Soliton behaviour in a bistable reaction diffusion model

DOI10.1007/S00285-007-0071-0zbMath1149.35372OpenAlexW1968373540WikidataQ51913781 ScholiaQ51913781MaRDI QIDQ938078

B. E. Eshmatov

Publication date: 18 August 2008

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

Full work available at URL: https://doi.org/10.1007/s00285-007-0071-0

zbMATH Keywords

Turing-Hopf bifurcationcollisions and interactions between solitonsoscillating Turing patternstraveling front waves

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Developmental biology, pattern formation (92C15) Soliton equations (35Q51)

Related Items (5)

Turing models of cortical folding on exponentially and logistically growing domains ⋮ The influence of gene expression time delays on Gierer-Meinhardt pattern formation systems ⋮ Existence of solitary solutions in systems of PDEs with multiplicative polynomial coupling ⋮ Pattern formation in Turing systems on domains with exponentially growing structures ⋮ Dissipative solitons with energy and matter flows: fundamental building blocks for the world of living organisms

Cites Work

• A two-dimensional numerical study of spatial pattern formation in interacting Turing systems
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• The effect of growth and curvature on pattern formation
• The chemical basis of morphogenesis
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