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DOI10.1016/j.jde.2019.05.0190022
Spatial-temporal dynamics of a Lotka-Volterra competition model with nonlocal dispersal under shifting environment
Wu, Chufen1; Wang, Yang2; Zou, Xingfu2
发表日期2019
ISSN0022-0396
EISSN1090-2732
卷号267期号:8页码:4890-4921
英文摘要

We consider a competitive system with nonlocal dispersals in a 1-dimensional environment that is worsening with a constant speed, reflected by two shifting growth functions. By analyzing the spatial-temporal dynamics of the model system, we are able to identify certain ranges for the worsening speed c, respectively for (i) extinction of both species; (ii) extinction of one species but persistence of the other; (iii) persistence of both species. In the case of persistence of a species, it is achieved through spreading to the direction of favorable environment with certain speed(s), and some estimates of these speeds are also obtained. We also present some numeric simulation results which confirm our theoretical results, and in the mean time, motivate some challenging problems for future work. (C) 2019 Elsevier Inc. All rights reserved.


WOS研究方向Mathematics
来源期刊JOURNAL OF DIFFERENTIAL EQUATIONS
文献类型期刊论文
条目标识符http://gcip.llas.ac.cn/handle/2XKMVOVA/103179
作者单位1.Foshan Univ, Sch Math & Big Data, Foshan 528000, Peoples R China;
2.Western Univ, Dept Appl Math, London, ON N6A 5B7, Canada
推荐引用方式
GB/T 7714
Wu, Chufen,Wang, Yang,Zou, Xingfu. Spatial-temporal dynamics of a Lotka-Volterra competition model with nonlocal dispersal under shifting environment[J],2019,267(8):4890-4921.
APA Wu, Chufen,Wang, Yang,&Zou, Xingfu.(2019).Spatial-temporal dynamics of a Lotka-Volterra competition model with nonlocal dispersal under shifting environment.JOURNAL OF DIFFERENTIAL EQUATIONS,267(8),4890-4921.
MLA Wu, Chufen,et al."Spatial-temporal dynamics of a Lotka-Volterra competition model with nonlocal dispersal under shifting environment".JOURNAL OF DIFFERENTIAL EQUATIONS 267.8(2019):4890-4921.
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