Spatial Turing patterns of periodic solutions for the Brusselator system with cross-diffusion-like coupling

DOI10.1142/S0218127423501481zbMATH Open1540.35037MaRDI QIDQ6538876

Bin Ge, Haicheng Liu

Publication date: 14 May 2024

Published in: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering (Search for Journal in Brave)

zbMATH Keywords

stabilityHopf bifurcationTuring bifurcationcoupled Brusselator systemcross-diffusion-like

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

• Title not available (Why is that?)
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• Stability of spatially homogeneous periodic solutions of reaction- diffusion equations
• Turing pattern formation in a predator-prey system with cross diffusion
• Multiple bifurcations and spatiotemporal patterns for a coupled two-cell Brusselator model
• Bistability and Turing pattern induced by cross fraction diffusion in a predator-prey model
• Spatial patterns through Turing instability in a reaction-diffusion predator-prey model
• Study of cross-diffusion induced Turing patterns in a ratio-dependent prey-predator model via amplitude equations
• Turing patterns induced by cross-diffusion in a predator-prey system in presence of habitat complexity
• Mesa-type patterns in the one-dimensional Brusselator and their stability
• Pattern formation in the Brusselator system
• Global Existence and Boundedness in Reaction-Diffusion Systems
• Global bifurcation in the Brusselator system
• TURING INSTABILITY IN A PREDATOR-PREY MODEL IN PATCHY SPACE WITH SELF AND CROSS DIFFUSION

Related Items (1)

Turing instability of periodic solutions for a general Brusselator model with cross-diffusion

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