Application of Homotopy Perturbation Method to an SIR Mumps Model

Abstract

Mumps is one of the diseases that pose global threat to children well-being. In this paper, the problem of the spread of mumps in a closed population is investigated using a SIR compartmental model. Mathematical interpretation of the problem generates nonlinear first-order differential equations. The method of Homotopy Perturbation is adopted to derive the theoretical solutions of the system. Numerical simulations of the analytical results are carried out with the help of Maple 18 software and the solutions are presented in graphical form. The solutions show that Homotopy Perturbation Method (HPM) is an appropriate technique for solving epidemic models.