Please use this identifier to cite or link to this item:
https://hdl.handle.net/1959.11/31806
Title: | Analysis of a West Nile virus model with nonlocal diffusion and free boundaries |
Contributor(s): | Du, Yihong (author) ; Ni, Wenjie (author) |
Publication Date: | 2020-09 |
Early Online Version: | 2020-07-21 |
DOI: | 10.1088/1361-6544/ab8bb2 |
Handle Link: | https://hdl.handle.net/1959.11/31806 |
Abstract: | | We consider a West Nile virus model with nonlocal diffusion and free boundaries, in the form of a cooperative evolution system that can be viewed as a nonlocal version of the free boundary model of Lin and Zhu (2017 J. Math. Biol. 75 1381-1409). The model is a representative of a class of 'vector-host' models. We prove that this nonlocal model is well-posed, and its long-time dynamical behaviour is characterised by a spreading-vanishing dichotomy. We also find the criteria that completely determine when spreading and vanishing can happen, revealing some significant differences from the model in Lin and Zhu (2017 J. Math. Biol. 75 1381-1409). It is expected that the nonlocal model here may exhibit accelerated spreading (see remark 1.4 part (c)), a feature contrasting sharply to the corresponding local diffusion model, which has been shown by Wang et al (2019 J. Math. Biol. 79 433-466) to have finite spreading speed whenever spreading happens. Many techniques developed here are applicable to more general cooperative systems with nonlocal diffusion.
Publication Type: | Journal Article |
Source of Publication: | Nonlinearity, 33(9), p. 4407-4448 |
Publisher: | Institute of Physics Publishing Ltd |
Place of Publication: | United Kingdom |
ISSN: | 1361-6544 0951-7715 |
Fields of Research (FoR) 2020: | 490102 Biological mathematics 490410 Partial differential equations |
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
|
Files in This Item:
1 files
Show full item record
Items in Research UNE are protected by copyright, with all rights reserved, unless otherwise indicated.