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Tel: +2712 420-2837 Research Interest: Mathematical modelling based on PDEs, their mathematical analysis, their numerical schemes, and their simulation in applications. |
Publications over the past five years:Journal Articles Chapwanya M, Kenyon E, On the mathematical modelling of transmission of Grapevine leaf roll-associated virus (GLRaV-3) by the vine mealybug Planococcus ficus. Journal of Biological Systems 31(1) (2023), 185-213 Chapwanya M, Dumani P, Stationary and oscillatory patterns in microbial population under environmental stress. Mathematics and Computers in Simulation 210 (2023), 370–383 Chapwanya M, Dumani P, Spatio-temporal dynamics of microbial population under nutrient-limiting conditions. Applied Mathematics and Computations, 456 (2023); 128138 Chapwanya M. and Dumani P. Existence of traveling waves in a spatial model of bacteria quiescence. Proceedings of the Royal Society A. 479(2278) (2023); 20230328, 23 pp. Chapwanya M, Lubuma JMS, Terefe YA, Tsanou B, Analysis of war and conflict effect on the transmission dynamics of the Tenth Ebola Outbreak in the Democratic Republic of Congo. Bulletin of Mathematical Biology, 84:136 (2022), 48 pp. Chapwanya M, Dumani P Environmental considerations on the spread of rabies among African wild dogs (Lycaon pictus) with control measures. Mathematical Methods in the Applied Sciences 45(8) (2022), 4124-4139 Banda H, Chapwanya M, Dumani P Pattern formation in the Holling-Tanner predator-prey model with prey-taxis. A nonstandard finite difference approach, Mathematics and Computers in Simulation 196 (2022) 336-353 M Chapwanya, A Matusse, Y Dumont On synergistic co-infection in crop diseases. The case of the Maize Lethal Necrosis Disease. Applied Mathematical Modelling, 90 (2021) 912-942 Chapwanya M, Lubuma JM-S, Lutermann H, Matusse A, Nyabadza F, Terefe YA Mathematical modeling and analysis of Cannabis epidemic in a South African province. Journal of Statistics & Management Systems 24(2021) 1627-1647 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 Chapwanya M, Dozva R, Muchatibaya G A nonstandard finite difference technique for singular Lane-Emden type equations. Engineering Computations 36(5)(2019) 1566-1578 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 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 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 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 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 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 Winstanley HF, Chapwanya M, Fowler AC, O'Brien SBG A 2D channel-clogging biofilm model. Journal of Mathematical Biology 71(2015), 647-668 Chapwanya M, Misra NN A mathematical model of meat cooking based on polymer-solvent analogy. Applied Mathematical Modelling 39(2015), 4033 - 4043 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 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 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 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 Chapwanya M, Lubuma JM-S, Mickens RE From enzyme kinetics to epidemiological models with Michaelis-Menton contact rate: Design of nonstandard finite difference schemes. Computers & Mathematics with Applications, 64(2012), 201-213 Book Chapters Chapwanya M, Dumont Y 2019, Application of Mathematical Epidemiology to crop vector-borne diseases. The cassava mosaic virus disease case. Chapter of Book. Springer series Mathematics for Earth: Infectious Diseases and our Planet. Conference Proceedings AA Aderogba M Chapwanya, OA Jejeniwa 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 Matusse A, Chapwanya M, Dumont Y. On synergistic co-infection in crop vector-borne diseases. BIOMATH 2021 - International Conference on Mathematical Methods and Models in Biosciences, Jun 2021, Pretoria, South Africa
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