Mathematical Simulation of HIV/AIDS Transmission Dynamics Incorporating Drugs Resistant compartment

Abstract

HIV/AIDS has continued to pose threat to human race globally ensuing death of millions every year all over the world despite countless research works and availability of anti-retroviral drugs as means of combating the virus. This research formulated a mathematical model to study the spread dynamics of HIV/AIDS in the presence of Highly Effective Antiretoviral Treatment (HART) incorporating HART resistance compartment. The basic reproduction number was obtained using the next generation matrix method. The analytical solution of the model was obtained using homotopy perturbation method and the simulations were carried out using MAPLE 18 software. The result shows that drug resistance have significant effect on the AIDS compartment while treatment and condom usage have effect on the total infected populations.