Browsing Research Articles (Mathematics and Applied Mathematics) by Author "Chapwanya, Michael"
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Browsing Research Articles (Mathematics and Applied Mathematics) by Author "Chapwanya, Michael"
Now showing items 1-20 of 28
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Winstanley, H.F.; Chapwanya, Michael; Fowler, Andrew Cadle, 1953-; O’Brien, S.B.G. (Springer, 2015-09)We present a model of biofilm growth in a long channel where the biomass is assumed to have the rheology of a viscous polymer solution. We examine the competition between growth and erosion-like surface detachment due ...
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Analysis and dynamically consistent nonstandard discretization for a rabies model in humans and dogs Chapwanya, Michael; Lubuma, Jean M.-S.; Terefe, Yibeltal Adane (Springer, 2016-09)Rabies is a fatal disease in dogs as well as in humans. A possible model to represent rabies transmission dynamics in human and dog populations is presented. The next generation matrix operator is used to determine the ...
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Aderogba, Adebayo Abiodun; Chapwanya, Michael; Djoko, J.K. (Jules Kamdem); Lubuma, Jean M.-S. (Taylor and Francis, 2016)The Schrödinger equation is a model for many physical processes in quantum physics. It is a singularly perturbed differential equation where the presence of the small reduced Planck’s constant makes the classical numerical ...
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Chapwanya, Michael; Dumani, Phindile (Wiley, 2022-05)Wildlife conservation is crucial in preventing endangered species from becoming extinct, and disease outbreaks is one of the biggest threats. Rabies is one of the devastating viruses that can almost be impossible to control ...
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Chapwanya, Michael; Dumani, Phindile (Royal Society, 2023-10)This work presents a reaction–diffusion model that captures the spatio-temporal evolution of a bacterial colony and takes into account the quiescent stage. Using the theory of monotone wavefronts for cooperative and partially ...
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Aderogba, Adebayo Abiodun; Chapwanya, Michael (Taylor and Francis, 2015-07)We design explicit nonstandard finite difference schemes for the nonlinear Allen-Cahn reaction diffusion equation in the limit of very small interaction length ". In the proposed scheme, the perturbation parameter is ...
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Chapwanya, Michael; Jejeniwa, O.A.; Appadu, A. Rao; Lubuma, Jean M.-S. (Taylor and Francis, 2019-10)In this work, we consider numerical solutions of the FitzHugh–Nagumo system of equations describing the propagation of electrical signals in nerve axons. The system consists of two coupled equations: a nonlinear partial ...
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Chapwanya, Michael; Lubuma, Jean M.-S.; Mickens, Ronald E. (Elsevier, 2012-08)We consider the basic SIR epidemiological model with the Michaelis-Menten formulation of the contact rate. From the study of the Michaelis-Menten basic enzymatic reaction, we design two types of Nonstandard Finite Difference ...
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Fowler, Andrew Cadle, 1953-; Chapwanya, Michael (The Royal Society, 2014-11)We present a theory for the coupled ow of ice, subglacial water, and sub- glacial sediment, which is designed to represent the processes which occur at the bed of an ice sheet. The ice is assumed to ow as a Newtonian ...
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Tsanou, Berge; Chapwanya, Michael; Lubuma, Jean M.-S.; Terefe, Yibeltal Adane (World Scientific Publishing, 2018-03)A mathematical model presented in Berge T, Lubuma JM-S, Moremedi GM, Morris N Shava RK, A simple mathematical model for Ebola in Africa, J Biol Dyn 11(1): 42–74 (2016) for the transmission dynamics of Ebola virus is extended ...
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Chapwanya, Michael; Lubuma, Jean M.-S.; Lutermann, Heike; Matusse, A.; Nyabadza, F.; Terefe, Y. (Taylor and Francis, 2021)A deterministic mathematical model for the dynamics of cannabis use in a South Africa metropolis of Durban is proposed and analysed. To the analysis the model, the important threshold parameter ℛ0 (the basic reproduction ...
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Chapwanya, Michael; Misra, N.N. (Elsevier, 2015-07)Mathematical modelling of transport phenomena in food processes is vital to understand the process dynamics. In this work, we study the process of double sided cooking of meat by developing a mathematical model for the ...
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Anguelov, Roumen; Berge, Tsanou; Chapwanya, Michael; Djoko, J.K. (Jules Kamdem); Kama, P.; Lubuma, Jean M.-S.; Terefe, Y. (Taylor and Francis, 2020)We provide effective and practical guidelines on the choice of the complex denominator function of the discrete derivative as well as on the choice of the nonlocal approximation of nonlinear terms in the construction of ...
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Chapwanya, Michael; Lubuma, Jean M.-S.; Mickens, Ronald E. (Wiley, 2013-01)We compare and investigate the performance of the exact scheme of the Michaelis-Menten (M-M) ordinary differential equation with several new non-standard finite difference (NSFD) schemes that we construct by using Mickens’ ...
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Chapwanya, Michael; Clark, Chris D.; Fowler, Andrew Cadle, 1953- (Wiley-Blackwell, 2011-06)We develop numerical solutions of a theoretical model which has been proposed to explain the formation of subglacial bedforms. The model has been shown to have the capability of producing bedforms in two dimensions, when ...
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Chapwanya, Michael; Stockie, John M. (American Geophysical Union, 2010)This is a computational study of gravity-driven fingering instabilities in unsaturated porous media. The governing equations and corresponding numerical scheme are based on the work of Nieber et al. (2003) in which ...
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Aderogba, Adebayo Abiodun; Chapwanya, Michael; Djoko, J.K. (Jules Kamdem) (Emerald, 2014)PURPOSE – For a partial differential equation with a fourth-order derivative such as the Cahn-Hilliard equation, it is always a challenge to design numerical schemes that can handle the restrictive time step introduced ...
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Chapwanya, Michael; Dumont, Yves (Elsevier, 2018-05)Diseases, in particular, vector-borne diseases are very important issues in crop protection. However, despite their impact on food safety, very few mathematical models have been developed in order to improve control ...
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Chapwanya, Michael; Kenyon, Erin (World Scientific Publishing, 2023-03)Grapevine leafroll disease (GLD) is the most common and economically destructive grapevine viral disease in South African vineyards and throughout the world. There are many GLD-associated virus variants with Grapevine ...
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Chapwanya, Michael; Matusse, A.; Dumont, Yves (Elsevier, 2021-02)Crops are often subject to intense attacks by pests and diseases. Among them, Maize Lethal Necrosis (MLN) is a serious disease that impact maize crops in many Southern countries. It results from the synergistic interaction ...
Now showing items 1-20 of 28