Global stability analysis of DS-I-R model
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
Disease-free equilibrium Endemic equilibrium Liapunov function
Jianjun Jiao Lansun Chen Dongqing Xia
School of Mathematics and Statistics, Guizhou College of Finance and Economics,Guiyang 550004, P. R. Department of Applied Mathematics, Dalian University of Technology,Dalian 116024, P.R.China
国际会议
山东泰安
英文
235-240
2008-07-25（万方平台首次上网日期，不代表论文的发表时间）