Existence, uniqueness, stability and bifurcation of periodic patterns for a seasonal single phytoplankton model with self-shading effect
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Publication:1785933
DOI10.1016/J.JDE.2017.06.029zbMath1396.35037OpenAlexW2731264069MaRDI QIDQ1785933
Publication date: 2 October 2018
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2017.06.029
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Perturbations in context of PDEs (35B20)
Related Items (12)
Selected Topics on Reaction-Diffusion-Advection Models from Spatial Ecology ⋮ Coexistence and competitive exclusion in a time-periodic Lotka-Volterra competition-diffusion system ⋮ Concentration phenomenon of single phytoplankton species with changing-sign advection term ⋮ Spatial dynamics of a juvenile-adult model with impulsive harvesting and evolving domain ⋮ Effects of depth and evolving rate on phytoplankton growth in a periodically evolving environment ⋮ Niche differentiation in the light spectrum promotes coexistence of phytoplankton species: a spatial modelling approach ⋮ Monotonicity and Global Dynamics of a Nonlocal Two-Species Phytoplankton Model ⋮ Competitive exclusion in phytoplankton communities in a eutrophic water column ⋮ Threshold dynamics of a diffusive nonlocal phytoplankton model with age structure ⋮ Asymptotics of the Principal Eigenvalue for a Linear Time-Periodic Parabolic Operator I: Large Advection ⋮ Competitive exclusion in a nonlocal reaction-diffusion-advection model of phytoplankton populations ⋮ Bifurcation analysis of solutions to a nonlocal phytoplankton model under photoinhibition
Cites Work
- Effects of competition and shading in planktonic communities
- 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
- Bifurcation from simple eigenvalues
- A nonlocal and periodic reaction-diffusion-advection model of a single phytoplankton species
- On a nonlocal reaction–diffusion–advection equation modelling phytoplankton dynamics
- 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
- Unnamed Item
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