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 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası:
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1155/2013/375094
  • Dergi Adı: JOURNAL OF APPLIED MATHEMATICS

Özet

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.