| Dynamics of infectious diseases is an important method to study the spread of infectious disease. Using the theory and method of di?erential equation to study whether some kind of infectious in one region become “endemic” or ?nally extinction is an important topic to research to biological mathematics’ s workers.In this paper, we study three kinds of virus infection model: Delay di?erential equation of Hepatitis B Virus infection with immune, viral infection model with multitarget cells, Beddington-DeAngelis functional response and nonlinear incidence. Considering the global stability of the model are completely determined by the threshold parameter. The key is to consider how to construct suitable Lyapunov function to solve the problem of global stability of equilibria. Which manily utlizing the LaSalle invariance principle and uniform persistence theory of dynamical system in the proof. |
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