Control strategy of HIV/AIDS model with different stages of infection of subpopulation

Abstract

We formulated mathematical model of HIV/AIDS with two different stages of infection subpopulation with Antiretroviral (ARV) treatment as control strategy. We applied optimal control theory to minimize HIV-infected subpopulation using the Pontryagins-Minimum Principle. Numerical solution was conducted by solving the optimally system using the sweep backward and forward method. The results showed that by giving ARV in the model could decrease the infected subpopulation significantly.