Blooming in a Nonlocal, Coupled Phytoplankton-Nutrient Model

DOI10.1137/070693692zbMath1178.35041OpenAlexW2129230264MaRDI QIDQ3395065

N. N. Pham Thi, Arjen Doelman, Antonios Zagaris, B. P. Sommeijer

Publication date: 20 August 2009

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

Full work available at URL: https://ir.cwi.nl/pub/11626

zbMATH Keywords

eigenvalue analysisSturm-LiouvilleAiry functionssecondary bifurcationsWentzel-Kramers-Brillouin (WKB) method

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Singular perturbations in context of PDEs (35B25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Sturm-Liouville theory (34B24) Ecology (92D40) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Bifurcations in context of PDEs (35B32) Pattern formations in context of PDEs (35B36)

Related Items (10)

A nonlocal and periodic reaction-diffusion-advection model of a single phytoplankton species ⋮ The effect of slow spatial processes on emerging spatiotemporal patterns ⋮ Concentration phenomenon of single phytoplankton species with changing-sign advection term ⋮ Bloom Formation and Turing Patterns in an Infochemical Mediated Multitrophic Plankton Model ⋮ A mathematical model of algae growth in a pelagic-benthic coupled shallow aquatic ecosystem ⋮ A dynamical approach to phytoplankton blooms ⋮ Multiple steady-states in phytoplankton population induced by photoinhibition ⋮ Threshold dynamics of a diffusive nonlocal phytoplankton model with age structure ⋮ Stability and asymptotic profile of steady state solutions to a reaction-diffusion pelagic-benthic algae growth model ⋮ Tracking pattern evolution through extended center manifold reduction and singular perturbations

Uses Software

• VODE

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