Spatial-temporal dynamics of a Lotka-Volterra competition model with nonlocal dispersal under shifting environment

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:267

Article

Wu, Chufen¹  Wang, Yang²  Zou, Xingfu² 

[1] Foshan Univ, Sch Math & Big Data, Foshan 528000, Peoples R China

[2] Western Univ, Dept Appl Math, London, ON N6A 5B7, Canada

关键词: Lotka-Volterra type competition;    Shifting environment;    Nonlocal dispersal;    Extinction;    Persistence;    Spreading speed;   

DOI  :  10.1016/j.jde.2019.05.019

来源: Elsevier

【 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.

【 授权许可】

Free