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.
Description
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)