Wavetrain Solutions of a Reaction-Diffusion-Advection Model of Mussel-Algae Interaction

DOI10.1137/15M1040463zbMath1434.35256OpenAlexW2587012296MaRDI QIDQ2967811

Nikola Popović, Matt Holzer

Publication date: 2 March 2017

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m1040463

zbMATH Keywords

geometric singular perturbation theoryreaction-diffusion-advection equationgeometric desingularizationperiodic wavetrain

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Traveling wave solutions (35C07) Pattern formations in context of PDEs (35B36) Mixed-type systems of PDEs (35M30)

Related Items (7)

Traveling Stripes in the Klausmeier Model of Vegetation Pattern Formation ⋮ Stability analysis and optimal harvesting control of a cross-diffusion prey-predator system ⋮ Pushed fronts in a Fisher-KPP-Burgers system using geometric desingularization ⋮ Global analysis and Hopf-bifurcation in a cross-diffusion prey-predator system with fear effect and predator cannibalism ⋮ Large scale patterns in mussel beds: stripes or spots? ⋮ A stochastic mussel-algae model under regime switching ⋮ Long-time behaviors of two stochastic mussel-algae models

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