TY - JOUR A2 - Torregrosa, Juan AU - Yakıt Ongun, Mevlüde AU - Turhan, İlkem PY - 2013 DA - 2013/02/26 TI - A Numerical Comparison for a Discrete HIV Infection of CD4+ T-Cell Model Derived from Nonstandard Numerical Scheme SP - 375094 VL - 2013 AB - 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. SN - 1110-757X UR - https://doi.org/10.1155/2013/375094 DO - 10.1155/2013/375094 JF - Journal of Applied Mathematics PB - Hindawi Publishing Corporation KW - ER -