Journal of Jilin University Science Edition ›› 2021, Vol. 59 ›› Issue (6): 1411-1418.
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GUO Yingjia, XU Xiaorui, LI Xiaolan
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Abstract: Based on Lyapunov method and stochastic differential equation theory, we proved the global existence and uniqueness of positive solution for a class of stochastic SIQR epidemic model with nonmonotonic incidence rate driven by Lévy noise, investigated the asymptotic behavior of the solutions for the model near the disease-free equilibrium point and the endemic equilibrium point of corresponding deterministic model, repectively, and analyzed the influence of random noise on the dynamic behavior of the model.
Key words: Lévy noise, nonmonotonic incidence rate, stochastic SIQR epidemic model, existence and uniqueness, asymptotic property
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GUO Yingjia, XU Xiaorui, LI Xiaolan. Stochastic SIQR Epidemic Model with Nonmonotonic Incidence Rate Driven by Lévy Noise[J].Journal of Jilin University Science Edition, 2021, 59(6): 1411-1418.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2021/V59/I6/1411
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