Please use this identifier to cite or link to this item: 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)orcid ; Guo, Zongming (author); Peng, Rui (author)
Publication Date: 2013
Open Access: Yes
DOI: 10.1016/j.jfa.2013.07.016Open Access Link
Handle Link: https://hdl.handle.net/1959.11/13629
Open Access Link: https://arxiv.org/pdf/1504.03958.pdfOpen Access Link
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
Appears in Collections:Journal Article
School of Science and Technology

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