Differential and Integral Equations

On the Lotka-Volterra competition model in symmetric domains

Changfeng Gui

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We study the existence of multiple co-existence states of the Lotka-Volterra competition model in symmetric domains. We also investigate the stability of these states in various senses. Our method can also be used in the study of periodic solutions.

Article information

Differential Integral Equations, Volume 8, Number 8 (1995), 2079-2096.

First available in Project Euclid: 20 May 2013

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35K57: Reaction-diffusion equations
Secondary: 35B10: Periodic solutions 35Q80: PDEs in connection with classical thermodynamics and heat transfer 92B05: General biology and biomathematics


Gui, Changfeng. On the Lotka-Volterra competition model in symmetric domains. Differential Integral Equations 8 (1995), no. 8, 2079--2096. https://projecteuclid.org/euclid.die/1369056141

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