Spreading speeds and traveling waves for abstract monostable evolution systems

被引：232

作者：

Liang, Xing ^{[2
]}

Zhao, Xiao-Qiang ^{[1
]}

机构：

[1] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

[2] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2010年 / 259卷 / 04期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Monotone semiflows; Spreading speeds; Traveling waves; Evolution systems; Periodic habitat; FRONT PROPAGATION; DIFFUSION; BEHAVIOR; GROWTH; MODELS;

D O I：

10.1016/j.jfa.2010.04.018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to the development of the theory of spreading speeds and traveling waves for abstract monostable evolution systems with spatial structure. Under appropriate assumptions, we show that the spreading speeds coincide with the minimal wave speeds for monotone traveling waves in the positive and negative directions. Then we use this theory to study the spatial dynamics of a parabolic equation in a periodic cylinder with the Dirichlet boundary condition, a reaction diffusion model with a quiescent stage, a porous medium equation in a tube, and a lattice system in a periodic habitat. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：857 / 903

页数：47

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