Steady-state solution for a general Schnakenberg model

DOI10.1016/j.nonrwa.2010.12.014zbMath1231.35069OpenAlexW1969364481MaRDI QIDQ546148

Yan Li

Publication date: 24 June 2011

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.12.014

zbMATH Keywords

topological degreeexistence and uniquenesschemical kineticsimplicit function theoremSchnakenberg model

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Chemical kinetics in thermodynamics and heat transfer (80A30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (8)

Pattern formation of a coupled two-cell Schnakenberg model ⋮ Hopf bifurcation analysis in a one-dimensional Schnakenberg reaction-diffusion model ⋮ Bifurcation analysis and spatiotemporal patterns in delayed Schnakenberg reaction-diffusion model ⋮ Pattern selection in the Schnakenberg equations: From normal to anomalous diffusion ⋮ Spiky patterns for the Schnakenberg model with advection term on \(Y\)-shaped metric graph ⋮ Turing patterns for a coupled two-cell generalized Schnakenberg model ⋮ Devising efficient numerical methods for oscillating patterns in reaction-diffusion systems ⋮ Bifurcation analysis of reaction-diffusion Schnakenberg model

Cites Work

• Positive steady-state solutions of the Noyes--Field model for Belousov--Zhabotinskii reaction.
• Non-constant positive steady states of the Sel'kov model.
• Diffusion, self-diffusion and cross-diffusion
• Stationary Pattern of a Ratio-Dependent Food Chain Model with Diffusion

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