Predicting stability of mixed microbial cultures from single species experiments. I: Phenomenological model

DOI10.1016/j.mbs.2004.10.003zbMath1074.92043OpenAlexW4253191054WikidataQ51559588 ScholiaQ51559588MaRDI QIDQ2565822

Gregory T. Reeves, Sergei S. Pilyugin, Atul Narang

Publication date: 28 September 2005

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

Full work available at URL: https://doi.org/10.1016/j.mbs.2004.10.003

zbMATH Keywords

CoexistenceConsumption curveGrowth isoclineMicrobial growthMixed culturesMutual uptake inhibitionPhenomenological modelSubstitutable substrates

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Ecology (92D40) Cell biology (92C37)

Related Items (4)

Global analysis of competition for perfectly substitutable resources with linear response ⋮ Classical and resource-based competition: a unifying graphical approach ⋮ Stability and stabilization for models of chemostats with multiple limiting substrates ⋮ Predicting stability of mixed microbial cultures from single species experiments. II: Physiological model

Cites Work

• Exploitative competition in a chemostat for two complementary, and possibly inhibitory, resources
• Exploitative competition in the chemostat for two perfectly substitutable resources
• Asymptotically autonomous differential equations in the plane
• An examination of the thresholds of enrichment: A resource-based growth model
• Microbial Competition
• 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
• The Theory of the Chemostat

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