Analysis of a HBV infection model with non-cytolytic cure process

Mathematical models have been used to understand the factors that govern infectious disease progression in viral infections. Many models ignore the loss term of free virus particle when it enters the target cell. In this paper, we discuss a virus infection model with the loss term of free virus and the non-cytolytic loss of infected cells. Stable analysis of our model was given. If the basic reproduction number R₀ <; 1, the infection-free equilibrium is globally asymptotically stable and the virus is cleared; if the basic reproduction number R₀ >; 1, then the virus would persist in the host.