Original paper
Unified framework for localized patterns in reaction–diffusion systems; the Gray–Scott and Gierer–Meinhardt cases
Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences4.30
Volume: 379, Issue: 2213
Published: Nov 8, 2021
Abstract
A recent study of canonical activator-inhibitor Schnakenberg-like models posed on an infinite line is extended to include models, such as Gray-Scott, with bistability of homogeneous equilibria. A homotopy is studied that takes a Schnakenberg-like glycolysis model to the Gray-Scott model. Numerical continuation is used to understand the complete sequence of transitions to two-parameter bifurcation diagrams within the localized pattern parameter...
Paper Details
Title
Unified framework for localized patterns in reaction–diffusion systems; the Gray–Scott and Gierer–Meinhardt cases
Published Date
Nov 8, 2021
Journal
Volume
379
Issue
2213
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Notes
History