Turing instability and pattern formation in a diffusive Sel'kov-Schnakenberg system

DOI10.1007/s10910-023-01452-0OpenAlexW4318003711MaRDI QIDQ2696372

Yanyan Li

Publication date: 11 April 2023

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-023-01452-0

zbMATH Keywords

stabilitypatternTuring instabilityTuring bifurcationSel'kov-Schnakenberg model

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Bifurcations of singular points in dynamical systems (37G10) Bifurcation theory of functional-differential equations (34K18) Pattern formations in context of PDEs (35B36)

Cites Work

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• Optimal error estimate using mesh equidistribution technique for singularly perturbed system of reaction-diffusion boundary-value problems
• Flow-distributed spikes for Schnakenberg kinetics
• Hopf bifurcation analysis of a reaction-diffusion Sel'kov system
• Formation and control of Turing patterns and phase fronts in photonics and chemistry
• Analysis on a generalized Sel'kov-Schnakenberg reaction-diffusion system
• Non-constant positive steady states of the Sel'kov model.
• Weakly nonlinear analysis of Turing patterns in a morphochemical model for metal growth
• Stability analysis for Selkov-Schnakenberg reaction-diffusion system
• On the approximate solutions of a class of fractional order nonlinear Volterra integro-differential initial value problems and boundary value problems of first kind and their convergence analysis
• Steady states of a Sel'kov-Schnakenberg reaction-diffusion system
• Turing pattern formation in anisotropic medium
• Qualitative analysis of steady states to the Sel'kov model
• Bifurcation analysis of reaction-diffusion Schnakenberg model
• Pattern formation in a general glycolysis reaction-diffusion system
• Numerical Results for Snaking of Patterns over Patterns in Some 2D Selkov--Schnakenberg Reaction-Diffusion Systems
• Turing instability and travelling waves in diffusive plankton models with delayed nutrient recycling
• A priori bounds and global existence of solutions of the steady-state Sel'kov model
• Turing Patterns in the Lengyel–Epstein System with Superdiffusion
• The chemical basis of morphogenesis
• Pattern Dynamics of a Diffusive Toxin Producing Phytoplankton–Zooplankton Model with Three-Dimensional Patch
• Numerical treatment of two‐parameter singularly perturbed parabolic convection diffusion problems with non‐smooth data
• Upper‐Semicontinuity of Global Attractors for Reversible Schnackenberg Equations
• Theoretical prospects of fractional order weakly singular Volterra Integro differential equations and their approximations with convergence analysis
• A perturbation-based approach for solving fractional-order Volterra–Fredholm integro differential equations and its convergence analysis
• Stability and Turing Patterns in a Predator–Prey Model with Hunting Cooperation and Allee Effect in Prey Population
• Influence of temperature on Turing pattern formation
• A higher order difference method for singularly perturbed parabolic partial differential equations
• Bounds for the Steady-State Sel'kov Model for Arbitrarypin Any Number of Dimensions

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