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

San Ling YUAN;Zhi En MA

Journal of Systems Science & Complexity ›› 2001, Vol. 14 ›› Issue (3) : 327-336.

PDF(446 KB)
PDF(446 KB)
Journal of Systems Science & Complexity ›› 2001, Vol. 14 ›› Issue (3) : 327-336.
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GLOBAL STABILITY AND HOPF BIFURCATION OF AN SIS EPIDEMIC MODEL WITH TIME DELAYS

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Abstract

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 influen of time delay on the stability of equilibria is displayed.

Key words

Time delay / Liapunov functional / equilibria / global stability / bifurcation

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San Ling YUAN , Zhi En MA. GLOBAL STABILITY AND HOPF BIFURCATION OF AN SIS EPIDEMIC MODEL WITH TIME DELAYS. Journal of Systems Science and Complexity, 2001, 14(3): 327-336
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