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2017 Global Dynamics of a Periodic SEIRS Model with General Incidence Rate
Eric Ávila-Vales, Erika Rivero-Esquivel, Gerardo Emilio García-Almeida
Int. J. Differ. Equ. 2017(SI1): 1-14 (2017). DOI: 10.1155/2017/5796958


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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Eric Ávila-Vales. Erika Rivero-Esquivel. Gerardo Emilio García-Almeida. "Global Dynamics of a Periodic SEIRS Model with General Incidence Rate." Int. J. Differ. Equ. 2017 (SI1) 1 - 14, 2017.


Received: 25 July 2017; Revised: 3 October 2017; Accepted: 10 October 2017; Published: 2017
First available in Project Euclid: 14 December 2017

zbMATH: 06915939
MathSciNet: MR3725015
Digital Object Identifier: 10.1155/2017/5796958

Rights: Copyright © 2017 Hindawi


Vol.2017 • No. SI1 • 2017
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