Positive steady-state solutions of the Sel'kov model

DOI10.1016/J.MCM.2006.03.001zbMath1143.35337OpenAlexW2024454124MaRDI QIDQ2426068

Yanyan Li

Publication date: 17 April 2008

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2006.03.001

zbMATH Keywords

existencesteady-state solutionsA priori estimateshomogeneous Dirichlet boundary conditionthe fixed point indexthe Sel'kov model

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Nonlinear elliptic equations (35J60)

Related Items (11)

Analysis on a generalized Sel'kov-Schnakenberg reaction-diffusion system ⋮ 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 ⋮ Dynamics of periodic solutions in the reaction-diffusion glycolysis model: mathematical mechanisms of Turing pattern formation ⋮ Dynamics of nonconstant steady states of the Sel'kov model with saturation effect ⋮ Pattern formation of a biomass-water reaction-diffusion model ⋮ Turing instability of the periodic solutions for the diffusive Sel'kov model with saturation effect ⋮ Hopf bifurcation analysis of a reaction-diffusion Sel'kov system ⋮ Bifurcation Analysis of a Diffusive Predator–Prey Model with Bazykin Functional Response ⋮ Bifurcation analysis of a single species reaction-diffusion model with nonlocal delay

Cites Work

• Unnamed Item
• Size adaptation of Turing prepatterns
• Symmetry and related properties via the maximum principle
• Non-constant positive steady states of the Sel'kov model.
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• A priori bounds and global existence of solutions of the steady-state Sel'kov model
• Analysis of bifurcations in reaction–diffusion systems with no-flux boundary conditions: the Sel'kov model

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