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

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:266

Article

Alhasanat, Ahmad^1,2  Ou, Chunhua¹ 

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

[2] Al Hussein Bin Talal Univ, Dept Math & Stat, Maan, Jordan

关键词: Lotka-Volterra;    Traveling waves;    Speed selection;   

DOI  :  10.1016/j.jde.2018.12.003

来源: Elsevier

【 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.

【 授权许可】

Free