A bifurcation analysis of a simple phytoplankton and zooplankton model

DOI10.1016/J.MCM.2006.06.004zbMath1169.92045OpenAlexW1973486263MaRDI QIDQ1025685

J. Martínez

Publication date: 23 June 2009

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2006.06.004

zbMATH Keywords

global stabilitylocal stabilityHopf bifurcationsteady stateslimit point

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Stability of solutions to ordinary differential equations (34D20) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60)

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Uses Software

• AUTO-86
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Cites Work

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• A strategic model of material cycling in a closed ecosystem
• The dynamics of a model of a plankton-nutrient interaction
• The attractiveness of the Droop equations
• The attractiveness of the Droop equations. II: Generic uptake and growth functions
• Dynamics of variable-yield nutrient-phytoplankton-zooplankton models with nutrient recycling and self-shading
• Competition for a Single Limiting Resource in Continuous Culture: The Variable-Yield Model
• The Theory of the Chemostat

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