Global dynamics of a nonlocal reaction-diffusion-advection two-species phytoplankton model

Reaction-diffusion equations (35K57) Groups and semigroups of linear operators (47D03) General biology and biomathematics (92B05) Integro-partial differential equations (35R09) Initial-boundary value problems for second-order parabolic systems (35K51) Monotone flows as dynamical systems (37C65)

Cites Work

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Existence and nonexistence of positive steady states in multi-species phytoplankton dynamics
Effects of diffusion and advection on the principal eigenvalue of a periodic-parabolic problem with applications
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
Elliptic partial differential equations of second order
Global dynamics of a Lotka-Volterra competition-diffusion-advection system in heterogeneous environments
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On a nonlocal reaction–diffusion–advection equation modelling phytoplankton dynamics
On an abstract competition model and applications
Perturbation of a globally stable steady state
Spatial Ecology via Reaction‐Diffusion Equations
Monotonicity and Global Dynamics of a Nonlocal Two-Species Phytoplankton Model
Competitive exclusion and coexistence for competitive systems on ordered Banach spaces
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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
Dynamical systems in population biology

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