Positional differentiation as pattern formation in reaction-diffusion systems with permeable boundaries. Bifurcation analysis

DOI10.1007/BF00276898zbMath0459.92003OpenAlexW2038670791WikidataQ113909047 ScholiaQ113909047MaRDI QIDQ1152322

B. N. Belintsev, G. T. Gurija, M. A. Livshits, Mikhail V. Volkenstein

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1007/bf00276898

zbMATH Keywords

pattern formationmorphogenesispermeable boundariestrigger type dynamicsunicomponent reaction-diffusion system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Boundary value problems for nonlinear higher-order PDEs (35G30) Bifurcations in context of PDEs (35B32) General biology and biomathematics (92B05)

Cites Work

• Unnamed Item
• Asymptotic behavior for solutions of a one-dimensional parabolic equation with homogeneous Neumann boundary conditions
• Stability of stationary solutions of a semilinear parabolic partial differential equation
• Stability of bifurcating solutions by Leray-Schauder degree

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