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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.

Muhammad Naeem Jan, Tahir Khan, Gul Zaman. (2019) Analytical Approximate Solution of Hepatitis B Epidemic Model Comparison with Vaccination, Punjab University Journal of Mathematics, Volume 51, Issue 12.
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