Please use this identifier to cite or link to this item:
https://hdl.handle.net/1959.11/12036
Title: | Spreading speed revisited: Analysis of a free boundary model | Contributor(s): | Bunting, Gary (author); Du, Yihong (author) ; Krakowski, Krzysztof (author) | Publication Date: | 2012 | Open Access: | Yes | DOI: | 10.3934/nhm.2012.7.583 | Handle Link: | https://hdl.handle.net/1959.11/12036 | Abstract: | We investigate, from a more ecological point of view, a free boundary model considered in [11] and [8] that describes the spreading of a new or invasive species, with the free boundary representing the spreading front. We derive the free boundary condition by considering a "population loss" at the spreading front, and correct some mistakes regarding the range of spreading speed in [11]. Then we use numerical simulation to gain further insights to the model, which may help to determine its usefulness in concrete ecological situations. | Publication Type: | Journal Article | Grant Details: | ARC/DP120100727 | Source of Publication: | Networks and Heterogeneous Media, 7(4), p. 583-603 | Publisher: | American Institute of Mathematical Sciences | Place of Publication: | United States of America | ISSN: | 1556-181X | Fields of Research (FoR) 2008: | 010110 Partial Differential Equations | Fields of Research (FoR) 2020: | 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 |
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Appears in Collections: | Journal Article |
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