The extinction and persistence of a stochastic SIR model

Advances in Difference Equations

Chunyan Ji¹  Daqing Jiang² 

[1] School of Mathematics and Statistics, Changshu Institute of Technology, Changshu, P.R. China;School of Mathematics and Statistics, Northeast Normal University, Changchun, P.R. China

关键词: a stochastic SIR model;    extinction;    persistence;    threshold;    basic reproduction number;    49K15;    60H10;    93E15;   

DOI  :  10.1186/s13662-016-1068-z

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The objective of this paper is to explore the long time behavior of a stochastic SIR model. We establish a threshold condition called the basic reproduction number under stochastic perturbation for persistence or extinction of the disease. Especially, some numerical simulations are applied to support our theoretical results.

【 授权许可】

CC BY