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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
  • 期刊名称：上海理工大学学报
  • 时间：0
  • 页码：495-504
  • 语言：中文
  • 分类：O175.1[理学—数学;理学—基础数学] N94[自然科学总论—系统科学]
  • 作者机构：[1]上海理工大学理学院,上海200093
  • 相关基金：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）
  • 相关项目：重组质粒DNA细胞培养的反应动力学模型研究
作者： 原三领|翟院青|袁艳燕|
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
中文摘要：

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.

英文摘要：

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.

同期刊论文项目
重组质粒DNA细胞培养的反应动力学模型研究
期刊论文 56 会议论文 2
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