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A non-linear analysis for spatial structure in a reaction-diffusion model

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What this work says

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

inferredcites →https://doi.org/10.1002/bimj.4710200213openalex-snapshot
HAKEN, H.: Synergetics. An Introduction. Springer‐Verlag, Berlin‐Heidelberg‐New York 1977. XII, 325 S., 125 Abb., DM 72.—.
inferredcites →https://doi.org/10.1002/sapm1976553187openalex-snapshot
Secondary Bifurcation in Nonlinear Diffusion Reaction Equations
inferredcites →https://doi.org/10.1007/978-0-387-30440-3_534openalex-snapshot
Synergetics, Introduction to
inferredcites →https://doi.org/10.1007/bf00276025openalex-snapshot
Transition from polar to duplicate patterns
inferredcites →https://doi.org/10.1007/bf00276132openalex-snapshot
A generalized diffusion model for growth and dispersal in a population
inferredcites →https://doi.org/10.1007/bf00276349openalex-snapshot
A bifurcation analysis of pattern formation in a diffusion governed morphogenetic field
inferredcites →https://doi.org/10.1007/bf00276413openalex-snapshot
Hysteresis, oscillations, and pattern formation in realistic immobilized enzyme systems
inferredcites →https://doi.org/10.1007/bf00289234openalex-snapshot
A theory of biological pattern formation
inferredcites →https://doi.org/10.1007/bf00848084openalex-snapshot
Regionalisation of segment-forming capacities during early embryogenesis inDrosophila melanogaster
inferredcites →https://doi.org/10.1007/bf02462997openalex-snapshot
Analytical treatment of pattern formation in the Gierer-Meinhardt model of morphogenesis
inferredcites →https://doi.org/10.1007/bfb0060079openalex-snapshot
Topics in Stability and Bifurcation Theory
inferredcites →https://doi.org/10.1016/0012-1606(77)90173-7openalex-snapshot
A morphogenetic determinant in the anterior pole of an insect egg (Smittia spec., Chironomidae, Diptera)
inferredcites →https://doi.org/10.1016/0022-5193(74)90128-3openalex-snapshot
How well does Turing's theory of morphogenesis work?
inferredcites →https://doi.org/10.1016/0022-5193(78)90332-6openalex-snapshot
On a diffusive prey-predator model which exhibits patchiness
inferredcites →https://doi.org/10.1016/0022-5193(79)90011-0openalex-snapshot
Turing's conditions and the analysis of morphogenetic models
inferredcites →https://doi.org/10.1016/0022-5193(81)90334-9openalex-snapshot
A Pre-pattern formation mechanism for animal coat markings
inferredcites →https://doi.org/10.1016/0167-2789(81)90032-4openalex-snapshot
A mathematical model for pattern formation in biological systems
inferredcites →https://doi.org/10.1016/s0022-5193(80)80024-5openalex-snapshot
Pattern formation by reaction-diffusion instabilities: Application to morphogenesis in Drosophila
inferredcites →https://doi.org/10.1073/pnas.74.5.2050openalex-snapshot
Interaction of different egg parts in determination of various body regions in Drosophila melanogaster.
inferredcites →https://doi.org/10.1093/icb/17.3.565openalex-snapshot
Determination During Early Embryogenesis inDrosophila melanogaster
inferredcites →https://doi.org/10.1098/rstb.1952.0012openalex-snapshot
The chemical basis of morphogenesis
inferredcites →https://doi.org/10.1098/rstb.1981.0151openalex-snapshot
Some physical, mathematical and evolutionary aspects of biological pattern formation
inferredcites →https://doi.org/10.1098/rstb.1981.0155openalex-snapshot
On pattern formation mechanisms for lepidopteran wing patterns and mammalian coat markings
inferredcites →https://doi.org/10.1098/rstb.1981.0161openalex-snapshot
Pattern formation in the Drosophila embryo
inferredcites →https://doi.org/10.1111/j.1749-6632.1979.tb29476.xopenalex-snapshot
Bifurcation Diagram of Model Chemical Reactions
inferredcites →https://doi.org/10.1111/j.1751-1097.1973.tb06435.xopenalex-snapshot
ACTION SPECTRA FOR UV INDUCTION AND PHOTOREVERSAL OF A SWITCH IN THE DEVELOPMENTAL PROGRAM OF THE EGG OF AN INSECT (SMITTIA)*
inferredcites →https://doi.org/10.1126/science.413193openalex-snapshot
Control of Sequential Compartment Formation in Drosophila
inferredcites →https://doi.org/10.1137/0132032openalex-snapshot
A Model Biochemical Reaction Exhibiting Secondary Bifurcation

What points at this work

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

inferred← citeshttps://doi.org/10.1006/jmaa.1997.5594openalex-snapshot
Nonlinear Evolution of the Kelvin–Helmholtz Instability of Supersonic Tangential Velocity Discontinuities
inferred← citeshttps://doi.org/10.1007/978-3-642-93318-9_4openalex-snapshot
An Analysis of One- and Two-Dimensional Patterns in a Mechanical Model for Morphogenesis
inferred← citeshttps://doi.org/10.1007/bf00163040openalex-snapshot
Spatio-temporal patterns in a mechanical model for mesenchymal morphogenesis
inferred← citeshttps://doi.org/10.1007/bfb0074734openalex-snapshot
A mechanical model for biological pattern formation: A nonlinear bifurcation analysis
inferred← citeshttps://doi.org/10.1007/s00211-013-0591-zopenalex-snapshot
A three level finite element approximation of a pattern formation model in developmental biology
inferred← citeshttps://doi.org/10.1016/0301-4622(91)87010-3openalex-snapshot
A dynamical model for phospholipid—calcium binding
inferred← citeshttps://doi.org/10.1016/0303-2647(90)90037-2openalex-snapshot
Density dependent diffusional model of an infective population
inferred← citeshttps://doi.org/10.1016/j.matcom.2012.02.009openalex-snapshot
Long-time behavior of the solutions of Murray–Thomas model for interacting chemicals
inferred← citeshttps://doi.org/10.1016/j.matcom.2021.10.030openalex-snapshot
Localised spatial structures in the Thomas model
inferred← citeshttps://doi.org/10.1016/s0022-5193(87)80211-4openalex-snapshot
Discrete systems, cell-cell interactions and color pattern of animals. I. Conflicting dynamics and pattern formation
inferred← citeshttps://doi.org/10.1051/mmnp/2022007openalex-snapshot
Spatiotemporal pattern formation in a prey–predator model with generalist predator
inferred← citeshttps://doi.org/10.1051/mmnp/2022032openalex-snapshot
Analytical detection of stationary turing pattern in a predator-prey system with generalist predator
inferred← citeshttps://doi.org/10.1090/qam/1955223openalex-snapshot
Quasiperiodicity and chaos in the nonlinear evolution of the Kelvin-Helmholtz instability of supersonic anisotropic tangential velocity discontinuities
inferred← citeshttps://doi.org/10.1103/physreve.71.041903openalex-snapshot
Using cell potential energy to model the dynamics of adhesive biological cells
inferred← citeshttps://doi.org/10.1137/0150037openalex-snapshot
Analysis of a Model for Complex Skin Patterns
inferred← citeshttps://doi.org/10.1137/s0036139993247252openalex-snapshot
Analysis of Spatial Structure in a Predator-Prey Model with Delay II: Nonlinear Theory
inferred← citeshttps://doi.org/10.5541/ijot.1034000147openalex-snapshot
Review - Stability of Transport and Rate Processes
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