Effect of cross-diffusion on the stationary problem of a prey-predator model with a protection zone

Kazuhiro Oeda*

*この研究の対応する著者

研究成果: Article査読

48 被引用数 (Scopus)

抄録

This paper is concerned with the stationary problem of a prey-predator cross-diffusion system with a protection zone for the prey. We discuss the existence and non-existence of coexistence states of the two species by using the bifurcation theory. As a result, it is shown that the cross-diffusion for the prey has beneficial effects on the survival of the prey when the intrinsic growth rate of the predator is positive. We also study the asymptotic behavior of positive stationary solutions as the cross-diffusion coefficient of the prey tends to infinity.

本文言語English
ページ(範囲)3988-4009
ページ数22
ジャーナルJournal of Differential Equations
250
10
DOI
出版ステータスPublished - 2011 5 15

ASJC Scopus subject areas

  • 分析

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