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具有病例失踪的结核病模型的全局稳定性
  • 期刊名称：洛阳师范学院学报
  • 时间：2012
  • 页码：5-9
  • 分类：O175[理学—数学;理学—基础数学]
  • 作者机构：西安工程大学理学院, 河南科技大学数学与统计学院
  • 相关基金：国家自然科学基金资助项目(11101323,11101127);陕西省自然科学基础研究计划资助项目(2014JQ1038)
  • 相关项目：流动人口中艾滋病时空传播规律的建模和研究
作者： 肖雪霞|郭玉玲|刘璐菊|
关键词： 肺结核, 接种, 全局稳定性, 基本再生数, 持久性
中文摘要：

研究一类具有卡介苗接种的SEIRV结核病模型的动力学行为,利用下代矩阵方法得到模型的基本再生数.借助线性化方法,Liapunov函数和LaSalle不变原理,证明了当基本再生数小于1时,无病平衡点是全局渐近稳定的.当基本再生数大于1时,给出了正平衡点的存在唯一性.同时利用持久性理论证明了模型的持久性.

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