Homotopy pertubation method for a seir model with varying total population size

Abstract

We consider a SEIR model with varying total population size. We find the analytical solution of the proposed model by homotopy pesturbation method which is one of the best method which is one of the best methods for finding the solution of the best methods for finding the solution of the nonlinear problem. By using this method, we solve the problem analytically and then compare the numerical result with other standar methods. We also justify the numerical simulation and their results. with other standar methods. We also justify the numerical simulation and their results. The comparison reveals that our approximate solutions are in very good agreement with those by numerical method. Moreover, the result show that the proposed method is a more reliable, efficinet and convenient one for solving the nonlinear differential equations.