Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City-Cairo, Egypt. E-mail: zelsady@yahoo.fr
Some mathematical properties of nonlinear system associated with an HIV-Immune dynamic model will be given. The considered model will be solved numerically. The numerical method permits the examination of the behavior of the dynamic system on long-term. In the same time, it is easy to implement, fast convergent and has a very competitive stability results. Numerical results demonstrate the effect of improving the function of the thymus on the viral growth and T cell population.
Mathematical immunology, dynamic system, HIV, critical points, finite difference, convergence
