Periodic solution of a stochastic SIRS epidemic model with seasonal variation

In this paper, we consider a stochastic SIRS epidemic model with seasonal variation and saturated incidence. Firstly, we obtain the threshold of stochastic system which determines whether the epidemic occurs or not. Secondly, we prove that there is a non-trivial positive periodic solution if $ R_0^s...

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Bibliographic Details
Main Authors: Manli Jin, Yuguo Lin
Format: Article
Language:English
Published: Taylor & Francis Group 2018-01-01
Series:Journal of Biological Dynamics
Subjects:
Online Access:http://dx.doi.org/10.1080/17513758.2017.1396369