Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4627469 | Applied Mathematics and Computation | 2014 | 14 Pages |
Abstract
In this paper, the dynamics of a SIR epidemic model is investigated. First, we show that the system admits a unique positive global solution starting from the positive initial value. Then, when R0>1R0>1, we show that the stochastic model has a stationary distribution under certain parametric restrictions. In particular, we show that random effects may lead the disease to extinction in scenarios where the deterministic model predicts persistence. When R0⩽1R0⩽1, a result on fluctuation of the solution around the disease-free equilibrium of deterministic system is established under suitable conditions. Finally, numerical simulations are carried out to illustrate the theoretical results.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yanli Zhou, Weiguo Zhang, Sanling Yuan,