摘要：In this paper, we present the global dynamics of an SEIRS epidemic model for an infectious disease not containing the permanent acquired immunity with non-linear generalized incidence rate and preventive vaccination. The model exhibits two equilibria: the disease-free and endemic equilibrium. The disease-free equilibrium is stable locally as well as globally when the basic reproduction number R 0 1 ${\mathcal{R}}_(>1$ . Moreover, the endemic equilibrium is stable both locally and globally when R 0 > 1 ${\mathcal{R}}_(>1$ . We show the global stability of an endemic equilibrium by a geometric approach. Further, numerical results are presented to validate the theoretical results. Finally, we conclude our work with a brief discussion.
关键词：SEIRS epidemic model ; generalized non-linear incidence rate ; basic reproduction number ; global stability ; numerical simulations
