| 一类采取隔离措施的非线性传染率传染病模型的全局稳定性 |
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| 引用本文： | 李大治.一类采取隔离措施的非线性传染率传染病模型的全局稳定性[J].大学数学,2009,25(1). |
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| 作者姓名： | 李大治 |
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| 作者单位： | 南通大学,理学院,江苏,南通,226007 |
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| 基金项目： | 南通大学自然科学基金 |
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| 摘 要： | 讨论一类采取隔离措施的非线性传染率传染病的数学模型,得到了基本再生数Rθ的表达式,当Rθ<1时,仅存在无病平衡点,是全局渐近稳定的;当Rθ>1时,存在两个平衡点,其中无病平衡点不稳定,地方病平衡点全局渐近稳定.
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| 关 键 词： | 非线性传染率 隔离 基本再生数 全局渐近稳定 |
Global stability for an Epidemic Model with Quarantine and Nonlinear Infectious Rate |
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| LI Da-zhi.Global stability for an Epidemic Model with Quarantine and Nonlinear Infectious Rate[J].College Mathematics,2009,25(1). |
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| Authors: | LI Da-zhi |
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| Institution: | College of Sciences;Nantong University;Nantong 226007;China |
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| Abstract: | An epidemic model with quarantine and nonlinear infectious rate is analyzed in this paper.The basic reproduction number Rθ is identified.When Rθ<1,there only exists disease free equilibrium point,which is globally asymptotically stable;when Rθ>1,there exist two equilibrium points:the disease free equilibrium point,which is unstable,and endemic equilibrium point,which is globally asymptotically stable. |
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| Keywords: | nonlinear infectious rate quarantine basic reproduction number globally asymptotically stable |
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