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Pattern formation in a certain nonlocal evolution equation
  • Szymon Cygan
Szymon Cygan
University of Wroclaw

Corresponding Author:szymon.cygan@math.uni.wroc.pl

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Abstract

We study a certain nonlocal evolution equation generalising a model introduced to explain colour patterns on a skin of the guppy fish. We prove an existence of stationary solutions using either the bifurcation theory or the Schauder fixed point theorem. We also present numerical studies of this model and show that it exhibits patterns similar to those modelled by well-known reaction-diffusion equations.
27 Jul 2020Submitted to Mathematical Methods in the Applied Sciences
30 Jul 2020Submission Checks Completed
30 Jul 2020Assigned to Editor
20 Aug 2020Reviewer(s) Assigned
08 Feb 2021Review(s) Completed, Editorial Evaluation Pending
11 Feb 2021Editorial Decision: Revise Major
23 Feb 20211st Revision Received
24 Feb 2021Submission Checks Completed
24 Feb 2021Assigned to Editor
25 Feb 2021Reviewer(s) Assigned
04 Mar 2021Review(s) Completed, Editorial Evaluation Pending
31 Mar 2021Editorial Decision: Accept