Application of Homotopy Perturbation Method to an SIR Epidemic Model

Abstract

ABSTRACT In this paper, an SIR (Susceptible, Infected and Recovered) epidemic model is consider to find the approximate/ exact solution by Perturbation method. We apply the Homotopy perturbation method to the model to find its approximate solution. The Homotopperturbation method gives a good results for non-linear problems of differential equations. First, we explain the method in detail and then we apply the HPM to our model. The analytical results are solve numerically and compare with other standard methods. The numerical results shows the that HPM have a good agreement with other standards. For illustrations of the theoretical results numerical results are presented in the form of Graphs