| 具有双线性感染率和免疫接种SIRS模型分析 |
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| 引用本文： | 李玉辉.具有双线性感染率和免疫接种SIRS模型分析[J].吉林林学院学报,2011(2):149-153. |
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| 作者姓名： | 李玉辉 |
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| 作者单位： | 北方工业学校数学教研室,辽宁盘锦124021 |
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| 摘 要： | 根据传染病动力学,建立了一类具有双线性感染率和免疫接种的SIRS传染病模型.利用微分方程定性和稳定性理论,讨论了平衡点的性态和全局渐近稳定性,得到了一些新结果.
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| 关 键 词： | 传染病模型 双线性感染率 接种 平衡点 稳定性 |
Analysis of SIRS Model with Double linearity Infection Rate and Immunity Vaccine |
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| Authors: | LI Yu-hui |
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| Institution: | LI Yu-hui(Staff Room of Mathematics,North China Seminary of Technology,Panjin 124021,China) |
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| Abstract: | Based on infection dynamics,a class of SIRS infection model with double linearity infection rate and immunity vaccines is established.By using qualitative theory and stability theory of differential equations,the behavior of equilibrium point and global progressive stability of its equilibrium point are discussed,some new results are obtained. |
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| Keywords: | infection model double linearity infection rate vaccines equilibrium point stability |
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