Large scale patterns in mussel beds: stripes or spots?
DOI10.1007/s00285-018-1293-zzbMath1412.35338OpenAlexW2891464280WikidataQ91309330 ScholiaQ91309330MaRDI QIDQ1731938
Jamie J. R. Bennett, Jonathan A. Sherratt
Publication date: 15 March 2019
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00285-018-1293-z
pattern formationTuring-Hopf bifurcationself-organisationactivator-inhibitormussel-algae interactionmusselstranverse perturbationstwo-dimensional stability
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) Perturbations in context of PDEs (35B20) Bifurcations in context of PDEs (35B32) Traveling wave solutions (35C07) Pattern formations in context of PDEs (35B36)
Uses Software
Cites Work
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- How does tidal flow affect pattern formation in mussel beds?
- Numerical continuation methods for studying periodic travelling wave (wavetrain) solutions of partial differential equations
- Exponential time differencing for stiff systems
- Computing spectra of linear operators using the Floquet-Fourier-Hill method
- Nonlinear stability analyses of Turing patterns for a mussel-algae model
- Computing absolute and essential spectra using continuation
- Invasion Generates Periodic Traveling Waves (Wavetrains) in Predator-Prey Models with Nonlocal Dispersal
- Generation of periodic travelling waves in cyclic populations by hostile boundaries
- Wavetrain Solutions of a Reaction-Diffusion-Advection Model of Mussel-Algae Interaction
- Striped pattern selection by advective reaction-diffusion systems: Resilience of banded vegetation on slopes
- Coherent Structures in a Population Model for Mussel-Algae Interaction
