An unconditionally stable nonstandard finite difference method applied to a mathematical model of HIV infection

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Date

2013

Journal Title

Journal ISSN

Volume Title

Publisher

De Gruyter Open

Abstract

We formulate and analyze an unconditionally stable nonstandard finite difference method for a mathematical model of HIV transmission dynamics. The dynamics of this model are studied using the qualitative theory of dynamical systems. These qualitative features of the continuous model are preserved by the numerical method that we propose in this paper. This method also preserves the positivity of the solution, which is one of the essential requirements when modeling epidemic diseases. Robust numerical results confirming theoretical investigations are provided. Comparisons are also made with the other conventional approaches that are routinely used for such problems.

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Keywords

HIV infection, Stability, Nonstandard finite difference methods, Mathematics

Citation

Hasim, O. et al. (2013). An unconditionally stable nonstandard finite difference method applied to a mathematical model of HIV infection. Int Jnl of Appl Maths. Comp Sc, 23(2)