A Graph-Theoretic Method for theBasic Reproduction Number in Age-Structured Hepatitis B Model

Abstract

In this paper, we present an Age-Structured hepatitis B model. This
epidemic model is investigated for 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 virtually 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.