Turing pattern of the Oregonator model

DOI10.1016/J.NA.2009.10.034zbMath1187.35263OpenAlexW2083847280MaRDI QIDQ844968

Fuqin Sun, Rui Peng

Publication date: 5 February 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.10.034

zbMATH Keywords

diffusionexistencea priori estimatesTuring instabilityTuring patternthe Oregonator model

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Biochemistry, molecular biology (92C40) A priori estimates in context of PDEs (35B45) Developmental biology, pattern formation (92C15) Boundary value problems for second-order elliptic systems (35J57)

Related Items (9)

Spatiotemporal pattern formation of a diffusive bimolecular model with autocatalysis and saturation law ⋮ Bifurcation analysis of a diffusive plant-wrack model with tide effect on the wrack ⋮ Bifurcation analysis of a diffusive predator-prey model with ratio-dependent Holling type III functional response ⋮ Discontinuous stationary solutions to certain reaction-diffusion systems ⋮ Turing patterns of a strongly coupled predator-prey system with diffusion effects ⋮ Bifurcation analysis of the Oregonator model ⋮ Bifurcation Analysis of a Diffusive Predator–Prey Model with Bazykin Functional Response ⋮ Bifurcation analysis of a single species reaction-diffusion model with nonlocal delay ⋮ Qualitative analysis of the Oregonator model

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• Numerical Experiments on the Turing Instability in the Oregonator Model
• The chemical basis of morphogenesis
• Turing patterns in the Lengyel-Epstein system for the CIMA reaction
• Dynamical behavior in linearly coupled Oregonators.

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