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

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...

Full description

Saved in:
Bibliographic Details
Published inJournal of Differential Equations Vol. 267; no. 8; pp. 4890 - 4921
Main Authors Wu, Chufen, Wang, Yang, Zou, Xingfu
Format Journal Article
LanguageEnglish
Published Elsevier Inc 05.10.2019
Subjects
Extinction
Lotka-Volterra type competition
Nonlocal dispersal
Persistence
Shifting environment
Spreading speed
Persistence
Nonlocal dispersal
92D25
Extinction
Lotka-Volterra type competition
Shifting environment
45K05
35B40
92D40
Spreading speed
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2019.05.019