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Periodic solution of a stochastic SIQR epidemic model incorporating media coverage
Ding Yan Lin,Ren Xin Zhi,Jiang Cui Cui,Zhang Qian Hong
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.