| 具双时滞的SEIRS传染病模型指数收敛性 |
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| 引用本文： | 傅朝金,郑绿洲.具双时滞的SEIRS传染病模型指数收敛性[J].数学杂志,2008,28(3):265-270. |
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| 作者姓名： | 傅朝金 郑绿洲 |
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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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| 摘 要： | 本文研究了一类具指数人口统计与结构的SEIRS传染病模型,利用一种新的基于比较原理的分析,获得了无病平衡点局部和全局指数稳定的两个充分条件.
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| 关 键 词： | 传染病模型 指数稳定性 收敛率 指数收敛区域 epidemic model exponential stability convergence rate region of exponential convergence 双时滞 SEIRS 传染病 模型 指数收敛性 DELAYS EPIDEMIC MODEL STABILITY sufficient conditions guarantee local global exponential stability disease free equilibrium new technique based concept comparison transmission model type |
| 文章编号： | 0255-7797(2008)03-0265-06 |
| 修稿时间： | 2005年10月19 |
EXPONENTIAL STABILITY OF SEIRS EPIDEMIC MODEL WITH TWO DELAYS |
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| FU Chao-jin,ZHENG Lu-zhou.EXPONENTIAL STABILITY OF SEIRS EPIDEMIC MODEL WITH TWO DELAYS[J].Journal of Mathematics,2008,28(3):265-270. |
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| Authors: | FU Chao-jin ZHENG Lu-zhou |
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| Abstract: | In this paper, a disease transmission model of SEIRS type with exponential demographic structure is studied. Two sufficient conditions are obtained to guarantee the local or global exponential stability of the disease free equilibrium by using a new technique based on the concept of comparison. |
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| Keywords: | epidemic model exponential stability convergence rate region of exponential convergence |
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