Applied Mathematics & Information Sciences

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In this paper, a mathematical model for the transmission dynamics of HIV/AIDS epidemic with emphasis on the role of female sex workers is considered. The model is a system of nine nonlinear differential equations that represent nine different groups of an HIV population. A modified approach of the homotopy perturbation method is used to derive an approximate analytical expression for each of the nine different groups that form HIV population. The analytical results are shown to be consistent with the numerical results obtained by the highly accurate fourth-order Runge-Kutta method. The analytical solution will simplify studying the effect of each parameter on the governing equation and identifying the dynamics of HIV prevalence. Thus, effective prevention strategies can be adopted.

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