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一类具有变人口规模的含时滞SIS流行病模型的全局稳定性 被引量：1

Global Stability of SIS Epidemiologic Model with Delay and Variable Population Size
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摘要 在文献[1]讨论的一类总人口变化且含有时滞的SIS流行病模型而得到的各类平衡点局部渐近和无病平衡点全局渐近稳定的结论基础上,进一步考虑疾病流行的持续性.利用构造Lia-punov函数的方法,得到了地方平衡点全局渐近稳定的一个充分条件. An SIS epidemiologic model with delay and variable population size was studied in one of our previous paper, where the local stability of all kinds of equilibria and global stability of the dis- ease-free equilibrium were discussed. On this basis, the persistence of the disease was further con- sidered. By constructing Liapunov functions a sufficient condition of the global stability of endemic equilibrium was provided.
作者 翟院青 原三领 袁艳燕
机构地区 上海理工大学理学院
出处 《上海理工大学学报》 CAS 北大核心 2012年第3期267-271,共5页 Journal of University of Shanghai For Science and Technology
基金 国家自然科学基金资助项目(10871129) 上海市教委创新基金资助项目(09YZ208)
关键词 SIS流行病模型 地方病平衡点 持续性 全局渐近稳定 SIS epidemic model endemic equilibrium persistence global stability
分类号 O175.1 [理学—基础数学] N94 [自然科学总论—系统科学]
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参考文献5

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共引文献19

同被引文献15

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上海理工大学学报
2012年 第3期

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