| 引用本文: | 钟晓静,邓飞其.随机多种群易感者、感染者和移出者传染病模型的阈值[J].控制理论与应用,2016,33(10):1303~1311.[点击复制] |
| ZHONG Xiao-jing,DENG Fei-qi.Sharp threshold of a multi-group susceptical infective and removal model by stochastic perturbation[J].Control Theory and Technology,2016,33(10):1303~1311.[点击复制] |
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| 随机多种群易感者、感染者和移出者传染病模型的阈值 |
| Sharp threshold of a multi-group susceptical infective and removal model by stochastic perturbation |
| 摘要点击 4592 全文点击 1804 投稿时间：2015-03-27 修订日期：2016-09-28 |
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| DOI编号 10.7641/CTA.2016.50240 |
| 2016,33(10):1303-1311 |
| 中文关键词 随机多种群SIR传染病模型 阈值 渐进稳定性 随机镇定 |
| 英文关键词 stochastic multi-group SIR model sharp threshold asymptotically stable stochastic stabilization |
| 基金项目 Supported by National Natural Science Foundation of China (61273126) and Fundamental Research Funds for Guangzhou Universities (ZXJ3–2001). |
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| 中文摘要 |
| 本文建立了一类随机多种群易感者、感染者和移出者(susceptical infective and removal, SIR)传染病微分方程
模型, 针对模型找到与随机因素相关的阈值用于判定疾病的消亡与否. 通过阈值里随机干扰的作用给出疾病防控的新方
法—–随机镇定. 与此同时, 本文探究无病平衡点的全局稳定性并通过数据仿真实例解释上述理论结果的正确性和可行
性. |
| 英文摘要 |
| For a stochastic differential equation epidemic model of multi-group susceptical infective and removal (SIR)
type, we define the basic reproduction number RS
0 and show that it is a sharp threshold for the dynamics of the stochastic
multi-group SIR model which determines whether the epidemic occurs or not. Our analytic results of stochastic stabilization
applies a new viable measure to disease control. Furthermore, we investigate the global asymptotic behaviour of the disease.
Finally we give numerical simulation to illustrate our analytical results. |