| 变时滞SIS流行病模型的稳定性分析 |
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| 引用本文： | 傅朝金.变时滞SIS流行病模型的稳定性分析[J].生物数学学报,2004,19(4):435-438. |
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| 作者姓名： | 傅朝金 |
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| 作者单位： | 湖北师范学院,数学系,湖北,黄石,435002 |
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| 基金项目： | 湖北省教育厅重点科研资助项目(2000B08005) |
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| 摘 要： | 研究了一类时滞SIS流行病模型，分析了该模型无病平衡点和地方平衡点的存在性，得到了无病平衡点全局指数渐近稳定和地方病平衡点局部指数渐近稳定的充分条件，同时给出了地方病平衡点吸引区域的估计。
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| 关 键 词： | SIS传染病模型 时滞 平衡点 指数渐近稳定 |
| 文章编号： | 1001-9626(2004)04-0435-04 |
| 修稿时间： | 2003年1月5日 |
Study on Stability of SIS Epidemiological Model with Time-Varying Delay |
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| FU Chao-jin.Study on Stability of SIS Epidemiological Model with Time-Varying Delay[J].Journal of Biomathematics,2004,19(4):435-438. |
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| Authors: | FU Chao-jin |
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| Abstract: | In this paper, an SIS epidemiological model with time varying delay is dis- cussed and the existence of the disease-free equilibrium and the endemic equilibrium are proved. Some sufficient condition on global exponential stability of the disease-free equilibrium and local exponential stability of the endemic equilibrium are obtained. And the estimate on domain of attraction of the endemic equilibrium is derived. |
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| Keywords: | SIS epidemiological model Delay Equilibrium Exponential stability |
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