GLOBAL DYNAMICS FOR VIRAL INFECTION MODEL WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE AND AN ECLIPSE STAGE OF INFECTED CELLS

摘要

In this paper, we formulate a viral infection model with Beddington-DeAngelis functional response and an eclipse stage of infected cells. The model can describe the in vivo infection dynamics of many viruses such as HIV-I, HCV, and HBV, where the infected cells of eclipse stage can revert to the uninfected class. Under certain parameters range, we establish that the global stability of equilibria is completely determined by the basic reproduction number R_0, which give us a complete picture on their global dynamics.