A MATHEMATICAL MODEL FOR PHYTOPLANKTON

DOI10.1142/S0218202502001945zbMath1026.92049OpenAlexW2086764826MaRDI QIDQ4798992

Khalid Boushaba, Ahmed Boussouar, Ovide Arino

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202502001945

zbMATH Keywords

semigroupbifurcationmethod of linesphytoplankton dynamicsvertical diffusionnontrivial steady statesea currents

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Ecology (92D40) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Applications of operator theory to differential and integral equations (47N20) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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Periodic solutions in modelling lagoon ecological interactions ⋮ On the Well-Posedness of a Coupled One-Dimensional Biological-Physical Model for the Upper Ocean ⋮ A mathematical model of the dynamics of the phytoplankton-nutrient system ⋮ A two or three compartments hyperbolic reaction-diffusion model for the aquatic food chain

Cites Work

• Effects of competition and shading in planktonic communities
• 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
• Food chains in the chemostat: Relationships between mean yield and complex dynamics
• Critical phenomena in plankton communities: KISS model revisited
• Spatio-temporal pattern formation in coupled models of plankton dynamics and fish school motion
• A mathematical model of the dynamics of the phytoplankton-nutrient system
• Seasonality and chaos in a plankton-fish model
• Linear Operators in Complete Positive Cones
• Turing instability and travelling waves in diffusive plankton models with delayed nutrient recycling
• Global Stability in Chemostat-Type Competition Models with Nutrient Recycling
• The effect of delays on stability and persistence in plankton models

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