A mathematical model of the dynamics of the phytoplankton-nutrient system
From MaRDI portal
Publication:1586525
DOI10.1016/S0362-546X(99)00394-6zbMath0984.92032OpenAlexW1998821295MaRDI QIDQ1586525
Ahmed Boussouar, Khalid Boushaba, Ovide Arino
Publication date: 12 May 2002
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0362-546x(99)00394-6
Lumer-Phillips theoremvertical diffusionirradiancehorizontal advectionMichaelis-Menten nonlinearityphytoplankton-nutrient system
Dynamical systems in biology (37N25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Ecology (92D40)
Related Items (27)
Approximate controllability of second order impulsive systems with state-dependent delay in Banach spaces ⋮ Global existence results for neutral functional differential equations with state-dependent delay ⋮ Analysis of a time optimal control problem related to the management of a bioreactor ⋮ A MATHEMATICAL MODEL FOR PHYTOPLANKTON ⋮ Existence results for partial neutral functional differential equations with state-dependent delay ⋮ A note on partial functional differential equations with state-dependent delay ⋮ Global stability and Hopf bifurcation of a plankton model with time delay ⋮ Global existence results for second order functional differential equations with delay ⋮ On state-dependent delay partial neutral functional--differential equations ⋮ Functional implicit hyperbolic fractional order differential equations with delay ⋮ Nonlinear impulsive partial functional differential inclusions with state-dependent delay and multivalued jumps ⋮ Optimal control of eutrophication processes in a moving domain ⋮ Existence results for an impulsive abstract partial differential equation with state-dependent delay ⋮ Approximate controllability of impulsive fractional evolution equations of order 1<α<2$$ 1&amp;amp;lt;\alpha &amp;amp;lt;2 $$ with state‐dependent delay in Banach spaces ⋮ On fractional integro-differential equations with state-dependent delay ⋮ Unnamed Item ⋮ Spatial dynamics of a nutrient-phytoplankton system with toxic effect on phytoplankton ⋮ Mathematical analysis of a three-dimensional eutrophication model ⋮ Existence results for an impulsive neutral functional differential equation with state-dependent delay ⋮ On state-dependent delay partial neutral functional integro-differential equations ⋮ An arbitrary Lagrangian Eulerian formulation for a 3D eutrophication model in a moving domain ⋮ Optimal control of a bioreactor ⋮ Existence of solution of impulsive second order neutral integro- differential equations with state delay ⋮ EXISTENCE RESULTS FOR NONDENSELY DEFINED IMPULSIVE SEMILINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY ⋮ Global existence results for neutral functional differential inclusions with state-dependent delay ⋮ Existence of solutions for some nonautonomous partial functional differential equations with state-dependent delay ⋮ Approximate Controllability of Second-Order Systems with State-Dependent Delay
Cites Work
- Unnamed Item
- Zooplankton mortality and the dynamical behaviour of plankton population models
- Semigroups of linear operators and applications to partial differential equations
- Stability in chemostat equations with delayed recycling
- Effects of time lags on transient characteristics of a nutrient cycling model
- Qualitative properties of chemostat equations with time delays. II
- Theory and applications of partial functional differential equations
- Global Stability in Chemostat-Type Competition Models with Nutrient Recycling
- A MATHEMATICAL MODEL FOR PHYTOPLANKTON
This page was built for publication: A mathematical model of the dynamics of the phytoplankton-nutrient system