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) | 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 |
Files in This Item:
File | Description | Size | Format |
---|
SCOPUSTM
Citations
22
checked on May 18, 2024
Page view(s)
1,334
checked on May 5, 2024
Items in Research UNE are protected by copyright, with all rights reserved, unless otherwise indicated.