Coherent Structures in a Population Model for Mussel-Algae Interaction

DOI10.1137/130949944zbMath1314.35196OpenAlexW211828493MaRDI QIDQ5258570

Vahagn Manukian, Anna Ghazaryan

Publication date: 23 June 2015

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

Full work available at URL: https://semanticscholar.org/paper/dc4e2ae199e01ae55a108899643fba348e44cd67

zbMATH Keywords

population dynamicsbifurcation theorytraveling wavegeometric singular perturbation theory

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Pattern formations in context of PDEs (35B36)

Related Items (13)

Turing-Hopf bifurcation in a diffusive mussel-algae model with time-fractional-order derivative ⋮ How does tidal flow affect pattern formation in mussel beds? ⋮ Dynamics and pattern formation in a reaction-diffusion-advection mussel-algae model ⋮ Spatiotemporal dynamics for a diffusive mussel-algae model near a Hopf bifurcation point ⋮ Travelling waves in diffusive Leslie-Gower prey-predator model ⋮ Dynamics of a diffusive mussel-algae system in closed advective environments ⋮ Spatiotemporal Dynamics of the Diffusive Mussel-Algae Model Near Turing-Hopf Bifurcation ⋮ Wavetrain Solutions of a Reaction-Diffusion-Advection Model of Mussel-Algae Interaction ⋮ Using Numerical Bifurcation Analysis to Study Pattern Formation in Mussel Beds ⋮ Large scale patterns in mussel beds: stripes or spots? ⋮ A comparison of the ``reduced losses and ``increased production models for mussel bed dynamics ⋮ Spatiotemporal Patterns in a Delayed Reaction–Diffusion Mussel–Algae Model ⋮ Fisher-KPP dynamics in diffusive Rosenzweig–MacArthur and Holling–Tanner models

Uses Software

• AUTO

Cites Work

• Rotated vector fields
• On a class of complete polynomial vector fields in the plane
• Geometric singular perturbation theory for ordinary differential equations
• Qualitative theory of planar differential systems
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• Asymptotic states for equations of reaction and diffusion
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