摘要
研究具有隐性传染和隔离措施的手足口病模型,计算模型的基本再生数.结果表明,当基本再生数小于1时,模型仅有唯一的无病平衡点,利用线性化方法和Lyapunov函数方法,讨论无病平衡点的全局渐近稳定性.当基本再生数大于1时,无病平衡点不稳定,模型还存在唯一的地方病平衡点,通过构造合适的Lyapunov函数证明地方病平衡点的全局渐近稳定性.
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.
出处
《纺织高校基础科学学报》
CAS
2017年第1期29-34,共6页
Basic Sciences Journal of Textile Universities
基金
国家自然科学基金资助项目(11101323)
陕西省自然科学基础研究计划项目(2014JQ1038)
陕西省教育厅专项科研计划项目(16JK1331)
