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GLOBAL ASYMPTOTIC STABILITY FOR A DIFFUSION LOTKA-VOLTERRA COMPETITION SYSTEM WITH TIME DELAYS

Jia-Fang Zhang|Ping-An Zhang
대한수학회 (The Korean Mathematical Society)|2012.12|대한수학회보 (Bulletin of the KMS)|제49권 제6호|pp. 1255-1262

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참고문헌

키워드

Lyapunov functiondelaysglobal asymptotic stability
주제분류수학

초록

A type of delayed Lotka-Volterra competition reaction-diffu\-sion system is considered. By constructing a new Lyapunov function, we prove that the unique positive steady-state solution is globally asymptotically stable when interspecies competition is weaker than intraspecies competition. Moreover, we show that the stability property does not depend on the diffusion coefficients and time delays.

Abstract

A type of delayed Lotka-Volterra competition reaction-diffu\-sion system is considered. By constructing a new Lyapunov function, we prove that the unique positive steady-state solution is globally asymptotically stable when interspecies competition is weaker than intraspecies competition. Moreover, we show that the stability property does not depend on the diffusion coefficients and time delays.

참고문헌 (21)

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