| Lévy噪声驱动具有饱和发生率的SEIR传染病模型 |
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| 引用本文： | 郭英佳.Lévy噪声驱动具有饱和发生率的SEIR传染病模型[J].北华大学学报(自然科学版),2017,18(4). |
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| 作者姓名： | 郭英佳 |
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| 作者单位： | 北华大学数学与统计学院,吉林 吉林,132013 |
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| 基金项目： | 吉林省教育厅科学技术研究项目，北华大学博士科研启动基金资助项目 |
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| 摘 要： | 研究了一类Lévy噪声驱动的具有饱和发生率的随机SEIR传染病模型,证明了系统正解的存在唯一性,利用Lyapunov方法研究了该模型在无病平衡点和地方病平衡点附近解的渐近行为.
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| 关 键 词： | Lévy噪声 SEIR传染病模型 正解的存在唯一性 Lyapunov函数 渐近行为 |
SEIR Epidemic Models with Saturated Incidence Rate Driven by Lévy Noise |
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| Guo Yingjia.SEIR Epidemic Models with Saturated Incidence Rate Driven by Lévy Noise[J].Journal of Beihua University(Natural Science),2017,18(4). |
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| Authors: | Guo Yingjia |
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| Abstract: | We study an epidemic model with saturated incidence rate driven by Lévy noise and prove that this system has a unique global positive solution.Using Lyapunov method,we investigate the asymptotic behaviors of this system around the disease-free equilibrium point and the endemic equilibrium point of the corresponding deterministic system. |
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| Keywords: | Lévy noise SEIR epidemic models existence and uniqueness of positive solution Lyapunov function asymptotic behavior |
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