Minimal-speed selection of traveling waves to the Lotka-Volterra competition model

被引:64
作者
Alhasanat, Ahmad [1 ,2 ]
Ou, Chunhua [1 ]
机构
[1] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada
[2] Al Hussein Bin Talal Univ, Dept Math & Stat, Maan, Jordan
基金
加拿大自然科学与工程研究理事会; 芬兰科学院; 欧洲研究理事会;
关键词
Lotka-Volterra; Traveling waves; Speed selection; LINEAR DETERMINACY; SPREAD; FRONTS;
D O I
10.1016/j.jde.2018.12.003
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper the minimal-speed determinacy of traveling wave fronts of a two-species competition model of diffusive Lotka-Volterra type is investigated. First, a cooperative system is obtained from the classical Lotka-Volterra competition model. Then, we apply the upper-lower solution technique on the cooperative system to study the traveling waves as well as its minimal-speed selection mechanisms: linear or nonlinear. New types of upper and lower solutions are established. Previous results for the linear speed selection are extended, and novel results on both linear and nonlinear selections are derived. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码:7357 / 7378
页数:22
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