Shadow system approach to a plankton model generating harmful algal bloom

DOI10.3934/DCDS.2017034zbMath1359.35202OpenAlexW2557788265MaRDI QIDQ501470

Masayasu Mimura, Hideo Ikeda, Tommaso Scotti

Publication date: 9 January 2017

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2017034

zbMATH Keywords

shadow systemharmful algal bloomplankton model

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Ecology (92D40) Bifurcations in context of PDEs (35B32) Pattern formations in context of PDEs (35B36)

Related Items (3)

Singular perturbation approach to a plankton model generating harmful algal bloom ⋮ A mathematical model of algae growth in a pelagic-benthic coupled shallow aquatic ecosystem ⋮ The spatially heterogeneous diffusive rabies model and its shadow system

Cites Work

• Qualitative analysis of a Lotka-Volterra competition system with advection
• Global bifurcation structure of positive stationary solutions for a classical Lotka-Volterra competition model with diffusion
• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• Bifurcation from simple eigenvalues
• Asymptotic behavior of a competition—diffusion system in population dynamics
• Global Structure of Bifurcating Solutions of Some Reaction-Diffusion Systems
• The chemical basis of morphogenesis

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