Journal of Applied Mathematics & Bioinformatics

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

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• Abstract

   

  In this work we developed a compartmental model of HIV/AIDS. The results of this study provide some insights on the impact of early treatment on disease transmission dynamics of HIV/AIDS. The stability of the disease-free equilibrium was investigated, condition for the stability of the disease-free equilibrium were determined. We also carried out sensitivity analysis to determine the relevant parameter control of the disease. Furthermore, qualitative analysis of the model was investigated using Runge Kutta scheme. From our above results, we found that treatment that commerce within 72hours of risky exposure is the best way to stop HIV proliferation.

   

  Keywords: HIV/AIDS, compartmental model.