一类带有饱和感染率的时滞SIR传染病模型研究(英文)  

Studies on a Delayed SIR Epidemic Model with Saturated Rate

作　　者：王霞[1] 郭红涛[1] 

机构地区：[1]信阳师范学院数学与信息科学学院,河南信阳464000

出　　处：《信阳师范学院学报（自然科学版）》2011年第4期421-424,435,共5页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：The National Natural Science Foundation of China(10771179);the Scientific and Technological Project of Henan Province(092102210070);the Youth Science Foundations of Xinyang Normal University(20100070);the Young Backbone Teacher Foundation of the Education Department of Henan Province(2010GGJS-104)and Xinyang Normal University

摘　　要：介绍一类带有饱和感染率的时滞SIR传染病模型,通过构造Lyapunov函数,研究了该模型平衡点的局部稳定性以及时滞对基本再生数的影响.A delayed SIR epidemic model with saturated rate is introduced. The local stabilities of its equilibria as well as the effects of delay on the reproduction number of the model are studied by constructing Lyapunov function.

关 键 词：SIR传染病模型 时滞 平衡点 稳定性 LYAPUNOV函数 

分 类 号：O175.1[理学—数学]