Stability of steady-state solutions to a prey-predator system with cross-diffusion

Kousuke Kuto*

*この研究の対応する著者

研究成果: Article査読

82 被引用数 (Scopus)

抄録

This paper is concerned with a cross-diffusion system arising in a prey-predator population model. The main purpose is to discuss the stability analysis for coexistence steady-state solutions obtained by Kuto and Yamada (J. Differential Equations, to appear). We will give some criteria on the stability of these coexistence steady states. Furthermore, we show that the Hopf bifurcation phenomenon occurs on the steady-state solution branch under some conditions.

本文言語English
ページ(範囲)293-314
ページ数22
ジャーナルJournal of Differential Equations
197
2
DOI
出版ステータスPublished - 2004 3月 1

ASJC Scopus subject areas

  • 分析
  • 応用数学

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