Nonlinear Dynamics and Stability Analysis of a Pandemic Model Using Homotopy Perturbation.

Abstract

In this paper, we gave the numerical solution of the various population categories of susceptible, exposed, infected, and recovered (SEIR) mathematical models by using homotopy perturbation method, which is a technique that combines the perturbation and homotopy methods to solve nonlinear problems. Also, we discuss the susceptible population category and explore the graphical solution of all populations (SEIR) using the parameters α and β for both fractional and integer order. In the end, the stability analysis is also shown in the population graphs.