Article ID Journal Published Year Pages File Type
4625889 Applied Mathematics and Computation 2016 12 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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