MONOSTABLE WAVEFRONTS IN COOPERATIVE LOTKA-VOLTERRA SYSTEMS WITH NONLOCAL DELAYS

被引：15

作者：

Lin, Guo ^{[1
]}

Li, Wan-Tong ^{[1
]}

Ruan, Shigui ^{[2
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

[2] Univ Miami, Dept Math, Coral Gables, FL 33124 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2011年 / 31卷 / 01期

基金：

美国国家科学基金会;

关键词：

Comparison principle; nonlocal delay; monostable system; linear determinate conjecture; minimal wave speed; asymptotic stability; REACTION-DIFFUSION SYSTEMS; FUNCTIONAL-DIFFERENTIAL EQUATIONS; TRAVELING-WAVES; ASYMPTOTIC SPEEDS; STABILITY; EXISTENCE; SPREAD; UNIQUENESS; DYNAMICS;

D O I：

10.3934/dcds.2011.31.1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with traveling wavefronts in a Lotka-Volterra model with nonlocal delays for two cooperative species. By using comparison principle, some existence and nonexistence results are obtained. If the wave speed is larger than a threshold which can be formulated in terms of basic parameters, we prove the asymptotic stability of traveling wavefronts by the spectral analysis method together with squeezing technique.

引用

页码：1 / 23

页数：23

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