纺织高校基础科学学报2017，Vol.30Issue(1)：29-34,6.DOI:10.13338/j.issn.1006-8341.2017.01.006
一类手足口病模型的全局稳定性分析
Global stability analysis of a class of hand-foot-mouth disease model
摘要
Abstract
To study a hand-foot-mouth disease model with recessive infection and quarantine measure,the basic reproduction number is obtained.The result show that when the basic reproduction number is less than unity,there is only the disease free equilibrium,by the linearization and Lyapunov function methods,the global stability of the disease-free equilibrium is discussed.When the basic reproduction number is great than unity,the disease free equilibrium is unstable,there is also an endemic equilibrium,appropriate Lyapunov function is constructed to prove the global stability of the endemic equilibrium.关键词
手足口病/基本再生数/全局稳定性/Lyapunov函数Key words
hand-foot-mouth disease/basic reproduction number/global stability/Lyapunov function分类
数理科学引用本文复制引用
刘俊利,刘文娟..一类手足口病模型的全局稳定性分析[J].纺织高校基础科学学报,2017,30(1):29-34,6.基金项目
国家自然科学基金资助项目(11101323) （11101323）
陕西省自然科学基础研究计划项目(2014JQ1038) （2014JQ1038）
陕西省教育厅专项科研计划项目(16JK1331) （16JK1331）
