Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/20227
Title: Asymptotic Profile of the Solution to a Free Boundary Problem Arising in a Shifting Climate Model
Contributor(s): Lei, Chengxia (author); Du, Yihong  (author)orcid 
Publication Date: 2017
DOI: 10.3934/dcdsb.2017045
Handle Link: https://hdl.handle.net/1959.11/20227
Abstract: We give a complete description of the long-time asymptotic profile of the solution to a free boundary model considered recently in [10]. This model describes the spreading of an invasive species in an environment which shifts with a constant speed, and the research of [10] indicates that the species may vanish, or spread successfully, or fall in a borderline case. In the case of successful spreading, the long-time behavior of the population is not completely understood in [10]. Here we show that the spreading of the species is governed by two traveling waves, one has the speed of the shifting environment, giving the profile of the retreating tail of the population, while the other has a faster speed determined by a semi-wave, representing the profile of the advancing front of the population.
Publication Type: Journal Article
Grant Details: ARC/DP150101867
Source of Publication: Discrete and Continuous Dynamical Systems. Series B, 22(3), p. 895-911
Publisher: AIMS Press
Place of Publication: United States of America
ISSN: 1553-524X
1531-3492
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: 970105 Expanding Knowledge in the Environmental Sciences
970101 Expanding Knowledge in the Mathematical Sciences
970106 Expanding Knowledge in the Biological Sciences
Socio-Economic Objective (SEO) 2020: 280118 Expanding knowledge in the mathematical sciences
280111 Expanding knowledge in the environmental sciences
280102 Expanding knowledge in the biological sciences
Peer Reviewed: Yes
HERDC Category Description: C1 Refereed Article in a Scholarly Journal
Appears in Collections:Journal Article

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