Full-Text Search:
Home|About CNKI|User Service|中文
Add to Favorite Get Latest Update

Stability and Hopf Bifurcation of an SIS Model with Species Logistic Growth and Saturating Infect Rate

Xu Weijian (Department of Mathematics and Computer Science,Yulin Normal University,Yulin 537000)  
In this paper,an SIS infective model with species Logistic growth and saturating infective rate is studied.The author discusses the existence and the globally asymptotical stability of the equilibrium,and obtains the threshold value at which disease is eliminated, which is just the basic rebirth number R_0=1.The author proves that when R_01,the non- disease equilibrium is globally asymptotically stable;when R_01 andαK≤1,the positive equilibrium is globally asymptotically stable;when R_01 and△=0,a Hopf bifurcation occurs near the positive equilibrium;when R_01 and△0,the system has a unique limit cycle which is stable near the outside of the positive equilibrium.
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
©CNKI All Rights Reserved