TRAVELING FRONTS OF PYRAMIDAL SHAPES IN COMPETITION-DIFFUSION SYSTEMS

被引：40

作者：

Ni, Wei-Ming ^{[1
,2
]}

Taniguchi, Masaharu ^{[3
]}

机构：

[1] E China Normal Univ, Ctr Partial Differential Equat, Shanghai 200241, Peoples R China

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

[3] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Tokyo 1528552, Japan

来源：

NETWORKS AND HETEROGENEOUS MEDIA | 2013年 / 8卷 / 01期

基金：

日本学术振兴会;

关键词：

Traveling front; pyramidal shapes; competition-diffusion system; CURVED FRONTS; GLOBAL STABILITY; EXISTENCE; WAVES;

D O I：

10.3934/nhm.2013.8.379

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is well known that a competition-diffusion system has a one-dimensional traveling front. This paper studies traveling front solutions of pyramidal shapes in a competition-diffusion system in R-N with N >= 2. By using a multi-scale method, we construct a suitable pair of a supersolution and a subsolution, and find a pyramidal traveling front solution between them.

引用

页码：379 / 395

页数：17

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