Existence of forced waves and gap formations for the lattice Lotka-Volterra competition system in a shifting environment

被引：16

作者：

Wang, Hongyong ^{[1
]}

Pan, Chaohong ^{[1
]}

Ou, Chunhua ^{[2
]}

机构：

[1] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China

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

来源：

APPLIED MATHEMATICS LETTERS | 2020年 / 106卷

基金：

加拿大自然科学与工程研究理事会; 中国国家自然科学基金;

关键词：

Lattice Lotka-Volterra system; Forced waves; Shifting habitat; Gap formation; FISHER-KPP EQUATION; TRAVELING-WAVES; CLIMATE; RESPONSES; DYNAMICS;

D O I：

10.1016/j.aml.2020.106349

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of forced traveling waves and gap formations for the lattice Lotka-Volterra competition system in a shifting habitat. By virtue of upper-lower solution method, we establish that the system admits a forced wave provided that the shifting speed of climate change falls in a certain interval. When the shifting speed is outside the range (except for the two endpoints), gap formations are then shown by theoretical proofs. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：7

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