Bifurcations and pattern formation in a generalized Lengyel-Epstein reaction-diffusion model

DOI10.1016/J.CHAOS.2019.109579zbMath1434.35004OpenAlexW2999166764WikidataQ126333377 ScholiaQ126333377MaRDI QIDQ2185148

Djamel Mansouri, Salem Abdelmalek, Samir Bendoukha

Publication date: 4 June 2020

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2019.109579

zbMATH Keywords

pattern formationHopf bifurcationreaction-diffusiongeneral Lengyel-Epstein model

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Bifurcations of singular points in dynamical systems (37G10)

Related Items (1)

Spatiotemporal complexity in a diffusive Brusselator model

Cites Work

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• On the global dynamics of the Lengyel-Epstein system
• On the global asymptotic stability of solutions to a generalised Lengyel-Epstein system
• Diffusion-driven instability and bifurcation in the Lengyel-Epstein system
• Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
• Global asymptotical behavior of the Lengyel-Epstein reaction-diffusion system
• On the stability and nonexistence of turing patterns for the generalized Lengyel-Epstein model
• A chemical approach to designing Turing patterns in reaction-diffusion systems.
• Bifurcations and Pattern Formation in a Predator–Prey Model
• The chemical basis of morphogenesis
• PATTERN FORMATION IN A GENERAL DEGN-HARRISON REACTION MODEL
• Turing patterns in the Lengyel-Epstein system for the CIMA reaction

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