Dynamics of periodic solutions in the reaction-diffusion glycolysis model: mathematical mechanisms of Turing pattern formation

DOI10.1016/j.amc.2022.127324OpenAlexW4283120635MaRDI QIDQ2152723

Haicheng Liu, Bin Ge, Ji-Hong Shen

Publication date: 11 July 2022

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2022.127324

zbMATH Keywords

periodic solutionsHopf bifurcationcross-diffusionTuring instabilityGlycolysis Sel'kov system

Mathematics Subject Classification ID

Parabolic equations and parabolic systems (35Kxx) Elliptic equations and elliptic systems (35Jxx) Qualitative properties of solutions to partial differential equations (35Bxx)

Related Items (2)

Complex patterns in a space-time discrete mathematical model of antibiotic resistance in hospitals with self-diffusion ⋮ Dynamics of a three-molecule autocatalytic Schnakenberg model with cross-diffusion: Turing patterns of spatially homogeneous Hopf bifurcating periodic solutions

Cites Work

• The bifurcation analysis of Turing pattern formation induced by delay and diffusion in the Schnakenberg system
• Turing instabilities and patterns near a Hopf bifurcation
• 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
• Hopf bifurcation analysis in a one-dimensional Schnakenberg reaction-diffusion model
• Positive steady-state solutions of the Sel'kov model
• Qualitative analysis of steady states to the Sel'kov model
• 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
• Bounds for the Steady-State Sel'kov Model for Arbitrarypin Any Number of Dimensions
• Turing instabilities in reaction-diffusion systems with cross diffusion

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