Please use this identifier to cite or link to this item:
https://hdl.handle.net/1959.11/21106
Title: | Semi-wave and spreading speed for the diffusive competition model with a free boundary | Contributor(s): | Du, Yihong (author) ; Wang, Mingxin (author); Zhou, Maolin (author) | Publication Date: | 2017 | DOI: | 10.1016/j.matpur.2016.06.005 | Handle Link: | https://hdl.handle.net/1959.11/21106 | Abstract: | We determine the asymptotic spreading speed of an invasive species, which invades the territory of a native competitor, governed by a diffusive competition model with a free boundary in a spherically symmetric setting. This free boundary problem was studied recently in, but only rough bounds of the spreading speed were obtained there. We show in this paper that there exists an asymptotic spreading speed, which is determined by a certain traveling wave type system of one space dimension, called a semi-wave. This appears to be the first result that gives the precise asymptotic spreading speed for a two species system with free boundaries. | Publication Type: | Journal Article | Grant Details: | ARC/DP150101867 | Source of Publication: | Journal de Mathematiques Pures et Appliquees, 107(3), p. 253-287 | Publisher: | Elsevier Masson | Place of Publication: | France | ISSN: | 1776-3371 0021-7824 |
Fields of Research (FoR) 2008: | 010202 Biological Mathematics 010110 Partial Differential Equations |
Fields of Research (FoR) 2020: | 490410 Partial differential equations 490102 Biological mathematics |
Socio-Economic Objective (SEO) 2008: | 970101 Expanding Knowledge in the Mathematical Sciences 970106 Expanding Knowledge in the Biological Sciences 970105 Expanding Knowledge in the Environmental Sciences |
Socio-Economic Objective (SEO) 2020: | 280111 Expanding knowledge in the environmental sciences 280102 Expanding knowledge in the biological sciences 280118 Expanding knowledge in the mathematical sciences |
Peer Reviewed: | Yes | HERDC Category Description: | C1 Refereed Article in a Scholarly Journal |
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Appears in Collections: | Journal Article |
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