VARIATIONAL ITERATION METHOD FOR SOLVING NONLINEAR HIV/AIDS MODEL

Abstract

 Semi-analytical tools present an alternative means of solving system of nonlinear differential equations that ordinarily do not have an exact solution.Thus, in this study, Variational Iteration Method (VIM) which is one of the semi-analytical method was used to solve the system of nonlinear ordinary differential eqautions arising from the Mathematical model of HIV/AIDS with consideration of effect of immigrants into a hyper-mixed population. Positivity of solution, equilibria states and reproduction number of the model were all calculated. Series solution of the transformed model was obtained and graphs were plotted. The graphs were compared with the result obtained when using Runge-Kutta order 4 and a reliably accurate result was obtained