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

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  • Mevlüde Yakıt Ongun
  • İlkem Turhan

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.

Suggested Citation

  • Mevlüde Yakıt Ongun & İlkem Turhan, 2013. "A Numerical Comparison for a Discrete HIV Infection of CD4 + T-Cell Model Derived from Nonstandard Numerical Scheme," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-9, February.
    • Handle: RePEc:hin:jnljam:375094
    DOI: 10.1155/2013/375094
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