| 具可变种群总数的SIS传染病模型指数稳定性 |
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| 引用本文： | 傅朝金,沈轶,郑绿洲.具可变种群总数的SIS传染病模型指数稳定性[J].应用数学,2007,20(2):233-238. |
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| 作者姓名： | 傅朝金 沈轶 郑绿洲 |
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| 作者单位： | 1. 湖北师范学院数学系,湖北,黄石,435002
2. 华中科技大学系统工程研究所,湖北,武汉,430074 |
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| 基金项目： | 国家自然科学基金;湖北省教育厅科研项目 |
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| 摘 要： | 本文研究了一类具可变种群总数的SIS传染病模型,利用基于比较原理的新的分析技巧,获得了一些无病平衡点和传染病平衡点全局和局部指数稳定的充分条件,同时得到了平衡点指数收敛率与指数收敛区域的估计.
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| 关 键 词： | 传染病模型 无病平衡点 传染病平衡点 指数稳定性 收敛率 |
| 文章编号： | 1001-9847(2007)02-0233-06 |
| 修稿时间： | 2006-03-10 |
Exponential Stability of SIS Epidemic Models with Varying Total Population Size |
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| FU Chao-jin,SHEN Yi,ZHENG Lv-zhou.Exponential Stability of SIS Epidemic Models with Varying Total Population Size[J].Mathematica Applicata,2007,20(2):233-238. |
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| Authors: | FU Chao-jin SHEN Yi ZHENG Lv-zhou |
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| Institution: | 1. Department of Mathematics, Hubei Normal University, Huangshi 435002, China 2. Institute of System Engineering, Huazhong University of Science and Technology, Wuhan 430074 ,China |
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| Abstract: | An SIS epidemic model with varying total population size is studied.Using new analytic technique based on the concept of comparison,some suffcient conditions are obtained to guarantee the local or global exponential stability of the disease free equilibrium and the endemic equilibrium.Furthermore,the estimate of the exponential convergence rate of the equilibrium and the estimate of the region of exponential convergence of the equilibrium are derived. |
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| Keywords: | Epidemic model Disease free equilibrium Endemic equilibrium Exponential stability Convergence rate |
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