Limiting characterization of stationary solutions for a prey-predator model with nonlinear diffusion of fractional type

Kousuke Kuto; Yoshio Yamada

Limiting characterization of stationary solutions for a prey-predator model with nonlinear diffusion of fractional type

研究成果: Article › 査読

抄録

We consider the following quasilinear elliptic system: (EQUATION PRESENT) where Ω is a bounded domain in ℝ. This system is a stationary problem of a prey-predator model with non-linear diffusion δ(^v/ _1+βu ), and u (respectively v) denotes the population density of the prey (respectively the predator). Kuto [15] has studied this system for large β under the restriction b > (1 + γ)λ₁, where λ₁ is the least eigenvalue of -δ with homogeneous Dirichlet boundary condition. The present paper studies two shadow systems and gives the complete limiting characterization of positive solutions as β → ∞ without any restriction on b.

本文言語	English
ページ（範囲）	725-752
ページ数	28
ジャーナル	Differential and Integral Equations
巻	22
号	7-8
出版ステータス	Published - 2009 7 1
外部発表	はい

ASJC Scopus subject areas

Analysis
Applied Mathematics

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引用スタイル

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