| 具有预防接种和隔离措施的SEIQR传染病模型 |
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| 引用本文： | 马艳丽,徐文雄,王春生.具有预防接种和隔离措施的SEIQR传染病模型[J].西安工程科技学院学报,2011,25(1). |
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| 作者姓名： | 马艳丽 徐文雄 王春生 |
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| 作者单位： | 安徽新华学院教务处;西安交通大学理学院; |
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| 基金项目： | 安徽省优秀青年人才基金项目(2009SQRZ196) |
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| 摘 要： | 研究了一类具有预防接种且带隔离项的非线性高维自治微分系统SEIQR流行病传播模型,得到疾病流行与否的阈值-基本再生数R0,证明了无病平衡点和地方病平衡点的存在性及全局稳定性.结果表明,对易感者进行接种和适当地增大隔离强度,将有利于疾病的控制与消除.
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| 关 键 词： | 流行病 数学模型 基本再生数 平衡点 全局稳定性 轨道渐近稳定 |
Global stability of SEIQR epidemiological model with vaccination and segregation |
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| MA Yan-li,XU Wen-xiong,WANG Chun-sheng.Global stability of SEIQR epidemiological model with vaccination and segregation[J].Journal of Xi an University of Engineering Science and Technology,2011,25(1). |
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| Authors: | MA Yan-li XU Wen-xiong WANG Chun-sheng |
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| Abstract: | A kind of non-linear high dimensional autonomous system,SEIQR epidemiology model containing vaccination and quarantine is studied.The threshold,basic reproductive number R0 which determines whether a disease is extinct or not,is obtained.The existence and global stabilities of the disease-free equilibrium and the endemic equilibrium is proved.The conclusions indicate that vaccination and a proper increasing of segregation intention benefit the controlling and elimination of the disease. |
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| Keywords: | epidemic mathematical model basic reproductive number equilibrium global stability orbital asymptotical stability |
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