1. Dynamics of a stochastic SIR epidemic model with saturated incidence.
- Author
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Liu, Qun and Chen, Qingmei
- Subjects
- *
EPIDEMIOLOGICAL models , *STOCHASTIC analysis , *DYNAMICS , *DISEASE incidence , *COMPUTER simulation - Abstract
In this paper, the dynamics of a stochastic SIR epidemic model with saturated incidence is investigated. Firstly, we prove that the system has a unique global positive solution with any positive initial value. Then we verify that random effect may lead the disease to extinction under a simple condition. Thirdly, we establish a sufficient condition for persistence in the mean of the disease. Moreover, we show that there is a stationary distribution to the stochastic system under certain parametric restrictions. Finally, some numerical simulations are carried out to confirm the analytical results. [ABSTRACT FROM AUTHOR]
- Published
- 2016
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