An examination of the thresholds of enrichment: A resource-based growth model

DOI10.1007/BF00176381zbMath0819.92025OpenAlexW2034171352MaRDI QIDQ1345898

Gail S. K. Wolkowicz, Mary M. Ballyk

Publication date: 31 August 1995

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00176381

zbMATH Keywords

survivalasymptotic behaviourextinctionchemostatthresholdaquatic ecosystemsmicrobial populationdilution rateseffects of enrichmentsingle-species growth

Mathematics Subject Classification ID

Ecology (92D40) Qualitative theory for ordinary differential equations (34C99)

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Global analysis of competition for perfectly substitutable resources with linear response ⋮ A search for maximum species abundances in ecological communities under conditional diversity optimization ⋮ Ergodic stationary distribution of a stochastic chemostat model with regime switching ⋮ The threshold of a chemostat model with single-species growth on two nutrients under telegraph noise ⋮ Classical and resource-based competition: a unifying graphical approach ⋮ Oscillatory behaviour control in a continuous culture under double-substrate limitation ⋮ Threshold dynamics of a stochastic chemostat model with two nutrients and one microorganism ⋮ A system of resource-based growth models with two resources in the unstirred chemostat ⋮ Stationary distribution and periodic solution of stochastic chemostat models with single-species growth on two nutrients ⋮ Predicting stability of mixed microbial cultures from single species experiments. I: Phenomenological model ⋮ Global attractivity in a periodic chemostat with general uptake functions

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