A Graph-Theoretic Method for the Basic Reproduction Number in Age-Structured HBV Model

Abstract

In this paper, we present an Age-Structured hepatitis B model.  This epidemic model investigates different classes of infectious diseases that can be transmitted through an effective contact with infective individuals, who are contagious. The Graph-Theoretic Method for the Basic Reproduction Number was obtained. In addition, the numerical simulation is used to verify the model predictions. The result suggest that the endemic nature of the model is approaching equilibrium with increase immunization program and other control measures put in place.