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

YAKIT ONGUN M. , Turhan I.

JOURNAL OF APPLIED MATHEMATICS, 2013 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2013
  • Doi Number: 10.1155/2013/375094
  • Title of Journal : JOURNAL OF APPLIED MATHEMATICS

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.