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《Acta Mathematiea Scientia》 2005-03
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Global Stability on an SIS Epidemic Model with Time Delays

Yuan Sanling~1 Ma Zhien~2 Han Maoan~3(~1College of Science, University of Shanghai for Science and Technology, Shanghai 200093)(~2Department of Applied Mathematics, Xi′an Jiaotong University, Xi′an 710049)(~3Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030)  
In this paper, the authors study an SIS epidemic model with a finite distributed time delay, 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.
【Fund】: 国家自然科学基金;; 陕西省青年科学基金资助
【CateGory Index】: R181.3
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