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^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

51 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1387-1401
Number of pages	15
Journal	Journal of Mathematical Analysis and Applications
Volume	323
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2005.11.065
Publication status	Published - 2006 Nov 15
Externally published	Yes

Keywords

A priori estimate
Bifurcation
Coexistence
Nonlinear diffusion
Prey-predator model
Steady state

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2005.11.065

Cite this

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title = "Positive steady states for a prey-predator model with some nonlinear diffusion terms",

abstract = "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.",

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

author = "Tomohito Kadota and Kousuke Kuto",

year = "2006",

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AU - Kuto, Kousuke

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AB - 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.

KW - A priori estimate

KW - Bifurcation

KW - Coexistence

KW - Nonlinear diffusion

KW - Prey-predator model

KW - Steady state

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M3 - Article

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JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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