Homotopy Perturbation Method For A Seir Model With Varying Total Population Size

Abstract

We consider a SElR model with varying total population size. We find the analytical solution of the proposed model by homotopy perturbation method which is one of the best 1nethods for finding the solution of the nonlinear problem. By using this 1ncthod, we solve the problem analytically and then compare the nu1nerical result with other standard 1nethods. 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 1nethod. Moreover, the results show that the proposed method is a 1norc reliable, efficient and convenient one for solving the nonlinear differential equations.