The threshold of a stochastic delayed SIR epidemic model with temporary immunity

Qun Liu, Qingmei Chen and Daqing Jiang

Physica A: Statistical Mechanics and its Applications, 2016, vol. 450, issue C, 115-125

Abstract: 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 R0 of the deterministic system.

Keywords: Stochastic SIR epidemic model; Temporal delay; Persistence; Extinction; Threshold (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (27)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:450:y:2016:i:c:p:115-125

DOI: 10.1016/j.physa.2015.12.056

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