Numerical computation and series solution for mathematical model of HIV/AIDS

摘要

In this paper, a mathematical model of HIV/AIDS model was examined and of particular interest is the stability of equilibrium solutions. The characteristic equation which gives the Eigen values was examined. By series solution method the behaviour of the viruses and CD4+Tcells was looked into. It was shown that if the recovery rate is high enough, the healthy CD4+Tcell may never die out completely. Hence the patient that test HIV positive, may never develop into full-blown AIDS.