Stability of Traveling Waves to the Lotka-Volterra Competition Model-Reference-Cited by-同舟云学术

Stability of Traveling Waves to the Lotka-Volterra Competition Model

Published:2019-01-01 Issue: Volume:2019 Page:1-11
ISSN:1076-2787
Container-title:Complexity
language:en
Short-container-title:Complexity

Author:

Alhasanat Ahmad¹²^ORCID,Ou Chunhua¹^ORCID

Affiliation:

1. Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, Newfoundland, Canada A1C 5S7

2. Department of Mathematics and Statistics, Al-Hussein Bin Talal University, Ma’an, Jordan

Abstract

In this paper, the stability of traveling wave solutions to the Lotka-Volterra diffusive model is investigated. First, we convert the model into a cooperative system by a special transformation. The local and the global stability of the traveling wavefronts are studied in a weighted functional space. For the global stability, comparison principle together with the squeezing technique is applied to derive the main results.

Funder

Natural Sciences and Engineering Research Council of Canada

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

Link

http://downloads.hindawi.com/journals/complexity/2019/6569520.pdf

Reference36 articles.

1. On the spatial spread of the grey squirrel in Britain

2. Mathematical Biology

3. Fisher wave fronts for the Lotka-Volterra competition model with diffusion