The threshold analysis of SIS epidemic model
This paper is concerned with the threshold of SIS epidemic model and the stability of the equilibrium point of disease eliminate. Then, exert isolate control on the model, Lyapunov function is constructed. By using theorem of Lyapunov stability, reach a conclusion that the model is globally asymptotically stable at the equilibrium point of disease eliminate under the control, and obtained the eventual conditions of removing the disease. Simulation result shows the validity and effectiveness of this method.
equilibrium point of disease eliminate threshold isolate control globally asymptotic Stability
Hongjun Guan Ju Pan
School of Sciences, Shenyang University, Shenyang 110004, China
国际会议
山东泰安
英文
191-194
2008-07-25（万方平台首次上网日期，不代表论文的发表时间）