A model for hepatitis B disease with age-dependent susceptibility

Abstract

In this paper, a SEI model for hepatitis B is constructed in a closed population where the susceptibility depends on the chronological age and the basic reproduction rate R0is derived. Under suitable (biological and mathematical) assumptions, it is shown that the disease free equilibrium is globally asymptotically stable (GAS) if R0< 1. In other hand R0> 1 induces that endemic equilibrium is GAS and the system is uniformly persistent.