Semi analytic method for solving infectious disease model

Abstract

In this paper, we present a deterministic model that captures the essential dynamics of infectious diseases. Differential Transform Method (DTM) is applied to attempt the series solution of the model. The efficiency of the DTM in solving the model is confirmed by classical fourth-order Runge-Kutta method implemented in Maple 18. The comparisons between the DTM and Runge-Kutta (RK4) solutions were made and there exists positive correlation between the results obtained by the two methods. The outcome of comparison between the DTM and RK4 validates the potential of the DTM in coping with the analysis of modern epidemics.