Mathematical analysis of the global dynamics of a model for HIV infection of CD4 + T cells

Abstract

We analyze a mathematical model that describes HIV infection of CD4 + T cells. We are interested in the effect of a small addition of infection on an equilibrium state. Using Rene Descartes\' theory of solutions, we show that if the so called basic reproduction number R0 1, then the infection will lead to full blown AIDS. In either case Ro is important in the eventual growth of the disease. JONAMP Vol. 11 2007: pp. 103-110