Analytical Approximate Solution of Hepatitis B Epidemic Model Comparison withVaccination

In this research work, we find the analytical approximate solu-tion of an Hepatitis B epidemic model by using Homotopy PerturbationMethod (HPM). We obtaining from our solutions that Homotopy Perturba-tion Method (HPM) is a standout amongst the most valuable method, likejust a couple of perturbation terms are sufficient for getting a reasonableaccurate solution. The obtained results of Homotopy Perturbation Method(HPM) have been compare with Runge-Kutta fourth order method. Nu-merical justification of both methods are give