Asymptotic Spreading Speed for the Weak Competition System with a Free Boundary

Title
Asymptotic Spreading Speed for the Weak Competition System with a Free Boundary
Publication Date
2019-09
Author(s)
Wang, Zhiguo
Nie, Hua
Du, Yihong
( author )
OrcID: https://orcid.org/0000-0002-1235-0636
Email: ydu@une.edu.au
UNE Id une-id:ydu
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
AIMS Press
Place of publication
United States of America
DOI
10.3934/dcds.2019213
UNE publication id
une:1959.11/28556
Abstract
This paper is concerned with a diffusive Lotka-Volterra type competition system with a free boundary in one space dimension. Such a system may be used to describe the invasion of a new species into the habitat of a native competitor, and its long-time dynamical behavior can be described by a spreading-vanishing dichotomy. The main purpose of this paper is to determine the asymptotic spreading speed of the invading species when its spreading is successful, which involves two systems of traveling wave type equations.
Link
Citation
Discrete and Continuous Dynamical Systems. Series A, 39(9), p. 5223-5262
ISSN
1553-5231
1078-0947
Start page
5223
End page
5262

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