Multiple steady-states in phytoplankton population induced by photoinhibition

DOI10.1016/j.jde.2014.12.012zbMath1330.92104OpenAlexW2062483061MaRDI QIDQ2256005

Sze-Bi Hsu, Yuan Lou, Yihong Du

Publication date: 18 February 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2014.12.012

zbMATH Keywords

reaction-diffusion equationsteady statephytoplanktonphotoinhibition

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25)

Related Items

Selected Topics on Reaction-Diffusion-Advection Models from Spatial Ecology, Single phytoplankton species growth with light and crowding effect in a water column, Concentration phenomenon of single phytoplankton species with changing-sign advection term, Monotonicity and Global Dynamics of a Nonlocal Two-Species Phytoplankton Model, A mathematical model of algae growth in a pelagic-benthic coupled shallow aquatic ecosystem, Threshold dynamics of a diffusive nonlocal phytoplankton model with age structure, A model of algal growth depending on nutrients and inorganic carbon in a poorly mixed water column, Stability and asymptotic profile of steady state solutions to a reaction-diffusion pelagic-benthic algae growth model, Bifurcation analysis of solutions to a nonlocal phytoplankton model under photoinhibition

Cites Work

• Dynamics of phytoplankton communities under photoinhibition
• Phytoplankton depth profiles and their transitions near the critical sinking velocity
• Critical conditions for phytoplankton blooms
• Analysis of the self-shading effect on algal vertical distribution in natural waters
• Global stability of stationary solutions to a nonlinear diffusion equation in phytoplankton dynamics
• The structure of the solution set of a class of nonlinear eigenvalue problems
• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• Some global results for nonlinear eigenvalue problems
• Bifurcation from simple eigenvalues
• On a nonlocal reaction–diffusion–advection equation modelling phytoplankton dynamics
• Blooming in a Nonlocal, Coupled Phytoplankton-Nutrient Model
• Concentration Phenomena in a Nonlocal Quasi-linear Problem Modelling Phytoplankton I: Existence
• Concentration Phenomena in a Nonlocal Quasi-linear Problem Modelling Phytoplankton II: Limiting Profile
• Single Phytoplankton Species Growth with Light and Advection in a Water Column
• On a Nonlocal Reaction-Diffusion Problem Arising from the Modeling of Phytoplankton Growth
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