Multiple stable patterns for some reaction-diffusion equation in disrupted environments

Takanori Ide, Kazuhiro Kurata, Kazunaga Tanaka

研究成果: Article査読

抄録

We study the existence of multiple positive stable solutions for -ε2Δu(x) = u(x)2(b(x) - u(x)) in Ω, ∂u/∂n(x) = 0 on ∂Ω. Here ε > 0 is a small parameter and b(x) is a piecewise continuous function which changes sign. These type of equations appear in a population growth model of species with a saturation effect in biology.

本文言語English
ページ(範囲)93-116
ページ数24
ジャーナルDiscrete and Continuous Dynamical Systems
14
1
DOI
出版ステータスPublished - 2006 1

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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