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一类带有接种的传染病模型的全局性分析
  • 期刊名称：西北大学学报
  • 时间：0
  • 页码：729-731
  • 语言：中文
  • 分类：O175.1[理学—数学;理学—基础数学]
  • 作者机构：[1]西安交通大学理学院,陕西西安710049, [2]空军工程大学应用数学物理系,陕西西安710051
  • 相关基金：国家自然科学基金资助项目（10671209）;陕西省教育厅专项基金资助项目（08JK464）
  • 相关项目：具有时空滞后的反应扩散种群模型的建立与研究
作者： 杨亚莉,李建全,张吉广|
关键词： 传染病模型, 接种, 平衡点, 稳定性, epidemic model , basic reproduction number, vaccination , stability
中文摘要：

目的讨论一类带有接种和因病死亡的SIS-V传染病模型的全局稳定性。方法应用极限系统理论和构造Liapunov函数。结果得到了各类平衡点存在的闽值条件；无病平衡点和地方病平衡点全局渐近稳定的充分必要条件。结论基本再生数是决定疾病是否持续存在与灭绝的阈值。

英文摘要：

Aim To discuss global stability for an SIS-V epidemic model with vaccination and the disease-related death. Methods Using limit system theorem and constructing Lyapunov function. Results The threshold of the various equilibrium existence is found; the necessary and sufficient conditions that guarantee the global asymptotic stability of disease-free equilibrium and endemic equilibrium are obtained. Conclusion The basic reproduce number is proved to be a sharp threshold which completely determines the global dynamics and the outcome of the disease.

同期刊论文项目
具有时空滞后的反应扩散种群模型的建立与研究
期刊论文 60 会议论文 4
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