| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 7377951 | Physica A: Statistical Mechanics and its Applications | 2016 | 21 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Qun Liu, Qingmei Chen, Daqing Jiang,