Semi analytical solution to an SIR model using new approach to Homotopy perturbation method

S. Narmatha; Vembu Ananthaswamy; Seenith Sivasundaram; M. Subha

S. Narmatha Lady Doak College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India
Vembu Ananthaswamy The Madura College, Madurai, Tamil Nadu, India.
Seenith Sivasundaram College of Science, Engineering and Mathematics, Daytona Beach, Florida 321114, USA
M. Subha Fatima College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India.

Abstract

A previously developed SIR model with three mutually exclusive compartments is solved using New approach to Homotopy perturbation method. The mathematical model is discussed for a situation without demography and a situation with demography separately. The numerical simulation of the problem is also presented. Comparison between the numerical simulation and the analytical solution gives a satisfactory agreement. The effect of various parameters on the susceptible, infected and recovered population is also discussed.