Competitive exclusion in phytoplankton communities in a eutrophic water column

DOI10.3934/DCDSB.2020361zbMath1466.35240OpenAlexW3111234550MaRDI QIDQ2033415

King-Yeung Lam, Robert Stephen Cantrell

Publication date: 17 June 2021

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2020361

zbMATH Keywords

asymptotic behaviormultiple speciesnonlocal reaction-diffusion systemsnormalized principal bundle for linear parabolic equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Integro-partial differential equations (35R09) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (2)

On the Evolution of Slow Dispersal in MultiSpecies Communities ⋮ Competitive exclusion in a nonlocal reaction-diffusion-advection model of phytoplankton populations

Cites Work

• Existence and nonexistence of positive steady states in multi-species phytoplankton dynamics
• 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
• Globally positive solutions of linear parabolic PDEs of second order with Robin boundary conditions
• The principal Floquet bundle and exponential separation for linear parabolic equations
• Existence, uniqueness, stability and bifurcation of periodic patterns for a seasonal single phytoplankton model with self-shading effect
• Harnack inequalities, exponential separation, and perturbations of principal Floquet bundles for linear parabolic equations
• Harnack inequality and exponential separation for oblique derivative problems on Lipschitz domains
• A nonlocal and periodic reaction-diffusion-advection model of a single phytoplankton species
• Monotonicity and Global Dynamics of a Nonlocal Two-Species Phytoplankton Model
• 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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