Abstract
The transmission dynamics mathematical model of infectious disease is a significant disease controlling technique, which is being used on the occurrence of hepatitis B to value the varying immunization strategies. In this paper, we analyze the transmission dynamics models through mathematical model using Homotopy perturbation method (HPM) which defines how to control the impact of Hepatitis B virus (HBV). To get the solution for nonlinear ordinary differential equations, Homotopy Perturbation Method (HPM) has been used. We have discussed the numerical simulations up to six order approximation and residual error analysis with the help of Matlab software in this paper.
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