Concentration phenomena of a semilinear elliptic equation with large advection in an ecological model

被引：56

作者：

Lam, King-Yeung ^{[1
]}

机构：

[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年 / 250卷 / 01期

关键词：

Concentration phenomenon; Large advection; Limiting profile; Mathematical ecology; EVOLUTION; ENVIRONMENTS; DISPERSAL; MOVEMENT;

D O I：

10.1016/j.jde.2010.08.028

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a reaction-diffusion-advection equation arising from a biological model of migrating species The qualitative properties of the globally attracting solution are studied and in some cases the limiting profile is determined In particular a conjecture of Cantrell Cosner and Lou on concentration phenomena is resolved under mild conditions Applications to a related parabolic competition system are also discussed (C) 2010 Elsevier Inc All rights reserved

引用

页码：161 / 181

页数：21

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