Modeling and sensitivity analysis of HBV epidemic model with convex incidence rate

Abstract

Abstract In this article, we study the qualitative analysis of the Hepatitis B epidemic model with convex incidence rate. First, we formulate the model without control and study local and global stability. We show the global stability of disease-free equilibrium using the method of Castillo-Chavez while for disease-endemic, we use the method of geometrical approach. Furthermore, we develop the proposed model with suitable optimal control strategies. We aim to minimize the infection of Hepatitis B in the host population. In order to do this, we use three control variables. Moreover, sensitivity analysis complemented by simulations is performed to assess how parameters changes affect the dynamical behavior of the system. The numerical simulations are performed to show the feasibility of the control strategy and the effectiveness of the theoretical results.