Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (3): 349-356.

• Articles • Previous Articles     Next Articles

Global Stability on an SIS Epidemic Model with Time Delays

 YUAN San-Ling, MA Zhi-En, HAN Mao-An   

  • Online:2005-07-24 Published:2005-07-24
  • Supported by:

    国家自然科学基金和陕西省青年科学基金资助

Abstract:

In this paper, the authors  study an SIS epidemic model with a finite distribute d time del ay, 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.

Key words: Time delay, Liapunov functional, Endemic equilibrium, Disease free equilibrium; , Global stability.

CLC Number: 

  • 45J05
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