A General Model for Hepatitis B Disease with Age-Dependent Susceptibility and Transmission Probabilities

Abstract

A SEI model for hepatitis B is constructed where the susceptibility and other crucial transmission probabilities depend on the chronological age and the basic reproduction rate is derived. Under suitable (biological and mathematical) assumptions in a closed population, results of Houpa D. D. E. et al. [1] are extended from constant case of and to age-dependent case: the disease-free equilibrium is globally asymptotically stable (GAS) if . On the other hand, induces that endemic equilibrium is GAS and the system is uniformly persistent.