Global Dynamics of a Periodic SEIRS Model with General Incidence Rate

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Abstract

We consider a family of periodic SEIRS epidemic models with a fairly general incidence rate of the form Sf(I), and it is shown that the basic reproduction number determines the global dynamics of the models and it is a threshold parameter for persistence of disease. Numerical simulations are performed using a nonlinear incidence rate to estimate the basic reproduction number and illustrate our analytical findings.

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Ávila-Vales, E., Rivero-Esquivel, E., & García-Almeida, G. E. (2017). Global Dynamics of a Periodic SEIRS Model with General Incidence Rate. International Journal of Differential Equations, 2017. https://doi.org/10.1155/2017/5796958

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