Abstract
In this paper, we propose and analyze a viral infection model with humoral immunity. The incidence rate is given by Hill type infection rate. We have derived two threshold parameters, R-0 and R-1 which completely determined the global properties of the model. By constructing suitable Lyapunov functions and applying LaSalle's invariance principle we have established the global asymptotic stability of all steady states of the model. We have proven that, if R-0 <= 1, then the infection-free steady state is globally asymptotically stable (GAS), if R-1 <= 1 < R-0, then the chronic-infection steady state without humoral immune response is GAS, and if R-1 > 1, then the chronic-infection steady state with humoral immune response is GAS.