Effects of time lags on transient characteristics of a nutrient cycling model

DOI10.1016/0025-5564(92)90043-VzbMath0748.92014OpenAlexW2043610145WikidataQ39260091 ScholiaQ39260091MaRDI QIDQ1193509

Gian-Italo Bischi

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1016/0025-5564(92)90043-v

zbMATH Keywords

algorithmsperturbationstable equilibriumtime lagresiliencechemostat equationslimiting nutrient cyclingnutrient regeneration from organic sedimentsquasi-closed ecosystems

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Stability theory for integral equations (45M10) Ecology (92D40) Computational methods for problems pertaining to biology (92-08)

Related Items (12)

Bifurcation analysis of a chemostat model with two distributed delays ⋮ The effect of delays on stability and persistence in plankton models ⋮ Asymptotic properties of a stochastic chemostat model with two distributed delays and nonlinear perturbation ⋮ Modeling the role of constant and time varying recycling delay on an ecological food chain ⋮ Role of different system delays on ecological food chain dynamics: Mathematical modelling and analysis ⋮ Spatio-temporal delays in a nutrient-plankton model on a finite domain: Linear stability and bifurcations ⋮ Periodic oscillations in a chemostat model with two discrete delays ⋮ Hopf Bifurcation and Stability Crossing Curve in a Planktonic Resource–Consumer System with Double Delays ⋮ Dynamic monopoly with multiple continuously distributed time delays ⋮ Dynamics of the interaction of plankton and planktivorous fish with delay ⋮ Global asymptotic behavior in chemostat-type competition models with delay ⋮ A mathematical model of the dynamics of the phytoplankton-nutrient system

Cites Work

• A strategic model of material cycling in a closed ecosystem
• The dynamics of a model of a plankton-nutrient interaction
• Harmless delays in model systems
• Stability in chemostat equations with delayed recycling
• Decay Rates for Solutions of a Class of Differential-Difference Equations
• A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms
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