The dynamics of a Fisher-KPP nonlocal diffusion model with free boundaries

Title
The dynamics of a Fisher-KPP nonlocal diffusion model with free boundaries
Publication Date
2019
Author(s)
Cao, Jia-Feng
Du, Yihong
( author )
OrcID: https://orcid.org/0000-0002-1235-0636
Email: ydu@une.edu.au
UNE Id une-id:ydu
Li, Fang
Li, Wan-Tong
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
Elsevier Inc
Place of publication
United States of America
DOI
10.1016/j.jfa.2019.02.013
UNE publication id
une:1959.11/28570
Abstract
We introduce and study a class of free boundary models with "nonlocal diffusion", which are natural extensions of the free boundary models in [16]and elsewhere, where “local diffusion” is used to describe the population dispersal, with the free boundary representing the spreading front of the species. We show that this nonlocal problem has a unique solution defined for all time, and then examine its long-time dynamical behavior when the growth function is of Fisher-KPP type. We prove that a spreading-vanishing dichotomy holds, though for the spreading-vanishing criteria significant differences arise from the well known local diffusion model in [16].
Link
Citation
Journal of Functional Analysis, 277(8), p. 2772-2814
ISSN
1096-0783
0022-1236
Start page
2772
End page
2814

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