Analysis of bifurcations in reaction–diffusion systems with no-flux boundary conditions: the Sel'kov model

DOI10.1017/S0308210500028109zbMath0830.35011OpenAlexW2158335379MaRDI QIDQ4839295

Jacques-Elie Furter, Eilbeck, J. C.

Publication date: 17 July 1995

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500028109

zbMATH Keywords

symmetryglobal bifurcationno-flux boundary conditionSel'kov model

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32)

Related Items (10)

Steady states of a 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 ⋮ Global bifurcation in the Brusselator system ⋮ Stability and Hopf bifurcation in the general Langford system ⋮ Positive steady-state solutions of the Sel'kov model ⋮ Qualitative analysis of steady states to the Sel'kov model ⋮ Stability analysis for Selkov-Schnakenberg reaction-diffusion system ⋮ Non-constant positive steady states of the Sel'kov model. ⋮ Bifurcation analysis of a single species reaction-diffusion model with nonlocal delay

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