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

Advances in Difference Equations

Anqi Miao¹  Yi Song¹  Xinzeng Wang¹  Tongqian Zhang¹  Jianxin Liu² 

[1] College of Mathematics and Systems Science, Shandong University of Science and Technology;School of Mathematical Sciences, Qufu Normal University;

关键词: Stochastic SIRS epidemic model;    Itô’s formula;    Extinction;    Persistence;   

DOI  :  10.1186/s13662-018-1759-8

来源: DOAJ

【 摘 要 】

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 elimination of the disease, which will help suppress the spread of the disease.

【 授权许可】

Unknown