Analytical Approximate Solution of Hepatitis B Epidemic Model Comparison with Vaccination

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