2種競争系の解構造について

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概要

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• We often study the existence and stability for equilibria of the reaction-diffusion system with suitable initial condition to understand the mechanism of phenomena which appear in various fields. In 1952, A. Turing developed a theory of pattern formation which is called Turing instability, by using the 2-component reaction-diffusion system and the linear analysis to determine conditions where spatially homogeneous equilibria are destabilized. Since the Turing instability suggests the multiple existence of equilibria, one important problem is to find out all equilibria of the system and study their stability properties. In this paper, as a first step to approach the problem, we consider a two competing species system with diffusion, and discuss the global bifurcation structure for radially symmetric equilibria of the system, by employing the comparison principle, the bifurcation theory and the numerical verification method.

• 日本応用数理学会の論文
• 2009-09-25

著者

• 観音 幸雄

  愛媛大学教育学部

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• Bifurcation structure of stationary solutions of a Lotka-Volterra competition model with diffusion (Mathematical models and dynamics of functional equations)
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