| 一类具有分布时滞和隔离的传染病模型 |
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| 引用本文： | 李秋英,张凤琴,刘汉武. 一类具有分布时滞和隔离的传染病模型[J]. 西南大学学报(自然科学版), 2011, 33(11) |
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| 作者姓名： | 李秋英 张凤琴 刘汉武 |
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| 作者单位： | 运城学院应用数学系; |
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| 基金项目： | 山西省自然科学基金资助项目(2009011005-3); 山西省重点扶持学科项目(20091028); 山西省教育厅科技开发项目(2007151) |
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| 摘 要： | 讨论了一类具有隔离和分布时滞的传染病模型.假设出生率为常数,通过分析讨论,得到了地方病平衡点存在的阈值条件,及平衡点稳定和一致持续生存的充分条件.
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| 关 键 词： | 分布时滞 隔离 平衡点 全局渐近稳定性 持续生存 |
An Epidemic Model with Quarantine and Distribution Time Delay |
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| LI Qiu-ying,ZHANG Feng-qin,LIU Han-wu. An Epidemic Model with Quarantine and Distribution Time Delay[J]. Journal of southwest university (Natural science edition), 2011, 33(11) |
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| Authors: | LI Qiu-ying ZHANG Feng-qin LIU Han-wu |
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| Affiliation: | LI Qiu-ying,ZHANG Feng-qin,LIU Han-wu Department of Applied Mathematics,Yuncheng University,Yuncheng Shanxi 044000,China |
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| Abstract: | In this paper,an epidemic model with quarantine and distribution time delay is proposed and analyzed.The basic reproductive number is obtained which determines whether the disease is extinct or not.Furthermore,we show the sufficient condition for stability of equilibrium and the permanence of the system. |
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| Keywords: | distribution time delay quarantine equilibrium globally asymptotically stable permanence |
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