Transient behavior of biological loop models with application to the Droop model
From MaRDI portal
Publication:1804841
DOI10.1016/0025-5564(94)00040-7zbMath0822.92001OpenAlexW2127840708WikidataQ52342324 ScholiaQ52342324MaRDI QIDQ1804841
Olivier Bernard, Jean-Luc Gouzé
Publication date: 17 October 1995
Published in: Mathematical Biosciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0025-5564(94)00040-7
global stabilityequilibriumtransient behaviornonlinear differential systemsextremasign conditionsDroop model
Applications of graph theory (05C90) Ecology (92D40) General systems theory (93A99) General biology and biomathematics (92B05)
Related Items
Dynamic coupling of photoacclimation and photoinhibition in a model of microalgae growth, Dynamics of the periodically forced light-limited droop model, Modeling continuous cultures of microalgae colimited by nitrogen and phosphorus, Analysis of photobioreactors in series, A time-space model for the growth of microalgae biofilms for biofuel production, Hybrid matrix models and their population dynamic consequences, Global qualitative description of a class of nonlinear dynamical systems, Qualitative control of undesired oscillations in a genetic negative feedback loop with uncertain measurements, Competition between phytoplankton and bacteria: exclusion and coexistence
Cites Work
- Logical identification of all steady states: The concept of feedback loop characteristic states
- Qualitative stability of certain nonlinear systems
- Qualitative theory of a third-order nonlinear system with examples in population dynamics and chemical kinetics
- On the validity of the steady state assumption of enzyme kinetics
- The attractiveness of the Droop equations
- Stable oscillations in mathematical models of biological control systems
- Qualitative Theory of Compartmental Systems
- Unnamed Item
- Unnamed Item
- Unnamed Item