Interaction in a chemostat: Introduction of a competitor can promote greater diversity

DOI10.1216/rmjm/1181072300zbMath0824.92028OpenAlexW2047403678MaRDI QIDQ1898332

Spiro P. Daoussis, Gail S. K. Wolkowicz, Mary M. Ballyk

Publication date: 9 November 1995

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072300

zbMATH Keywords

predationextinctionchemostatinvasioncompetitive exclusionmicroorganismsparadox of enrichmentgrowth-limiting resourcemodels of exploitative competitionsubstitutable resources

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Ecology (92D40) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (1)

Competition in the presence of a virus in an aquatic system: an SIS model in the chemostat

Cites Work

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• Persistence in models of three interacting predator-prey populations
• Predator-mediated competition in the chemostat
• Exploitative competition in a chemostat for two complementary, and possibly inhibitory, resources
• Successful invasion of a food web in a chemostat
• Exploitative competition in the chemostat for two perfectly substitutable resources
• Invasion of a persistent system
• A Mathematical Model of the Chemostat with a General Class of Functions Describing Nutrient Uptake
• Uniformly Persistent Systems
• 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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