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Global Dynamics of a Generalized SIRS Epidemic Model with Constant Immigration

Global Dynamics of a Generalized SIRS Epidemic Model with Constant Immigration

In this paper, we discuss the global dynamics of a general susceptible-infected-recovered-susceptible (SIRS) epidemic model. By using LaSalleā€™s invariance principle and Lyapunov direct method, the global stability of equilibria is completely established. If there is no input of infectious individuals, the dynamical behaviors completely depend on the basic reproduction number. ā€¦