GLOBAL STABILITY AND HOPF BIFURCATION OF AN SIS EPIDEMIC MODEL WITH TIME DELAYS  

作　　者：YUAN Sanling MA Zhien (Department of Applied Mathematics, Xi’an Jiaotong University, Xi’an 710049, China) 

出　　处：《Journal of Systems Science & Complexity》2001年第3期327-336,共10页系统科学与复杂性学报（英文版）

基　　金：This research is supported by the National Natural Science Foundation of China(No. 19971066).

摘　　要：An SIS epidemic model with a discrete delay has been investigated in this article. By means of Liapunov functional, some sufficient conditions of global stability to endemic equilibrium and disease free equilibrium have been obtained. The influence of time delay on the stability of equilibria is displayed. The switch of stability and the Hopf bifurcation from the endemic equilibrium have been discussed.An SIS epidemic model with a discrete delay has been investigated in this article. By means of Liapunov functional, some sufficient conditions of global stability to endemic equilibrium and disease free equilibrium have been obtained. The influence of time delay on the stability of equilibria is displayed. The switch of stability and the Hopf bifurcation from the endemic equilibrium have been discussed.

关 键 词：Time delay LIAPUNOV functional EQUILIBRIA global stability bifurcation. 

分 类 号：O175[理学—数学]