| 具有阶段结构和隔离干预的SIRS传染病模型 |
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| 引用本文： | 张双德,张喜红,郝海.具有阶段结构和隔离干预的SIRS传染病模型[J].江西师范大学学报(自然科学版),2005,29(4):287-290. |
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| 作者姓名： | 张双德 张喜红 郝海 |
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| 作者单位： | 武警部队医学院,基础部,天津,300162;长治医学院,基础部,山西,长治,046000 |
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| 基金项目： | 武警部队资助课题（WKH2004-7） |
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| 摘 要： | 在传染病模型K-M三假设的基础上，进一步的将整体人群按年龄层次分为两个阶段结构，同时考虑对传染病的积极干预，即将染病人群分为染病未被隔离和染病即被隔离两种状态．研究了具有这两种特征的SIRS传染病模型，证明了该模型解的非负性、有界性和整体存在唯一性．
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| 关 键 词： | 传染病模型 阶段结构 隔离 解的存在唯一性 |
| 文章编号： | 1000-5862（2005）04-0287-04 |
| 收稿时间： | 2005-01-17 |
| 修稿时间： | 2005-01-17 |
A SIRS Infections Disease Model with Stage-Structure and Isolation |
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| ZHANG Shuang-de,ZHANG Xi-hong,HAO Hai.A SIRS Infections Disease Model with Stage-Structure and Isolation[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2005,29(4):287-290. |
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| Authors: | ZHANG Shuang-de ZHANG Xi-hong HAO Hai |
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| Abstract: | Based on the K-M model assumption of the infection diseases model,a SIRS infections disease model is discussed that the whole population is divided into two groups by both age: immature,mature and isolation: isolation, non-isolation. The non- negative, boundary, existence and uniqueness of solution of the model are proved by application of the ordinary differential theory. |
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| Keywords: | infectious disease model stage structure isolation existence and uniqueness of solution |
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