Bifurcation, stability diagrams, and varying diffusion coefficients in reaction-diffusion equations
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Publication:1159321
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
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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