| 一类具有非线性发生率的传染病模型的全局稳定性 |
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| 引用本文： | 徐芳,栗永安,祝占法.一类具有非线性发生率的传染病模型的全局稳定性[J].兰州铁道学院学报,2008,27(6). |
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| 作者姓名： | 徐芳 栗永安 祝占法 |
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| 作者单位： | 兰州交通大学数理软件与工程学院 |
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| 摘 要： | 研究了一类具有非线性传染率的SEIQR流行病传播数学模型,得到了基本再生数.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,结果表明适当地增大隔离强度有利于预防与控制疾病的蔓延.
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| 关 键 词： | 传染病模型 非线性发生率 全局渐近稳定 |
Global Stability of a Special Epidemic Model with Nonlinear Incidence |
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| XU Fang,Li Yong-an,ZHU Zhan-fa.Global Stability of a Special Epidemic Model with Nonlinear Incidence[J].Journal of Lanzhou Railway University,2008,27(6). |
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| Authors: | XU Fang Li Yong-an ZHU Zhan-fa |
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| Abstract: | A kind of nonlinear incidence SEIQR epidemic mathematical model is studied.The basic reproductive number is obtained.The existence and global asymptotical stability of the disease-free equilibrium and the endemic equilibrium are proved.The conclusions indicate that a proper increase of segregation intension benefits the inefficient spread of disease. |
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| Keywords: | epidemic mathematical model nonlinear incidence global asymptotical stability |
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