Positive steady states for a prey-predator model with some nonlinear diffusion terms

Tomohito Kadota; Kousuke Kuto

doi:10.1016/j.jmaa.2005.11.065

Positive steady states for a prey-predator model with some nonlinear diffusion terms

Tomohito Kadota, Kousuke Kuto^*

^*この研究の対応する著者

研究成果: Article › 査読

52 被引用数 (Scopus)

抄録

This paper discusses a prey-predator system with strongly coupled nonlinear diffusion terms. We give a sufficient condition for the existence of positive steady state solutions. Our proof is based on the bifurcation theory. Some a priori estimates for steady state solutions will play an important role in the proof.

本文言語	English
ページ（範囲）	1387-1401
ページ数	15
ジャーナル	Journal of Mathematical Analysis and Applications
巻	323
号	2
DOI	https://doi.org/10.1016/j.jmaa.2005.11.065
出版ステータス	Published - 2006 11月 15
外部発表	はい

ASJC Scopus subject areas

分析
応用数学

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10.1016/j.jmaa.2005.11.065

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keywords = "A priori estimate, Bifurcation, Coexistence, Nonlinear diffusion, Prey-predator model, Steady state",

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KW - A priori estimate

KW - Bifurcation

KW - Coexistence

KW - Nonlinear diffusion

KW - Prey-predator model

KW - Steady state

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Positive steady states for a prey-predator model with some nonlinear diffusion terms

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