ISSN 2756-3375
African Journal of Immunology Research ISSN 9431-5833 Vol. 4 (4), pp. 228-233, April, 2017. © International Scholars Journals
Full Length Research Paper
Solution to an HIV- immune dynamic system
Zeinab A. Elsady
Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City- Cairo, Egypt. E-mail: [email protected].
Accepted 09 July, 2016
Abstract
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.
Key words: Mathematical immunology, dynamic system, HIV, critical points, finite difference, convergence.
2000 Mathematical Subject Classifications: 92B05, 70K75, 65L12, 65L20.