Numerical Technique for Solving Non-Linear Deterministic Hepatitis B Model

Abstract

Epidemic models classify the process of infectious disease into a series of discrete stages, with transition from susceptible to different states. In this paper, a non-linear epidemic model is proposed to control and understand the dynamics of hepatitis B disease. Epidemic model describes a set of equations where computational tools are used to study the spread of transmissible pathogens in host populations. This model considers the effect of vaccination during the formulation of proposed model. In the work, the numerical solution of the model is further attained through Homotopy Analysis Method, which provides an effective and flexible way for controlling and adjusting the convergence region of the infinite series solution by means of an auxiliary parameter. The outcomes of this paper display that the hepatitis B disease has the inclination over a period of time but it is under control after vaccination.