Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/28556
Title: Asymptotic Spreading Speed for the Weak Competition System with a Free Boundary
Contributor(s): Wang, Zhiguo (author); Nie, Hua (author); Du, Yihong  (author)orcid 
Publication Date: 2019-09
DOI: 10.3934/dcds.2019213
Handle Link: https://hdl.handle.net/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.
Publication Type: Journal Article
Grant Details: ARC/11671243
Source of Publication: Discrete and Continuous Dynamical Systems. Series A, 39(9), p. 5223-5262
Publisher: AIMS Press
Place of Publication: United States of America
ISSN: 1553-5231
1078-0947
Fields of Research (FoR) 2008: 010110 Partial Differential Equations
010202 Biological Mathematics
Fields of Research (FoR) 2020: 490102 Biological mathematics
490410 Partial differential equations
Socio-Economic Objective (SEO) 2008: 970101 Expanding Knowledge in the Mathematical Sciences
Socio-Economic Objective (SEO) 2020: 280118 Expanding knowledge in the mathematical sciences
Peer Reviewed: Yes
HERDC Category Description: C1 Refereed Article in a Scholarly Journal
Appears in Collections:Journal Article
School of Science and Technology

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