Stability analysis and simulation of an anti-HBV therapy mathematical model with time-delay immune response

Mathematical models have been used to understand the factors that govern infectious disease progression in viral infections. Many HBV models were based on the basic virus infection model with bilinear mass action incidence of virus and the uninfected target cells introduced by Zeuzem et al. and Nowak et al. But Lequan Min et al. have set up another basic virus infection model with a standard incidence function. In this paper, base on the standard mass action incidence, an adefovir anti-HBV therapy model with time-delay immune response were set up. The globally asymptotically stable analysis of the infection-free equilibrium were given in the paper, for the endemic equilibrium, simulation shows there exist a stable switch. The simulation based on the clinical adefovir therapy data were also given.