, Joel LO, Shindin S Analysis and simulations of the discrete fragmentation equation with decay. Math Meth Appl Sci. 41(2018) 65306545 Banasiak J, Puchalska A Generalized network transport and EulerHille formula. Discrete and Continuous Dynamical SystemsB 23(5)(2018) 18731893 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) 85102 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) 1828 Banasiak J, Seuneu Tchamga MS Delayed stability switches in singularly perturbed predatorprey 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), 1730 Banasiak J Kinetic models for crowd dynamics Comment on “Human behaviours in evacuation crowd dynamics: From modelling to “big data” toward crisis management” by N.Bellomo et al. Physics of Life Reviews 18(2016) 2224 Banasiak J Explicit formulae for limit periodic flows on networks. Linear Algebra and Applications, 500(2016), 3042 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), 4041 Asymptotic state lumping in transport and diffusion problems on networks, Mathematical Models and Methods in Applied Sciences, 26, No. 2 (2016) 215247 (jointly with A. Falkiewicz and P. Namayanja), Semigroup approach to diffusion and transport problems on networks, Semigroup Forum, (jointly with A. Falkiewicz and P. Namayanja), DOI 10.1007/s0023301597304, available online. Some transport and diffusion processes on networks and their graph realizability, Applied Mathematics Letters, 45, (2015), 2530, doi:10.1016/j.aml.2015.01.006 (jointly with A. Falkiewicz). Singularly perturbed systems with nonisolated limit manifolds and applications, in A. Bartłomiejczyk (Ed.) Metody Matematyczne w Zastosowaniach, Monograph of the Centre of Applications of Mathematics, vol. 3, (2015) 120, (in Polish). Multiscale 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'' by N. Bellomo, A. Elaiw, A. M. Althiabi and M. A. Alghamdi, Physics of Life Reviews, 12, (2015), 6567, doi:10.1016/j.plrev.2015.01.004. Canardtype solutions in epidemiological models, Dynamical Systems, Differential Equations and Applications, AIMS Proceedings, 2015 8593, doi:10.3934/proc.2015.0085 (jointly with E. Kimba Phongi). Solvability of Age Structured Epidemiological Models with Intracohort Transmission, Mediterranean Journal of Mathematics, 12, 1307–1321, (with R. Y. M’pika Massoukou), DOI 10.1007/s0000901505569, A semigroup related to a convex combination of boundary conditions obtained as a result of averaging other semigroups, Journal of Evolution Equations, 15 (1), 223237 (with A. Bobrowski). Kinetic Models in Natural Sciences, in: J. Banasiak and M. MokhtarKharroubi (eds.), Evolutionary Equations with Applications in Natural Sciences, Lecture Notes in Mathematics, Vol. 2126, Springer, Heidelberg, 2015, 133198. Singularly perturbed population models with reducible migration matrix 1. SovaKurtz theorem and the convergence to the aggregated model. Discrete Contin. Dyn. SystB. 35 (2015), no. 2, 617–635 (with A. Goswami). A singularly perturbed ages structured SIRS model with fast recovery, Discrete Cont. Dyn. Syst. –B, 19 (8), 2014, 23832399, (with R. Y. M’pika Massoukou). Asymptotic behaviour of flows on reducible networks, Netw. Heterog. Media 9 (2014), no. 2, 197–216 (with P. Namayanja) Pseudospectral Laguerre approximation of transportfragmentation equations. Appl. Math. Comput. 239 (2014), 107–125 (with N.Parumasur, W. Poka, S.Shindin) On the existence of moments of solutions to fragmentation equations, Journal of Mathematical Analysis and Applications, 413(2), (2014), 10171029, (with W. Lamb) Singularly Perturbed Population Models with Reducible Migration Matrix: 2. Asymptotic Analysis and Numerical Simulations, Mediterranean Journal of Mathematics, 11(2) (2014), 533–559, (with A. Goswami, S. Shindin). On a macroscopic limit of a kinetic model of alignment, Mathematical Models and Methods in Applied Sciences, 23(14), (2013), 2647–2670 (with M. Lachowicz). A singularly perturbed SIS model with age structure, Mathematical Biosciences and Engineering, 10(3), (2013), 499521, (with E. Kimba Phongi and M. Lachowicz) Strong fragmentation and coagulation with powerlaw rates, Journal of Engineering Mathematics, 82, (2013), 199215 (with W. Lamb and M. Langer) Books Banasiak J (with Lamb W, Laurencot P) Analytic Methods for CoagulationFragmentation 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. 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 Invited and Plenary Lectures Methods of small parameter in natural sciences (plenary), 8th Pan African Congress of Mathematics, Abuja, 30 June 8 July 2013 Kinetic type models in applied sciences, CIMPAUNESCO SCHOOL ‘EVOLUTIONARY EQUATIONS WITH APPLICATIONS IN NATURAL SCIENCES’, Muizenberg, South Africa, from 22^{nd} July to 2^{nd} August 2013 Singularly perturbed equations in agestructured epidemiology, Mathematics, Mechanics and Modeling, a tribute to Zbigniew Peradzynski, joint with 13th Conference Mathematics in Technical and Natural Sciences, Bedlewo, Poland, 22.09.2013  27.09.2013 Asymptotic properties of transport and diffusion semigroups on networks, International Conference on Operator Theory ICOT2014, 28 April  01 May, 2014, Hammamet, Tunisia Problems on networks and their generalizations – wellposedness, identification and singular limits, 17th ISEM Workshop, Blauberen, Germany, 2228.06.2014 Osobliwie zaburzone układy równań z nieizolowanymi rozmaitościami granicznymi i ich zastosowania, 2ga Konferencja ,,Między teorią a zastosowaniami – matematyka w działaniu’’, Będlewo, 2530.08.2014 Dynamical systems on networks: wellposedness, graph realizability and asymptotic state lumping, Part I Diffusion processes, SchoolWorkshop, Evolution equations: theory and applications, Besançon, 23rd27th March 2015 Singularly perturbed systems with nonisolated limit manifolds and applications in mathematical biology, SANUM Conference, Pretoria, 30 March1 April 2015 Analyticity of fragmentation semigroups with applications, Special Session on Cluster Evolution Equations: Coagulation, Fragmentation, and Related Systems, AMS/EMS/SMP International Meeting, Porto, Portugal, 1013 June 2015 Some discrete models in population dynamics and ecology, 20^{th} International Conference on Difference Equations and Applications, Białystok, Poland, 1925 July 2015 Mathematical Models in Population Dynamics, CIMPA School: Mathematical modeling and analysis of complex systems, Naivasha, Kenya, 2031 July 2015. Classical solutions of coagulationfragmentation equations, Kinetic Theory and Multiscale Phenomena: Modelling, Analysis, Computation and New Applications, Stellenbosch, 2225.01.2016 Banasiak J How to be positive in natural sciences? Proceedings of Positivity X Conference, Pretoria, 18 to 12 July 2019, Birkhauser

Copyright © University of Pretoria 2021. All rights reserved.
Get Social With Us
Download the UP Mobile App