期刊
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
卷 461, 期 -, 页码 140-147出版社
ELSEVIER
DOI: 10.1016/j.physa.2016.05.036
关键词
Stochastic SIR epidemic model; Time delay; Vaccination Persistence in the mean; Extinction; Threshold
资金
- NSFC of China [11371085, 11561069, 51561031]
- Fundamental Research Funds for the Central Universities [15CX08011A]
In this paper, we study the threshold dynamics of a stochastic delayed SIR epidemic model with vaccination. We obtain sufficient conditions for extinction and persistence in the mean of the epidemic. The threshold between persistence in the mean and extinction of the stochastic system is also obtained. Compared with the corresponding deterministic model, the threshold affected by the white noise is smaller than the basic reproduction number Ro of the deterministic system. Results show that time delay has important effects on the persistence and extinction of the epidemic. (C) 2016 Elsevier B.V. All rights reserved.
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