| 一类有迁移的SIS流行病模型 |
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| 引用本文： | 苟清明,王稳地.一类有迁移的SIS流行病模型[J].系统科学与数学,2007,27(4):587-596. |
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| 作者姓名： | 苟清明 王稳地 |
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| 作者单位： | 1. 长江师范学院数学系,涪陵,408003
2. 西南大学数学与统计学院,重庆,400715 |
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| 基金项目： | 国家自然科学基金;重庆市教委资助项目 |
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| 摘 要： | 研究一类种群有迁移的流行病模型,得到了这类模型的基本再生数R0,证明了R0＜1无病平衡点是局部渐近稳定的,而当R0＞1时无病平衡点是不稳定的.进一步讨论了疾病持续存在与无病平衡点和地方病平衡点全局稳定的条件.
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| 关 键 词： | 传染病模型 种群迁移 疾病消失 地方病 |
| 收稿时间： | 2005-9-13 |
| 修稿时间： | 2005年9月13日 |
An SIS Epidemic Model with Population Dispersal |
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| Gou Qingming,Wang Wendi.An SIS Epidemic Model with Population Dispersal[J].Journal of Systems Science and Mathematical Sciences,2007,27(4):587-596. |
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| Authors: | Gou Qingming Wang Wendi |
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| Institution: | (1)Department of Mathematics, Yangtze Normal University , Chongqing 408003; (2)School of Mathematics and Statistics, Southwest Normal University, Chongqing 400715 |
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| Abstract: | An epidemic model with population dispersal is studied. The basic reproduction number $R_0$ is obtained for the disease. It is shown that the disease-free equilibrium is locally asymptotically stable if $R_0<1$ and is unstable if $R_0>1$. Furthermore, conditions for the uniform persistence of disease and conditions for global stability of the disease-free equilibrium and the endemic equilibrium are obtained by Liapunov method and by analyzing the property of flow on the boundary, respectively. |
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| Keywords: | Epidemic model population dispersal disappearance of disease endemic |
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