| Volume 10, Number 6, 2020, Pages 2439-2458 DOI：10.11948/20190333 |
| Periodic solution of a stochastic SIQR epidemic model incorporating media coverage |
| Yanlin Ding,Xinzhi Ren,Cuicui Jiang,Qianhong Zhang |
| Keywords:Stochastic model, periodic, extinction, media coverage, SIQR. |
| Abstract: |
| In this paper, we propose a stochastic SIQR epidemic model with periodic parameters and media coverage. Firstly, we study that the stochastic non-autonomous periodic system has a unique global positive solution. Secondly, by using the Khasminskii''s theory, we prove that this stochastic periodic system has a nontrivial positive periodic solution. Then, we obtain the sufficient condition for extinction of the disease. Finally, numerical simulations are employed to illustrate our theoretical analysis. |
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