Dynamical analysis and perturbation solution of an SEIR epidemic model

Abstract

In this paper we present a kind of technique to obtain the asymptotical solution of an SEIR (where S is the susceptible population, E is the exposed population, I is the infectious population and R is the recovered population) epidemic model by employing the method of perturbation. At first, we investigate the epidemic model by analysing its dynamical behavior. Then, we use the method of perturbation to obtain the analytical solution of the model. We assign values for parameters and draw figures to observe the magnitude of error of the perturbation method in a macro view. Finally, we analyse macroscopically the two comparison chart on analytical solution and the exact solution, and know that it is feasible to analyse the solution of the epidemic model by using the perturbation method.