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.
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页数：7
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