期刊
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
卷 450, 期 -, 页码 115-125出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2015.12.056
关键词
Stochastic SIR epidemic model; Temporal delay; Persistence; Extinction; Threshold
资金
- NSFC of China [11371085, 11561069, 51561031]
- Fundamental Research Funds for the Central Universities [15CX08011A]
This paper is concerned with the asymptotic properties of a stochastic delayed SIR epidemic model with temporary immunity. Sufficient conditions for extinction and persistence in the mean of the epidemic are established. The threshold between persistence in the mean and extinction of the epidemic is obtained. Compared with the corresponding deterministic model, the threshold affected by the white noise is smaller than the basic reproduction number R-0 of the deterministic system. (C) 2016 Elsevier B.V. All rights reserved.
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