| 一类具有非线性传染率的SIQR模型的稳定性 |
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| 引用本文： | 李岩,宋燕.一类具有非线性传染率的SIQR模型的稳定性[J].渤海大学学报(自然科学版),2011,32(2):109-113. |
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| 作者姓名： | 李岩 宋燕 |
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| 作者单位： | 渤海大学数理学院,辽宁锦州,121013 |
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| 基金项目： | 辽宁省教育厅科研基金资助项目 |
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| 摘 要： | 讨论了一类具有非线性传染率的SIQR模型,确定了基本再生数R0,当R0＜1,则无病平衡点是全局渐近稳定的,当R0＞1时,地方病平衡点是全局渐近稳定的.
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| 关 键 词： | 基本再生数 平衡点 稳定性 |
Global stability of SIQR epidemic model with nonlinear infectious rate |
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| LI Yan,SONG Yan.Global stability of SIQR epidemic model with nonlinear infectious rate[J].Journal of Bohai University:Natural Science Edition,2011,32(2):109-113. |
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| Authors: | LI Yan SONG Yan |
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| Institution: | LI Yan,SONG Yan(College of mathematics and Physics,Bohai University,Jinzhou 12103.China) |
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| Abstract: | A kind of SIQR epidemic model with nonlinear infectious rate is studied.If the regenerated number,R0<1 then the disease free equilibrium point is globally progressive.If R0>1,then the disease free equilibrium point is unstable,and the local disease equilibrium point partisaly is progressive. |
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| Keywords: | equilibrium basic reproduction number stability |
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