Dynamic analysis on the epidemic model of infectious diseases using a powerful computational method

Abstract

In this research, a convenient and effective semi-analytical technique namely the Differential Transformation Method (DTM) is employed to investigate the nonlinear epidemic model. The design of the mathematical model is explained according to five classifications of susceptible, exposed, infective, asymptomatic and recovered people. The corresponding solution points are validated against numerical outcomes. The results reveal a high degree of accuracy for DTM combination with Padé approximation. Moreover, this technique is a promising method to solve various nonlinear equations applicable for epidemic models. The results indicate that by increasing [Formula: see text] parameter, the values of infected individuals are enhanced. Also, it can be concluded that increasing in [Formula: see text] parameter leads to increase of recovered profile.