TRAVELING WAVES AND THEIR STABILITY IN A COUPLED REACTION DIFFUSION SYSTEM

被引：10

作者：

Hou, Xiaojie ^{[1
]}

Feng, Wei ^{[1
]}

机构：

[1] UNC Wilmington, Dept Math & Stat, Wilmington, NC 28403 USA

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2011年 / 10卷 / 01期

关键词：

Traveling wave; existence; asymptotic rates; uniqueness; spectrum; stability; FISHER-TYPE EQUATIONS; PUBLIC-GOODS GAMES; MATHEMATICAL-ANALYSIS; EXISTENCE; SPEED; MODEL; PROPAGATION; FRONTS;

D O I：

10.3934/cpaa.2011.10.141

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the traveling wave solutions to a reaction diffusion system modeling the public goods game with altruistic behaviors. The existence of the waves is derived through monotone iteration of a pair of classical upper and lower solutions. The waves are shown to be unique and strictly monotonic. A similar KPP wave like asymptotic behaviors are obtained by comparison principle and exponential dichotomy. The stability of the traveling waves with non-critical speed is investigated by spectral analysis in the weighted Banach spaces.

引用

页码：141 / 160

页数：20

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