| 具有阶段结构和Logistic死亡的传染病模型 |
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| 引用本文： | 程晓云,胡志兴.具有阶段结构和Logistic死亡的传染病模型[J].石家庄学院学报,2006,8(3):17-21. |
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| 作者姓名： | 程晓云 胡志兴 |
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| 作者单位： | 北京科技大学,数学系,北京,100083 |
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| 摘 要： | 研究了一类具有Logistic死亡且成年染病的SIS阶段结构模型的渐近形态,讨论了无病平衡点和地方病平衡点的存在性及局部和全局稳定性,得出了疾病消除和成为地方病的阈值.
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| 关 键 词： | 传染病 阶段结构 Logistic死亡 渐近稳定 阈值 |
| 文章编号： | 1673-1972（2006）03-0017-05 |
| 收稿时间： | 2006-03-30 |
| 修稿时间： | 2006年3月30日 |
A Epidemic Model with Stage-structure and Logistic Death Rate |
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| CHENG Xiao-yun,HU Zhi-xing.A Epidemic Model with Stage-structure and Logistic Death Rate[J].Journal of Shijiazhuang University,2006,8(3):17-21. |
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| Authors: | CHENG Xiao-yun HU Zhi-xing |
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| Abstract: | In this paper,the asymptotic behavior of a structured SIS epidemic model with Logistic death rate is studied.Sufficient conditions for the existence and locally and globally asymptotic stability of the disease free equilibrium and endemic equilibrium are obtained.The threshold is found which the epidemic will become endemic or die out. |
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| Keywords: | epidemic stage structure logistic death rate asymptotically stable threshold |
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