| 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 |
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| 引用本文： | 翟院青,原三领,袁艳燕. 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[J]. 上海理工大学学报, 2012, 34(3): 267-271 |
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| 作者姓名： | 翟院青 原三领 袁艳燕 |
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| 作者单位： | 上海理工大学理学院,上海,200093 |
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| 基金项目： | 国家自然科学基金，上海市教委创新基金 |
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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.
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| 关 键 词： | SIS流行病模型 地方病平衡点 持续性 全局渐近稳定 |
Global Stability of SIS Epidemiologic Model with Delay and Variable Population Size |
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| ZHAI Yuan qing,YUAN San ling and YUAN Yan yan. Global Stability of SIS Epidemiologic Model with Delay and Variable Population Size[J]. Journal of University of Shanghai For Science and Technology, 2012, 34(3): 267-271 |
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| Authors: | ZHAI Yuan qing YUAN San ling YUAN Yan yan |
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| Affiliation: | (College of Science,Shanghai University for Science and Technology,Shanghai 200093,China) |
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| Abstract: | 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 disease free equilibrium were discussed.On this basis,the persistence of the disease was further considered.By constructing Liapunov functions a sufficient condition of the global stability of endemic equilibrium was provided. |
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| Keywords: | SIS epidemic model endemic equilibrium persistence global stability |
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