| 一类具有垂直传染SIQR传染病模型的动力学分析 |
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| 引用本文： | 彭晓艳.一类具有垂直传染SIQR传染病模型的动力学分析[J].重庆文理学院学报,2014,33(2):30-32. |
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| 作者姓名： | 彭晓艳 |
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| 作者单位： | 兰州交通大学数理学院数学系,甘肃兰州730070 |
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| 基金项目： | 国家自然科学基金资助项目（11061017）. |
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| 摘 要： | 讨论了一类垂直传染sIQR传染病模型，得到了疾病灭绝的阂值条件R01＊.当R01＊≤1时，无病平衡点E0是全局渐近稳定的；妆R01＊〉1时，无病平衡点E0是不稳定的；当R01＊=min{R01＊，R02＊，1}时，地方病平衡点E1和E2是全局渐近稳定的．
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| 关 键 词： | 垂直传染 SIQR模型 阈值 稳定性 |
Dynamic analysis of a SIQR epidemic model with vertical transmission |
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| PENG Xiaoyan.Dynamic analysis of a SIQR epidemic model with vertical transmission[J].Journal of Chongqing University of Arts and Sciences,2014,33(2):30-32. |
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| Authors: | PENG Xiaoyan |
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| Institution: | PENG Xiaoyan ( Department of Mathematics, Lanzhou diaotong University, Lanzhou Gansu 730070, China) |
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| Abstract: | In this paper, a kind of SQIR epidemic model with vertical transmission is investigated. The threshold value of determining spread of disease or not is obtained. When R01＊≤1, disease - free E0 equilibrium is globally and asymptotically stable. When R01＊ 〉 1, the disease - free equilibrium Eo is unstable. When R01＊=min{R01＊,R02＊,1} , the endemic equilibrium E1 and E2 are locally and asymptotically stable. |
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| Keywords: | vertical infection SIQR model threshold stability |
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