Nontrivial periodic solution of a stochastic epidemic model with seasonal variation |
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| Affiliation: | 1. College of Science, China University of Petroleum (East China), Qingdao 266580, China;2. School of Mathematics, Beihua University, Jilin 132013, China;3. College of Computer Science and Technology, Beihua University, Jilin 132021, China |
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| Abstract: | In this paper, we consider a stochastic SIR epidemic model with seasonal variation. First, we obtain the threshold of our model which determines whether the epidemic occurs or not. In the case of persistence, we prove that there is a nontrivial positive periodic solution. |
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| Keywords: | SIR epidemic model Periodic solution Extinction and persistence |
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