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A simple system of reaction-diffusion equations describing morphogenesis: Asymptotic behavior

https://doi.org/10.1007/bf02411692
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-3-030-27407-8openalex-snapshot
Differential and Integral Inequalities
inferredcites →https://doi.org/10.1007/978-3-642-86405-6openalex-snapshot
Differential and Integral Inequalities
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Convergence to the equilibrium state in the Volterra-Lotka diffusion equations
inferredcites →https://doi.org/10.1007/bf02459519openalex-snapshot
Bifurcation analysis of nonlinear reaction-diffusion equations—I. Evolution equations and the steady state solutions
inferredcites →https://doi.org/10.1007/bf02459527openalex-snapshot
Bifurcation analysis of nonlinear reaction-diffusion equations—II. Steady state solutions and comparison with numerical simulations
inferredcites →https://doi.org/10.1007/bf02459528openalex-snapshot
Models for cell differentiation and generation of polarity in diffusion-governed morphogenetic fields
inferredcites →https://doi.org/10.1016/0016-0032(65)90278-4openalex-snapshot
Partial differential equations of parabolic type
inferredcites →https://doi.org/10.1016/0022-247x(69)90175-9openalex-snapshot
Dynamical systems and stability
inferredcites →https://doi.org/10.1016/0022-247x(78)90227-5openalex-snapshot
Nonlinear reaction-diffusion models for interacting populations
inferredcites →https://doi.org/10.1016/0025-5564(75)90026-7openalex-snapshot
Reaction-diffusion equation describing morphogenesis I. waveform stability of stationary wave solutions in a one dimensional model
inferredcites →https://doi.org/10.1016/s0006-3495(70)86355-xopenalex-snapshot
Solutions to Axon Equations
inferredcites →https://doi.org/10.1080/00036817908839247openalex-snapshot
Asymptotic stability results for system of quasilinear parabolic equations
inferredcites →https://doi.org/10.1080/03605307708820045openalex-snapshot
A comparison technique for systems of reaction-diffusion equations
inferredcites →https://doi.org/10.1090/s0002-9947-1974-0358067-4openalex-snapshot
Generation of Analytic Semigroups by Strongly Elliptic Operators
inferredcites →https://doi.org/10.1098/rstb.1952.0012openalex-snapshot
The chemical basis of morphogenesis
inferredcites →https://doi.org/10.1137/0137048openalex-snapshot
Convergence to Homogeneous Equilibrium State for Generalized Volterra–Lotka Systems with Diffusion
inferredcites →https://doi.org/10.1242/jcs.23.1.117openalex-snapshot
A model of pattern formation in insect embryogenesis

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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A Singular Perturbation Analysis for a Reaction‐Diffusion System Describing Pattern Formation
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Lyapunov Functionals and Stability for FitzHugh–Nagumo Systems
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A Maximum Principle for an Elliptic System and Applications to Semilinear Problems
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Experiments on the Formation of Stationary Spatial Structures on a Network of Coupled Oscillators
inferred← citeshttps://doi.org/10.1007/bf00184646openalex-snapshot
Spatially distributed communities: the resource—consumer system
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Some analytical results about a simple reaction-diffusion system for morphogenesis
inferred← citeshttps://doi.org/10.1007/s11784-024-01101-2openalex-snapshot
Bifurcation from infinity and multiplicity of solutions for an elliptic system
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A picture of the global bifurcation diagram in ecological interacting and diffusing systems
inferred← citeshttps://doi.org/10.1016/0362-546x(81)90097-3openalex-snapshot
Global existence of branches of stationary solutions for a system of reaction diffusion equations from biology
inferred← citeshttps://doi.org/10.1016/0362-546x(82)90045-1openalex-snapshot
On steady state solutions of a system of reaction-diffusion equations from biology
inferred← citeshttps://doi.org/10.1016/b978-0-12-508780-3.50025-0openalex-snapshot
SOME PROBLEMS OF REACTION-DIFFUSION EQUATIONS
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On the Structure of Multiple Existence of Stable Stationary Solutions in Systems of Reaction-Diffusion Equations
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Chapter VIII Some Recent Topics in Pattern Formation
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Stability Criteria for Reaction-Diffusion Systems with Skew-Gradient Structure
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Standing Wave Solutions for a System Derived from the Fitzhugh–Nagumo Equations for Nerve Conduction
inferred← citeshttps://doi.org/10.1137/0517060openalex-snapshot
A Maximum Principle for an Elliptic System and Applications to Semilinear Problems
inferred← citeshttps://doi.org/10.1137/090747348openalex-snapshot
Turing Patterns and Wavefronts for Reaction-Diffusion Systems in an Infinite Channel
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Existence and multiplicity of solutions for superquadratic noncooperative variational elliptic systems
inferred← citeshttps://doi.org/10.3233/asy-231839openalex-snapshot
Bifurcation from infinity and multiplicity results for an elliptic system from biology
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Some comparison principles for weakly coupled systems of elliptic equations
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