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https://hdl.handle.net/1959.11/13629
Title: | A diffusive logistic model with a free boundary in time-periodic environment | Contributor(s): | Du, Yihong (author) ; Guo, Zongming (author); Peng, Rui (author) | Publication Date: | 2013 | Open Access: | Yes | DOI: | 10.1016/j.jfa.2013.07.016 | Handle Link: | https://hdl.handle.net/1959.11/13629 | Open Access Link: | https://arxiv.org/pdf/1504.03958.pdf | Abstract: | We study the diffusive logistic equation with a free boundary in time-periodic environment. Such a model may be used to describe the spreading of a new or invasive species, with the free boundary representing the expanding front. For time independent environment, in the cases of one space dimension, and higher space dimensions with radial symmetry, this free boundary problem has been studied in Du and Lin (2010), Du and Guo (2011). In both cases, a spreading-vanishing dichotomy was established, and when spreading occurs, the asymptotic spreading speed was determined. In this paper, we show that the spreading-vanishing dichotomy is retained in time-periodic environment, and we also determine the spreading speed. The former is achieved by further developing the earlier techniques, and the latter is proved by introducing new ideas and methods. | Publication Type: | Journal Article | Grant Details: | ARC/DP120100727 | Source of Publication: | Journal of Functional Analysis, 265(9), p. 2089-2142 | Publisher: | Elsevier Inc | Place of Publication: | United States of America | ISSN: | 1096-0783 0022-1236 |
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 School of Science and Technology |
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