THE MULTISTAGE HOMOTOPY PERTURBATION METHOD FOR SOLVING NONLINEAR SIRS EPIDEMIC SPREADING EQUATIONS

One of the biophysical theories that allow us to understand and predict the outcomes of epidemics and disease dynamics is SIRS model. In this work, a semi-analytical approach applied for SIRS epidemic spreading model. The set of nonlinear time evolution equations of SIRS model is solved by Homotopy Perturbation Method (HPM), then a hybrid numeric-analytic method based on HPM is used, which is called Multistage Homotopy Perturbation Method (MHMP). The MHMP results are in complete agreement with fourth-order Runge-Kutta.