| 具有连续预防接种的双线性接触率的SEIQR流行病模型的定性分析 |
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| 引用本文： | 章培军,李维德,李自珍,程雷虎.具有连续预防接种的双线性接触率的SEIQR流行病模型的定性分析[J].兰州大学学报(自然科学版),2009,45(4). |
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| 作者姓名： | 章培军 李维德 李自珍 程雷虎 |
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| 作者单位： | 1. 兰州大学,数学与统计学院,兰州,730000
2. 兰州大学,数学与统计学院,兰州,730000;兰州大学干旱与草地农业牛态教育部重点实验室,兰州,730000 |
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| 基金项目： | 国家自然科学基金项目 |
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| 摘 要： | 研究具有隔离仓室、预防接种及双线性接触率的高维自治微分系统的SEIQR流行病模型,得到决定疾病绝火与否的阈值:基本再乍数R0,证明了无病平衡点和地方病平衡点的存在性及全局渐近稳定性,揭示了隔离和预防接种对疾病控制的积极作用.
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| 关 键 词： | 流行病模型 基本再生数 高维自治微分系统 全局渐近稳定性 |
Analysis of SEIQR epidemical model with continuous vaccinal immunity and bilinear incidence rate |
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| ZHANG Pei-jun,LI Wei-de,LI Zi-zhen,CHENG Lei-hu.Analysis of SEIQR epidemical model with continuous vaccinal immunity and bilinear incidence rate[J].Journal of Lanzhou University(Natural Science),2009,45(4). |
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| Authors: | ZHANG Pei-jun LI Wei-de LI Zi-zhen CHENG Lei-hu |
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| Institution: | 1;2;1.School of Mathematics and Statistics;Lanzhou University;Lanzhou 730000;China;2.Key Laboratory of Arid and Grassland Ecology with the Ministry of Education;China |
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| Abstract: | A high dimensional autonomous differential system,SEIQR epidemic model with containing quarantine,vaccinal immunity and bilinear incidence rate was discussed.The threshold,basic reproductive number which determines whether a disease is extinct or not,was obtained.The existence and global stabilities of the disease-free equilibrium and the endemic equilibrium were solved and active effects of quarantine and vaccinal immunity exposed. |
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| Keywords: | epidenfical model basic reproductive number high dimensional autonomous differential system global asymptotical stability |
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