Concentration phenomenon of single phytoplankton species with changing-sign advection term

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Population dynamics (general) (92D25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Cites Work

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Concentration phenomenon in a nonlocal equation modeling phytoplankton growth
Effects of diffusion and advection on the principal eigenvalue of a periodic-parabolic problem with applications
Critical conditions for phytoplankton blooms
Geometric theory of semilinear parabolic equations
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
Persistence and coexistence in zooplankton-phytoplankton-nutrient models with instantaneous nutrient recycling
On reaction-diffusion systems of zooplankton-phytoplankton-nutrient models
Spatiotemporal pattern formation and selection induced by nonlinear cross-diffusion in a toxic-phytoplankton-zooplankton model with Allee effect
Existence, uniqueness, stability and bifurcation of periodic patterns for a seasonal single phytoplankton model with self-shading effect
A model of algal growth depending on nutrients and inorganic carbon in a poorly mixed water column
Competitive exclusion in a nonlocal reaction-diffusion-advection model of phytoplankton populations
Algae-bacteria interactions with nutrients and light: a reaction-diffusion-advection model
Effects of depth and evolving rate on phytoplankton growth in a periodically evolving environment
Multiple steady-states in phytoplankton population induced by photoinhibition
The vertical distribution of phytoplankton in stratified water columns
Threshold dynamics of a diffusive nonlocal phytoplankton model with age structure
A nonlocal and periodic reaction-diffusion-advection model of a single phytoplankton species
Disruption of Vertical Motility by Shear Triggers Formation of Thin Phytoplankton Layers
On a nonlocal reaction–diffusion–advection equation modelling phytoplankton dynamics
Effects of large degenerate advection and boundary conditions on the principal eigenvalue and its eigenfunction of a linear second order elliptic operator
Blooming in a Nonlocal, Coupled Phytoplankton-Nutrient Model
Principal eigenvalue and eigenfunctions of an elliptic operator with large advection and its application to a competition model
Spatial Ecology via Reaction‐Diffusion Equations
Monotonicity and Global Dynamics of a Nonlocal Two-Species Phytoplankton Model
Effects of diffusion and advection on the smallest eigenvalue of an elliptic operator and their applications
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
Cross-Diffusion Induced Turing Instability and Amplitude Equation for a Toxic-Phytoplankton–Zooplankton Model with Nonmonotonic Functional Response
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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