UNIQUENESS AND GLOBAL STABILITY OF FORCED WAVES IN A SHIFTING ENVIRONMENT

被引：80

作者：

Wang, Jia-Bing ^{[1
,2
]}

Zhao, Xiao-Qiang ^{[2
]}

机构：

[1] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Hubei, Peoples R China

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

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 147卷 / 04期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Nonlocal Fisher-KPP equation; shifting environment; uniqueness of forced waves; global stability; TRAVELING-WAVES; EQUATIONS; CLIMATE; COMPETITION; PERSISTENCE; EXTINCTION; EXISTENCE; TIME;

D O I：

10.1090/proc/14235

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the uniqueness and global stability of forced extinction waves for the nonlocal dispersal Fisher-KPP equation in a shifting environment where the favorable habitat is shrinking. Specifically, we first obtain the uniqueness by using the sliding technique and then establish the global exponential stability via the monotone semiflows approach combined with the method of super- and subsolutions. Our developed arguments can also be used to prove the same conclusion for the corresponding random diffusion problem.

引用

页码：1467 / 1481

页数：15

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