| Lyapunov函数在一类随机扰动的SIS-VS传染病系统中的应用#br# |
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| 引用本文： | 夏兰,赵亚男.Lyapunov函数在一类随机扰动的SIS-VS传染病系统中的应用#br#[J].吉林大学学报(理学版),2018,56(6):1391-1396. |
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| 作者姓名： | 夏兰 赵亚男 |
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| 作者单位： | 1. 吉林大学 计算机科学与技术学院, 长春 130012;2. 吉林交通职业技术学院 基础部, 长春 130012; 3. 长春大学 理学院, 长春 130022
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| 摘 要： | 考虑一类具有随机扰动的SIS VS传染病系统, 应用新的Lyapunov函数研究该系统的遍历性, 得到了该随机传染病系统平稳分布存在
性和遍历性的充分条件. 结果表明, Lyapunov函数的构造方法改进了依赖于确定性模型的地方病平衡点和疾病致死率限制的已有结果, 得到了更适用的条件.
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| 关 键 词： | 随机微分方程 Lyapunov函数 SIS-VS传染病模型 平稳分布 遍历性 |
| 收稿时间： | 2018-03-20 |
Application of Lyapunov Function in a Class of SIS VSEpidemic Systems with Random Perturbation |
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| XIA Lan,ZHAO Yanan.Application of Lyapunov Function in a Class of SIS VSEpidemic Systems with Random Perturbation[J].Journal of Jilin University: Sci Ed,2018,56(6):1391-1396. |
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| Authors: | XIA Lan ZHAO Yanan |
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| Affiliation: | 1. College of Computer Science and Technology, Jilin University, Changchun 130012, China;2. Department of Basic, Jilin Communications Polytechnic, Changchun 130012, China;3. School of Science, Changchun University, Changchun 130022, China
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| Abstract: | We considered a class of SIS VS epidemic system with random perturbation, applied the new Lyapunov function to study the ergodicity of the system, and obtained the sufficient conditions for the existence and ergodicity ofthe stationary distribution of the stochastic epidemic system. The results showthat the construction method of Lyapunov function improves the existing resultsof endemic equilibrium and the mortality, which depend on the deterministic models, and obtains more applicableconditions. |
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| Keywords: | stochastic differential equation Lyapunov function SIS-VS epidemic model station distribution ergodicity
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