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

Peer review status:UNDER REVIEW

27 Jul 2020Submitted to Mathematical Methods in the Applied Sciences
30 Jul 2020Assigned to Editor
30 Jul 2020Submission Checks Completed
20 Aug 2020Reviewer(s) Assigned