Positivity and global existence for nonlocal advection-diffusion models of interacting populations

Giunta, V., Hillen, T., Lewis, M.A. et al. (1 more author) (2025) Positivity and global existence for nonlocal advection-diffusion models of interacting populations. Aims Mathematics, 10 (9). pp. 21254-21272. ISSN: 2473-6988

Abstract

Metadata

Item Type: Article
Authors/Creators:
  • Giunta, V.
  • Hillen, T.
  • Lewis, M.A.
  • Potts, J.R.
Copyright, Publisher and Additional Information:

© 2025 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)

Keywords: nonlocal advection; positivity of PDEs; global existence; blow-up; numerical PDEs
Dates:
  • Accepted: 2 September 2025
  • Published (online): 16 September 2025
  • Published: 16 September 2025
Institution: The University of Sheffield
Academic Units: The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematical and Physical Sciences
Funding Information:
Funder
Grant number
ENGINEERING AND PHYSICAL SCIENCE RESEARCH COUNCIL
EP/V002988/1
Date Deposited: 08 Oct 2025 08:13
Last Modified: 08 Oct 2025 08:13
Status: Published
Publisher: American Institute of Mathematical Sciences (AIMS)
Refereed: Yes
Identification Number: 10.3934/math.2025949
Open Archives Initiative ID (OAI ID):

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