Extinction and persistence of a stochastic SIRS epidemic model with saturated incidence rate and transfer from infectious to susceptible

Extinction and persistence of a stochastic SIRS epidemic model with saturated incidence rate and transfer from infectious to susceptible

Abstract In this paper, stochastic effect on the spread of the infectious disease with saturated incidence rate and the special transfer from infectious is discussed. The threshold dynamics is explored for the case of relatively small noise. Our results show that large noise will cause the eliminati...

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Bibliographic Details
Main Authors: Yi Song, Anqi Miao, Tongqian Zhang, Xinzeng Wang, Jianxin Liu
Format: Article
Language:English
Published: SpringerOpen 2018-08-01
Series:Advances in Difference Equations
Subjects:
Stochastic SIRS epidemic model
Itô’s formula
Extinction
Persistence
Online Access:http://link.springer.com/article/10.1186/s13662-018-1759-8

Internet

http://link.springer.com/article/10.1186/s13662-018-1759-8

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