Mathematical models of microbial growth and competition in the chemostat regulated by cell-bound extracellular enzymes

DOI10.1007/BF00163841zbMath0763.92004OpenAlexW2044888795MaRDI QIDQ1202557

Gail S. K. Wolkowicz, Betty K. P. Tang

Publication date: 25 February 1993

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

Full work available at URL: https://doi.org/10.1007/bf00163841

zbMATH Keywords

survivalgrowthchemostatmicroorganismscompetitive interactionswashoutcell-bound extra- cellular enzymescompetitive coexistence steady statesgrowth-limiting nutrientnutrient conversionsigmoidal response functions

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Population dynamics (general) (92D25) Ecology (92D40)

Related Items (10)

Multiple limit cycles in the chemostat with variable yield ⋮ Limit cycles in a chemostat with general variable yields and growth rates ⋮ Remarks on output feedback stabilization of two-species chemostat models ⋮ Toxic action and antibiotic in the chemostat: Permanence and extinction of a model with functional response ⋮ Relative positions of limit cycles in the continuous culture vessel with variable yield ⋮ A three-dimensional chemostat with quadratic yields ⋮ Multiple limit cycles in a continuous culture vessel with variable yield ⋮ Qualitative analysis of a variable yield turbidostat model with impulsive state feedback control ⋮ Transient oscillations induced by delayed growth response in the chemostat ⋮ A three dimensional chemostat with quadratic yields

Cites Work

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• Predator-mediated competition in the chemostat
• A Mathematical Model of the Chemostat with a General Class of Functions Describing Nutrient Uptake
• Competing Subcommunities of Mutualists and a Generalized Kamke Theorem
• Coexistence in a Model of Competition in the Chemostat Incorporating Discrete Delays
• Global Dynamics of a Mathematical Model of Competition in the Chemostat: General Response Functions and Differential Death Rates
• A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms
• Limiting Behavior for Competing Species

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