A nonlocal and periodic reaction-diffusion-advection model of a single phytoplankton species
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Publication:2634752
DOI10.1007/s00285-015-0904-1zbMath1339.35336OpenAlexW598307235WikidataQ46716435 ScholiaQ46716435MaRDI QIDQ2634752
Publication date: 18 February 2016
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00285-015-0904-1
Reaction-diffusion equations (35K57) General topics in linear spectral theory for PDEs (35P05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Ecology (92D40)
Related Items (23)
Selected Topics on Reaction-Diffusion-Advection Models from Spatial Ecology ⋮ Single phytoplankton species growth with light and crowding effect in a water column ⋮ Dynamics of autotroph–mixotroph interactions with the intraguild predation structure ⋮ Stationary pattern of a reaction-diffusion mussel-algae model ⋮ Modeling the spatiotemporal variations in brucellosis transmission ⋮ Interactions Between Pelagic and Benthic Producers: Asymmetric Competition for Light and Nutrients ⋮ Concentration phenomenon of single phytoplankton species with changing-sign advection term ⋮ Effects of depth and evolving rate on phytoplankton growth in a periodically evolving environment ⋮ 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 ⋮ Phytoplankton competition for nutrients and light in a stratified lake: a mathematical model connecting epilimnion and hypolimnion ⋮ 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 ⋮ 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 ⋮ Asymptotics of the Principal Eigenvalue for a Linear Time-Periodic Parabolic Operator I: Large Advection ⋮ Asymptotic Behavior of the Principal Eigenvalue of a Linear Second Order Elliptic Operator with Small/Large Diffusion Coefficient ⋮ Dynamics of stoichiometric autotroph-mixotroph-bacteria interactions in the epilimnion ⋮ Spatial diffusion and periodic evolving of domain in an SIS epidemic model ⋮ Competitive exclusion in a nonlocal reaction-diffusion-advection model of phytoplankton populations ⋮ Stability and asymptotic profile of steady state solutions to a reaction-diffusion pelagic-benthic algae growth model ⋮ Effects of non-local competition on plankton–fish dynamics ⋮ Bifurcation analysis of solutions to a nonlocal phytoplankton model under photoinhibition
Cites Work
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- On a nonlocal parabolic problem arising in electrostatic MEMS control
- Existence and nonexistence of positive steady states in multi-species phytoplankton dynamics
- On the biological interpretation of a definition for the parameter \(R _{0}\) in periodic population models
- Effects of heterogeneity on spread and persistence in rivers
- Effects of diffusion and advection on the principal eigenvalue of a periodic-parabolic problem with applications
- On a nonlocal reaction-diffusion-advection system modeling phytoplankton growth with light and nutrients
- On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
- Phytoplankton depth profiles and their transitions near the critical sinking velocity
- Critical conditions for phytoplankton blooms
- Threshold dynamics for compartmental epidemic models in periodic environments
- 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
- A priori bounds and multiple solutions for superlinear indefinite elliptic problems
- The evolution of dispersal rates in a heterogeneous time-periodic environment
- Vertical distribution and composition of phytoplankton under the influence of an upper mixed layer
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- The epidemic threshold of vector-borne diseases with seasonality
- Persistence, spread and the drift paradox
- Estimates for the principal spectrum point for certain time-dependent parabolic operators
- A reaction–diffusion SIS epidemic model in a time-periodic environment
- $R_0$ Analysis of a Spatiotemporal Model for a Stream Population
- A Nonlocal and Time-Delayed Reaction-Diffusion Model of Dengue Transmission
- On a nonlocal reaction–diffusion–advection equation modelling phytoplankton dynamics
- Monotone iterative sequences for non-local elliptic problems
- Blooming in a Nonlocal, Coupled Phytoplankton-Nutrient Model
- LPBounds of solutions of reaction-diffusion equations
- Dissipativity and global attractors for a class of quasilinear parabolic systems
- 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
- 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
- Global Attractors and Steady States for Uniformly Persistent Dynamical Systems
- Dynamical systems in population biology
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