Analyzing Pattern Formation in the Gray--Scott Model: An XPPAUT Tutorial

DOI10.1137/21M1402868zbMath1497.92370MaRDI QIDQ5094920

M. R. Nelson, Demi L. Gandy

Publication date: 5 August 2022

Published in: SIAM Review (Search for Journal in Brave)

zbMATH Keywords

PDEreaction-diffusionGray-Scott modelXPPAUT

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Classical flows, reactions, etc. in chemistry (92E20) Developmental biology, pattern formation (92C15) Pattern formations in context of PDEs (35B36)

Cites Work

• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• A skeleton structure of self-replicating dynamics
• Numerical continuation methods for dynamical systems. Path following and boundary value problems.
• Practical bifurcation and stability analysis
• Pattern Formation
• WAVE-SPLITTING IN THE BISTABLE GRAY-SCOTT MODEL
• The chemical basis of morphogenesis
• Global Bifurcation Map of the Homogeneous States in the Gray–Scott Model
• Stationary periodic patterns in the 1D Gray-Scott model
• Spatio-temporal chaos for the Gray-Scott model

This page was built for publication: Analyzing Pattern Formation in the Gray--Scott Model: An XPPAUT Tutorial