Global stability analysis of DS-I-R model

摘要：

This paper investigates an SIR model with differential susceptibles.We derive an explicit formula for the basic reproductive number of infection for the investigated model by investigating the local stability of the infection-free equilibrium. We further prove that the infection-free equilibrium of this model is globally asymp- totically stable by qualitative analysis. By using an appropriate Liapunov function, we show that if the basic reproductive number is greater than one, there exists a unique endemic equilibrium for the system, and it is globally asymptotically stable

关键词： Disease-free equilibrium Endemic equilibrium Liapunov function

作者: Jianjun Jiao Lansun Chen Dongqing Xia

作者单位: School of Mathematics and Statistics, Guizhou College of Finance and Economics,Guiyang 50004, P. R.C Department of Applied Mathematics, Dalian University of Technology,Dalian 116024, P.R.China

会议类型: 国际会议

会议名称: The 1st International ELID-Grinding Conference(第一届镜面磨削技术国际会议)

会议地点: 长沙

会议语种:英文

页码: 235-240

在线出版日期: 2008-06-12（万方平台首次上网日期，不代表论文的发表时间）