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-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2013
  • Doi Number: 10.1155/2013/375094
  • Journal Name: JOURNAL OF APPLIED MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Süleyman Demirel University Affiliated: Yes

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.