Global dynamics of an HBV model with spatial diffusion and antibody response

Abstract

In this paper, we investigate the dynamic of a delayed HBV model with spatial diffusion and antibody response. By analyzing the corresponding characteristic equations, the local stability of an infected steady state and an uninfected steady state is discussed. Moreover, by constructing two Lyapunov functionals, it is proved that the global dynamics for the two steady states of the model is completely determined by the basic reproductive number.