一类具有隔离干预的非线性传染率的传染病模型的全局稳定性分析(英文)  

Global Stability Analysis of an Isolation Epidemic Model with Nonlinear Incidence Rate

作　　者：杨秀香[1] 程远纪 薛春荣[1] 

机构地区：[1]渭南师范学院数学系,陕西渭南714000 [2]马尔默大学理工学院,瑞典马尔默se20506

出　　处：《生物数学学报》2012年第4期577-588,共12页Journal of Biomathematics

基　　金：Supported by Weinan Normal University(12YKF011)

摘　　要：研究一类具有隔离干预的非线性传染率的SIQR传染病模型的全局稳定性,得到了阈值R及无病平衡点和地方病平衡点的存在的条件,并利用构造李雅普诺夫函数证明无病平衡点和地方病平衡点的全局稳定性.In this paper we study the global stability of an isolation SIQR epidemic model with nonlinear incidence rate. We have obtained a threshold value R and shown that there is only a disease free equilibrium point when R 〉 1, and there is also an endemic equilibrium point if R 〈 1. With the help of Liapunov function, we have shown that disease free and endemic equilibrium point is globally stable.

关 键 词：隔离 非线性传染率 阈值 平衡点 全局稳定性 

分 类 号：O175[理学—数学]