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Existence, uniqueness and stability of forced waves to the Lotka-Volterra competition system in a shifting environment

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成果类型:
期刊论文
作者:
Wang, Hongyong;Pan, Chaohong;Ou, Chunhua
通讯作者:
Chunhua Ou
作者机构:
[Pan, Chaohong; Wang, Hongyong] Univ South China, Sch Math & Phys, Hengyang, Peoples R China.
[Ou, Chunhua] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada.
通讯机构:
[Chunhua Ou] D
Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland, Canada
语种:
英文
关键词:
forced waves;Lotka-Volterra system;shifting habitat
期刊:
STUDIES IN APPLIED MATHEMATICS
ISSN:
0022-2526
年:
2022
卷:
148
期:
1
页码:
186-218
基金类别:
Scientific Research Fund of Hunan Provincial Education DepartmentHunan Provincial Education Department [20B512]; National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11626129, 11801263]; Natural Science Foundation of Hunan ProvinceNatural Science Foundation of Hunan Province [2018JJ3418]; Canada NSERCNatural Sciences and Engineering Research Council of Canada (NSERC) [RGPIN2016-04709]
机构署名:
本校为第一机构
院系归属:
数理学院
摘要:
We studied the existence, uniqueness, and stability of forced traveling waves for the Lotka–Volterra competition system in a shifting habitat. Based on the asymptotic behaviors of the wave profiles and by means of upper–lower solution method coupled with sliding technique, we showed that the forced wave for the system exists and is unique, when the forced speed lies in a specific interval. Explicit expressions of the two end pointsof this interval were derived and our finding indicated that they are related to the Fisher-KPP-type invasion spe...

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