THE GLOBAL STABILITY OF CONSTANT EQUILIBRIUM OF REACTION-DIFFUSION SYSTEMS——DIFFERENTIAL INEQUALITIES AND LIAPUNOV FUNCTIONAL

Ying Dong LIU;Zheng Yuan LI;Qi Xiao YE

Journal of Systems Science & Complexity ›› 2002, Vol. 15 ›› Issue (1) : 89-101.

PDF(518 KB)
PDF(518 KB)
Journal of Systems Science & Complexity ›› 2002, Vol. 15 ›› Issue (1) : 89-101.
article

THE GLOBAL STABILITY OF CONSTANT EQUILIBRIUM OF REACTION-DIFFUSION SYSTEMS——DIFFERENTIAL INEQUALITIES AND LIAPUNOV FUNCTIONAL

  • Ying Dong LIU(1),Zheng Yuan LI(1),Qi Xiao YE(2)
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Abstract

In this paper methods of differential inequalities and Liapunov functionals for proving the global stability of constant equilibria of reaction-diffusion systems are given, and examples for showing how to use these methods are also given.

Key words

Global stability / differential inequalities / Liapunovfunctionals.

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Ying Dong LIU , Zheng Yuan LI , Qi Xiao YE. THE GLOBAL STABILITY OF CONSTANT EQUILIBRIUM OF REACTION-DIFFUSION SYSTEMS——DIFFERENTIAL INEQUALITIES AND LIAPUNOV FUNCTIONAL. Journal of Systems Science and Complexity, 2002, 15(1): 89-101
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