Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/56423
Title: Long-time dynamics of a nonlocal epidemic model with free boundaries: Spreading-vanishing dichotomy
Contributor(s): Wang, Rong  (author); Du, Yihong  (author)orcid 
Publication Date: 2022-08-05
Early Online Version: 2022-05-02
Open Access: Yes
DOI: 10.1016/j.jde.2022.04.031Open Access Link
Handle Link: https://hdl.handle.net/1959.11/56423
Open Access Link: https://doi.org/10.48550/arXiv.2202.13068Open Access Link
Abstract: 

In this paper, we examine the long-time dynamics of an epidemic model whose diffusion and reaction terms involve nonlocal effects described by suitable convolution operators. The spreading front of the disease is represented by the free boundaries in the model. We show that the model is well-posed, its long-time dynamical behaviour is characterised by a spreading-vanishing dichotomy, and we also obtain sharp criteria to determine the dichotomy. Some of the nonlocal effects in the model pose extra difficulties in the mathematical treatment, which are dealt with by introducing new approaches. The model can capture accelerated spreading, and its spreading rate will be discussed in a subsequent work.

Publication Type: Journal Article
Grant Details: ARC/DP190103757
Source of Publication: Journal of Differential Equations, v.327, p. 322-381
Publisher: Academic Press
Place of Publication: United States of America
ISSN: 1090-2732
0022-0396
Fields of Research (FoR) 2020: 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

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