Theoretical analysis on the transmission dynamics of HBV Disease with the effect of intervention of vaccination and treatment

Abstract

In this paper, we formulate a SVEIQR model for the Hepatitis B virus (HBV) using ordinary differential equations. The model is then tested for well posedness by finding the positivity, boundedness and existence of the solution. Then, an approximate analytical solution to the model is obtained by executing the Homotopy Perturbation Method (HPM) which is a coupling of homotopy and perturbation techniques. This solutionhelps us to study the model dynamically. The validity of the method is checked by using numerical simulation. These results show that HPM is highly reliable in solving such non-linear models. The results are applicable to the entire solution domain.