Mathematical Model of the Impact of Retroviral Drugs at the early stage of Infections in control program of HIV/AIDS

摘要

In this work we developed a compartmental model of HIV/AIDS. The results of thisstudy provide some insights on the impact of early treatment on diseasetransmission dynamics of HIV/AIDS. The stability of the disease-free equilibriumwas investigated, condition for the stability of the disease-free equilibrium weredetermined. We also carried out sensitivity analysis to determine the relevantparameter control of the disease. Furthermore, qualitative analysis of the model wasinvestigated using Runge Kutta scheme. From our above results, we found thattreatment that commerce within 72hours of risky exposure is the best way to stopHIV proliferation.