Bifurcation, stability diagrams, and varying diffusion coefficients in reaction-diffusion equations

DOI10.1007/BF02459421zbMath0474.35013OpenAlexW4251006225MaRDI QIDQ1159321

Kenneth J. Brown, Eilbeck, J. C.

Publication date: 1982

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02459421

zbMATH Keywords

stabilitybifurcationsystem of reaction diffusion equationsstability diagrams

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35) Bifurcations in context of PDEs (35B32)

Related Items (6)

Stochastic model of population growth and spread ⋮ Analysis of bifurcations in reaction–diffusion systems with no-flux boundary conditions: the Sel'kov model ⋮ Stability diagram for a three parabolic equation system coming from biochemistry ⋮ On the heterogeneity of reaction-diffusion generated pattern ⋮ On the Generalized Spectrum for Second-Order Elliptic Systems ⋮ Bifurcation analysis on a reactor model with combination of quadratic and cubic steps

Cites Work

• A mathematical model for pattern formation in biological systems
• Bifurcation analysis of nonlinear reaction-diffusion equations. II: Steady state solutions and comparison with numerical simulations
• Bifurcation analysis of nonlinear reaction diffusion equations I. Evolution equations and the steady state solutions
• Three types of matrix stability
• Some analytical results about a simple reaction-diffusion system for morphogenesis
• Spatial patterns for an interaction-diffusion equation in morphogenesis
• Stability Properties of Solutions to Systems of Reaction-Diffusion Equations

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