| 一类食饵中存在疾病的捕食系统的SIS传染病模型 |
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| 引用本文： | 韩丽涛.一类食饵中存在疾病的捕食系统的SIS传染病模型[J].工程数学学报,2007,24(1):71-78. |
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| 作者姓名： | 韩丽涛 |
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| 作者单位： | 中国人民大学信息学院,北京,100872 |
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| 摘 要： | 研究了一类疾病只在食饵中存在的捕食系统的SIS传染病模型.在此模型中,不考虑疾病对捕获率的影响.通过理论分析,给出了各类平衡点全局渐近稳定性的条件,揭示了捕食因素对疾病传播的影响.所得结论表明,捕食者的引入,将会使原来的单种群传染病模型的稳定性态无论是定量上还是定性上都将产生变化.
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| 关 键 词： | 传染病模型 捕食系统 全局渐近稳定性 |
| 文章编号： | 1005-3085(2007)01-0071-08 |
| 修稿时间： | 2005-10-14 |
A Predator-prey SIS Epidemic Model with Infected Prey |
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| HAN Li-tao.A Predator-prey SIS Epidemic Model with Infected Prey[J].Chinese Journal of Engineering Mathematics,2007,24(1):71-78. |
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| Authors: | HAN Li-tao |
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| Affiliation: | School of Information, Renmin University of China, Beijing 100872 |
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| Abstract: | A predator-prey SIS epidemic model with infected prey is studied, and the effects of the disease on predation for the infected prey are not considered. By theoretical analysis, the global asymptotic stabilities of the equilibria are given, and the effects of predation on the transmission of the disease are revealed. It is discovered that, after the predator population is introduced, the stability of the single population SIS epidemic model can vary qualitatively and quantitatively. |
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| Keywords: | epidemic model predator-prey model global asymptotic stability |
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