The attractiveness of the Droop equations

DOI10.1016/0025-5564(92)90074-7zbMath0762.92021OpenAlexW2043742729WikidataQ44300015 ScholiaQ44300015MaRDI QIDQ1205300

Francisco J. Oyarzun, Kenneth L. Lange

Publication date: 1 April 1993

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(92)90074-7

zbMATH Keywords

global stabilitychemostatmetabolismattractivenesscell growthcoupled nonlinear differential equationscell quota model for nutrient limitationDroop equationsexternal cellular poolsgrowth of a microorganisminternal nutrient poolMonod equations

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Ecology (92D40) Asymptotic properties of solutions to ordinary differential equations (34D05) Attractors of solutions to ordinary differential equations (34D45) Physiological, cellular and medical topics (92C99)

Related Items (16)

The attractiveness of the Droop equations. II: Generic uptake and growth functions ⋮ Periodic response to periodic forcing of the Droop equations for phytoplankton growth ⋮ Dynamic coupling of photoacclimation and photoinhibition in a model of microalgae growth ⋮ Persistence in variable-yield nutrient-plankton models ⋮ Dynamics of the periodically forced light-limited droop model ⋮ Modeling continuous cultures of microalgae colimited by nitrogen and phosphorus ⋮ Analysis of photobioreactors in series ⋮ Global stability in a chemostat with multiple nutrients ⋮ Transient oscillations induced by delayed growth response in the chemostat ⋮ Transient behavior of biological loop models with application to the Droop model ⋮ Multiple nutrient limitation in unicellulars: reconstructing Liebig's law ⋮ Consequences of population models for the dynamics of food chains ⋮ A bifurcation analysis of a simple phytoplankton and zooplankton model ⋮ Qualitative behavior of a variable-yield simple food chain with an inhibiting nutrient ⋮ Droop models of nutrient-plankton interaction with intratrophic predation ⋮ Competition between phytoplankton and bacteria: exclusion and coexistence

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