The spatial dynamics of a zebrafish model with cross-diffusions

DOI10.3934/MBE.2017054zbMath1364.35394OpenAlexW2597851951WikidataQ47804086 ScholiaQ47804086MaRDI QIDQ523880

Linhe Zhu, Hongyong Zhao, Qianjin Zhang

Publication date: 24 April 2017

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2017054

zbMATH Keywords

Hopf bifurcationamplitude equationpattern selectionTuring bifurcationcross-diffusionszebrafish

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stability of solutions to ordinary differential equations (34D20) Developmental biology, pattern formation (92C15) Asymptotic properties of solutions to ordinary differential equations (34D05) Bifurcations in context of PDEs (35B32)

Related Items (1)

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Cites Work

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• Tailoring and coupling of reaction-diffusion systems to obtain reproducible complex pattern formation during development of the higher organisms
• Stripes, spots, or reversed spots in two-dimensional Turing systems
• Labyrinthine versus straight-striped patterns generated by two-dimensional Turing systems
• Pattern formation in the presence of symmetries

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