Journal of Applied Mathematics
Volume 2013 (2013), Article ID 375094, 9 pages
http://dx.doi.org/10.1155/2013/375094
Research Article

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

Mevlüde Yakıt Ongun1 and İlkem Turhan2

1Department of Mathematics, Suleyman Demirel University, 32260 Isparta, Turkey
2Department of Mathematics, Dumlupınar University, 43100 Kütahya, Turkey

Received 8 August 2012; Revised 31 October 2012; Accepted 14 November 2012

Academic Editor: Juan Torregrosa

Copyright © 2013 Mevlüde Yakıt Ongun and İlkem Turhan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.