纺织高校基础科学学报Issue(3):309-314,6.
一类带隔离项的具非线性传染率的SIQ 模型的全局分析
Global analysis of an SIQ epidemic model with non-linear incidence rate
摘要
Abstract
The global stability of an isolation SIQ epidemic mode with non-linear incidence rate is studied , and the basic reproduction number R0 was obtained .Based on the Lasalle invariance principle ,the global stability of the disease-free equilibrium was obtained .By means of point theorem and the distribution of equation root ,the existence and uniqueness of endemic equilibrium was obtained ,and the global stability of endemic equilibrium was proved by using theorem of extremal and Lyapunov function .关键词
隔离/非线性传染率/基本再生数/平衡点/全局稳定性Key words
isolation/non-linear incidence rate/basic reproduction number/equilibrium/global stability分类
数理科学引用本文复制引用
张静静,孙法国..一类带隔离项的具非线性传染率的SIQ 模型的全局分析[J].纺织高校基础科学学报,2014,(3):309-314,6.基金项目
陕西省自然科学基础研究计划资助项目 ()