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.
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页码：1 / 23
页数：23
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