Analysis of pattern formation in reaction diffusion models with spatially inhomogeneous diffusion coefficients

DOI10.1016/0895-7177(93)90025-TzbMath0784.92004OpenAlexW2017825315MaRDI QIDQ1310171

Philip K. Maini, Debbie L. Benson, Jonathan A. Sherratt

Publication date: 2 January 1994

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

Full work available at URL: https://doi.org/10.1016/0895-7177(93)90025-t

zbMATH Keywords

pattern formationsteady state solutionsone spatial dimensionchondrogenesis in the limbnon-standard linear analysisspatially varying amplitude and wavelengthspatially varying diffusion coefficients

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15)

Related Items (12)

Modeling the role of diffusion coefficients on Turing instability in a reaction-diffusion prey-predator system ⋮ The effect of landscape fragmentation on Turing-pattern formation ⋮ Modeling the role of constant and time varying recycling delay on an ecological food chain ⋮ Prey-predator model with a nonlocal consumption of prey ⋮ Diffusion-driven instability in oscillating environments ⋮ Spatial and spatiotemporal pattern formation in generalised Turing systems ⋮ Diffusion driven instability in an inhomogeneous circular domain ⋮ A population model with time-dependent delay ⋮ Self-replication of spatial patterns in a ratio-dependent predator-prey model ⋮ Spikes for the Gierer-Meinhardt system with discontinuous diffusion coefficients ⋮ Spatio-temporal Bazykin's model with space-time nonlocality ⋮ Analysis of pattern formation in reaction diffusion models with spatially inhomogeneous diffusion coefficients

Cites Work

• 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
• Analysis of pattern formation in reaction diffusion models with spatially inhomogeneous diffusion coefficients
• Bifurcations in Turing systems of the second kind may explain blastula cleavage plane orientation
• The chemical basis of morphogenesis
• Unnamed Item

This page was built for publication: Analysis of pattern formation in reaction diffusion models with spatially inhomogeneous diffusion coefficients