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一类含时滞的SIQR流行病模型研究
  • 期刊名称：上海理工大学学报
  • 时间：0
  • 页码：230-234
  • 语言：中文
  • 分类：O175.1[理学—数学;理学—基础数学]
  • 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）;上海市教委科研基金资助项目（05EZ51）
  • 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|李盼|赵瑜|
关键词： SIQR模型, 平衡点, Lyapunov函数, 稳定性, 周期解, SIQR model, equilibrium , Lyapunov function , stability , periodic solution
中文摘要：

将对病人的隔离期作为时滞因素，考虑了一类含时滞的SIQR（susceptible infectives quarantine removed）流行病模型．通过构造恰当的Lyapunov函数，得到了无病平衡点全局稳定以及地方病平衡点局部稳定的结论，讨论了系统周期解的存在条件．

英文摘要：

An SIQR （susceptible infectives quarantine removed） epidemic model with a delay corresponding to the quarantine period was considered. By means of constructing proper Lyapunov functions, the results of the global stability of disease free equilibrium and the local stability of epidemic equilibrium were obtained. Furthermore, the conditions under which periodic solution exists for the model were discussed.

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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