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DOI | 10.1016/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 |
ISSN | 0022-0396 |
EISSN | 1090-2732 |
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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