Stochastic optimal control analysis for the hepatitis B epidemic model

Abstract

Mathematical formulation of a stochastic hepatitis B virus (HBV) model with the application of optimal control and randomly noise transmission has been focused in this paper. For the ease of understanding, the model is divided into four different classes of healthy or susceptible, acute infected, chronically infected and the class of the recovered population. All four cases have been perturbed by the white noise. By applying optimal control techniques, we investigated both deterministic and stochastic model for control. The approximate solution method of the deterministic model has been used in the numerical solution of the required stochastic model. The simulation of both models has been drawn against the given data and compared with each other.