Browsing Research Articles (Mathematics and Applied Mathematics) by Author "Mickens, Ronald E."

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From enzyme kinetics to epidermiological models with Michealis-Menten contact rate : design of nonstandard finite difference schemes

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 ...
Nonstandard finite difference schemes for Michaelis-Menten type reaction-diffusion equations

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’ ...
Positivity-preserving nonstandard finite difference schemes for cross-diffusion equations in biosciences

Chapwanya, Michael; Lubuma, Jean M.-S.; Mickens, Ronald E. (Elsevier, 2014-11)

We design nonstandard finite difference (NSFD) schemes which are unconditionally dynamically consistent with respect to the positivity property of solutions of cross-diffusion equations in biosciences. This settles a ...

Now showing items 1-3 of 3

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