Dynamics of a three-molecule autocatalytic Schnakenberg model with cross-diffusion: Turing patterns of spatially homogeneous Hopf bifurcating periodic solutions

DOI10.3934/ERA.2023211OpenAlexW4378715862MaRDI QIDQ6153109

Hong-Yan Wang, Weiyu Li

Publication date: 13 February 2024

Published in: Electronic Research Archive (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2023211

zbMATH Keywords

cross-diffusionTuring instabilitySchnakenberg modelspatially homogeneous periodic solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Classical flows, reactions, etc. in chemistry (92E20) Bifurcation theory for ordinary differential equations (34C23)

Cites Work

• Unnamed Item
• The bifurcation analysis of Turing pattern formation induced by delay and diffusion in the Schnakenberg system
• Diffusion driven instability in an inhomogeneous circular domain
• Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
• Hopf bifurcation analysis of a reaction-diffusion Sel'kov system
• Geometric theory of semilinear parabolic equations
• Stability of spatially homogeneous periodic solutions of reaction- diffusion equations
• Chaos in a simple two-phase reactor
• Stability analysis of Turing patterns generated by the Schnakenberg model
• Hopf bifurcation analysis in a one-dimensional Schnakenberg reaction-diffusion model
• Dynamics of periodic solutions in the reaction-diffusion glycolysis model: mathematical mechanisms of Turing pattern formation
• Time-stepping schemes for moving grid finite elements applied to reaction-diffusion systems on fixed and growing domains
• Bifurcation analysis of reaction-diffusion Schnakenberg model
• Turing instability of the periodic solutions for reaction-diffusion systems with cross-diffusion and the patch model with cross-diffusion-like coupling
• The application of singularity theory to isothermal autocatalytic open systems: the elementary scheme A +mB = (m+ 1)B
• The Existence and Stability of Asymmetric Spike Patterns for the Schnakenberg Model

This page was built for publication: Dynamics of a three-molecule autocatalytic Schnakenberg model with cross-diffusion: Turing patterns of spatially homogeneous Hopf bifurcating periodic solutions