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arXiv · 1704.01116

Global dynamics of a periodic SEIRS model with general incidence rate

Eric Ávila-Vales·Erika Rivero-Esquivel·Gerardo García-Almeida
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Abstract

We consider a family of periodic SEIRS epidemic models with a fairly general incidence rate and it is shown the basic reproduction number determines the global dynamics of the models and it is a threshold parameter for persistence. Numerical simulations are per- formed to estimate the basic reproduction number and illustrate our analytical findings, using a nonlinear incidence rate.

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Eric Ávila-Vales, Erika Rivero-Esquivel, Gerardo García-Almeida. 2017-04-04. Global dynamics of a periodic SEIRS model with general incidence rate. https://arxiv.org/abs/1704.01116

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