兰州大学机构库
Propagation Phenomena for a Nonlocal Dispersal Lotka-Volterra Competition Model in Shifting Habitats
Dong, Fang-Di1; Li, WT(李万同)2; Wang, Jia-Bing3,4
2022
Online publication date2022-01
Source PublicationJournal of Dynamics and Differential Equations   Impact Factor & Quartile
ISSN1040-7294
EISSN1572-9222
page numbers29
AbstractThis paper is concerned with the propagation phenomena for a nonlocal dispersal Lotka-Volterra competition model with shifting habitats. It is assumed that the growth rate of each species is nondecreasing along the x-axis, positive near infinity and nonpositive near -infinity, and shifting rightward with a speed c > 0. In the case where both species coexist near infinity, we established three types of forced waves connecting the origin, respectively to the coexistence state with any forced speed c; to itself with forced speed c > c* (infinity); and to a semi-trivial steady state with forced speed c > (c) over bar(infinity), where c*(infinity) and (c) over bar(infinity) are two positive numbers. In the case where one species is competitively stronger near infinity, we also obtain the existence and nonexistence of forced waves connecting the origin to the semi-trivial steady state. Our results show the existence of multiple types of forced waves with the same forced speed. The mathematical proofs involve integral equations and Schauder's fixed point theorem, and heavily rely on the construction of various upper-lower solutions, which adds new techniques to deal with the shifting environments problem.
KeywordNonlocal dispersal Shifting habitats Competition models Forced waves
PublisherSPRINGER
DOI10.1007/s10884-021-10116-z
Indexed BySCIE
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000745777100002
Original Document TypeArticle ; Early Access
Citation statistics
Cited Times:7[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttps://ir.lzu.edu.cn/handle/262010/476565
Collection兰州大学
数学与统计学院
Corresponding AuthorLi, Wan-Tong
Affiliation
1.Hangzhou Normal Univ, Sch Math, Hangzhou 310036, Peoples R China;
2.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China;
3.China Univ Geosci, Sch Math & Phys, Wuhan 430074, Peoples R China;
4.China Univ Geosci, Ctr Math Sci, Wuhan 430074, Peoples R China
Corresponding Author AffilicationSchool of Mathematics and Statistics
Recommended Citation
GB/T 7714
Dong, Fang-Di,Li, Wan-Tong,Wang, Jia-Bing. Propagation Phenomena for a Nonlocal Dispersal Lotka-Volterra Competition Model in Shifting Habitats[J]. Journal of Dynamics and Differential Equations,2022.
APA Dong, Fang-Di,Li, Wan-Tong,&Wang, Jia-Bing.(2022).Propagation Phenomena for a Nonlocal Dispersal Lotka-Volterra Competition Model in Shifting Habitats.Journal of Dynamics and Differential Equations.
MLA Dong, Fang-Di,et al."Propagation Phenomena for a Nonlocal Dispersal Lotka-Volterra Competition Model in Shifting Habitats".Journal of Dynamics and Differential Equations (2022).
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Altmetrics Score
Google Scholar
Similar articles in Google Scholar
[Dong, Fang-Di]'s Articles
[Li, Wan-Tong]'s Articles
[Wang, Jia-Bing]'s Articles
Baidu academic
Similar articles in Baidu academic
[Dong, Fang-Di]'s Articles
[Li, Wan-Tong]'s Articles
[Wang, Jia-Bing]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Dong, Fang-Di]'s Articles
[Li, Wan-Tong]'s Articles
[Wang, Jia-Bing]'s Articles
Terms of Use
No data!
Social Bookmark/Share
No comment.
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.