Global Dynamics of a Periodic SEIRS Model with General Incidence Rate

Eric Ávila-Vales, Erika Rivero-Esquivel and Gerardo Emilio García-Almeida

International Journal of Differential Equations, 2017, vol. 2017, 1-14

Abstract:

We consider a family of periodic SEIRS epidemic models with a fairly general incidence rate of the form , 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.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:5796958

DOI: 10.1155/2017/5796958

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