A mathematical model for hepatitis b with infection-age structure

Abstract

A model with age of infection is formulated to study the possible effects of variable infectivity on HBV transmission dynamics. The stability of equilibria and persistence of the model are analyzed. The results show that if the basic reproductive number R0 < 1, then the disease-free equilibrium is globally asymptotically stable. For R0 > 1, the disease is uniformly persistent, and a Lyapunov function is used to show that the unique endemic equilibrium is globally stable in a special case.