A Numerical Comparison for a Discrete HIV Infection of CD4+ T‐Cell Model Derived from Nonstandard Numerical Scheme

Mevlüde Yakıt Ongun and İlkem Turhan

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: A nonstandard numerical scheme has been constructed and analyzed for a mathematical model that describes HIV infection of CD4+ T cells. This new discrete system has the same stability properties as the continuous model and, particularly, it preserves the same local asymptotic stability properties. Linearized Stability Theory and Schur‐Cohn criteria are used for local asymptotic stability of this discrete time model. This proposed nonstandard numerical scheme is compared with the classical explicit Euler and fourth order Runge‐Kutta methods. To show the efficiency of this numerical scheme, the simulated results are given in tables and figures.

Date: 2013
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https://doi.org/10.1155/2013/375094

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:375094

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