Competitive exclusion in a nonlocal reaction-diffusion-advection model of phytoplankton populations
DOI10.1016/j.nonrwa.2021.103350zbMath1481.35056OpenAlexW3161895142MaRDI QIDQ2066577
Yuan Lou, King-Yeung Lam, Dan-Hua Jiang
Publication date: 14 January 2022
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2021.103350
integral equationreaction-diffusioninfinite-dimensional dynamical systemcompetitive exclusionphytoplanktonmonotone dynamical system
Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Reaction-diffusion equations (35K57) Estimates of eigenvalues in context of PDEs (35P15) Population dynamics (general) (92D25) Integro-partial differential equations (35R09)
Related Items (3)
Cites Work
- Unnamed Item
- 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
- Global dynamics of a Lotka-Volterra competition-diffusion-advection system in heterogeneous environments
- Global dynamics of a classical Lotka-Volterra competition-diffusion-advection system
- Existence, uniqueness, stability and bifurcation of periodic patterns for a seasonal single phytoplankton model with self-shading effect
- Competitive exclusion in phytoplankton communities in a eutrophic water column
- Stability of Dirac concentrations in an integro-PDE model for evolution of dispersal
- A nonlocal and periodic reaction-diffusion-advection model of a single phytoplankton species
- A remark on the global dynamics of competitive systems on ordered Banach spaces
- Global Dynamics of the Lotka-Volterra Competition-Diffusion System: Diffusion and Spatial Heterogeneity I
- On a nonlocal reaction–diffusion–advection equation modelling phytoplankton dynamics
- Principal eigenvalue and eigenfunctions of an elliptic operator with large advection and its application to a competition model
- On an abstract competition model and applications
- 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
- Resolvent positive linear operators exhibit the reduction phenomenon
- 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
- Dynamical systems in population biology
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