A numerical comparison for a discrete HIV infection of CD4\(^{+}\) T-cell model derived from nonstandard numerical scheme (Q2375527)

Summary: 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, preserves the same local asymptotic stability properties. Linearized stability theory and Schur-Cohn criteria are used fo the local asymptotic stability of this discrete time model. The 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.