The threshold of a non‐autonomous SIRS epidemic model with stochastic perturbations |
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| Authors: | Chunyan Ji Daqing Jiang |
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| Institution: | 1. School of Mathematics and Statistics, Changshu Institute of Technology, Changshu, Jiangsu, China;2. School of Mathematics and Statistics, Northeast Normal University, Changchun, Jilin, China;3. College of Science, China University of Petroleum (East China), Qingdao, China;4. Nonlinear Analysis and Applied Mathematics (NAAM)‐Research Group, Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia |
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| Abstract: | In this paper, we investigate a stochastic non‐autonomous SIRS (susceptible‐infected‐recovered‐susceptible) model. The extinction and the prevalence of the disease are discussed, and so, the threshold is given. Especially, we show there is a positive nontrivial periodic solution. At last, some examples and simulations are provided to illustrate our results. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | A SIRS epidemic model It
's formula threshold extinction prevalence periodic solutions subclass 60H10 34E10 |
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