| 具垂直传染和连续预防接种的SIRS传染病模型的研究 |
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| 引用本文： | 付景超,井元伟,张中华,张嗣瀛.具垂直传染和连续预防接种的SIRS传染病模型的研究[J].生物数学学报,2008,23(2). |
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| 作者姓名： | 付景超 井元伟 张中华 张嗣瀛 |
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| 作者单位： | 东北大学,信息科学与工程学院,辽宁,沈阳,110004 |
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| 摘 要： | 研究了具有垂直传染的两类连续预防接种传染病模型,分别给出了SIRS传染病模型基本再生数并利用广义Dulac函数方法和LaSalle不变原理证明了无病平衡点和正平衡点的全局稳定性.最后对两种结果进行了比较.
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| 关 键 词： | 传染病 基本再生数 全局稳定 预防接种 |
The Study on the SIRS Epidemic Models with Vertical Infection and Continuous Vaccination |
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| FU Jing-chao,JING Yuan-wei,ZHANG Zhong-hua,ZHANG Si-ying.The Study on the SIRS Epidemic Models with Vertical Infection and Continuous Vaccination[J].Journal of Biomathematics,2008,23(2). |
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| Authors: | FU Jing-chao JING Yuan-wei ZHANG Zhong-hua ZHANG Si-ying |
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| Institution: | (College of ln formatian Science and Engineering Northeastern University; Shenyang Liaoning 110004 China); |
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| Abstract: | The SIRS epidemic models with vertical infection and continuous vaccination are discussed.We have found out the reproduction numbers corresponding to those models,and given a complete analysis to the two continuous vaccinations by using a generalized Dulac function and a invariable theorem. |
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| Keywords: | Infectious disease Basic reproduction number Global stability Vaccination |
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