Asymptotic behavior of solutions of competition in gradostat with two limiting complementary substrates

DOI10.1016/0096-3003(92)90054-5zbMath0746.92027OpenAlexW1984843789MaRDI QIDQ1194449

Afaf A. S. Zaghrout

Publication date: 27 September 1992

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(92)90054-5

zbMATH Keywords

Lyapunov functionstwo populationstwo vesselscompetition in gradostatMichaelis- Menten constantstwo living complementary substrates

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Ecology (92D40) Qualitative theory for ordinary differential equations (34C99) Asymptotic properties of solutions to ordinary differential equations (34D05) Asymptotic theory for ordinary differential equations (34E99)

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Oscillations of two competing microbial populations in configurations of two interconnected chemostats, On the coexistence of three microbial populations competing for two complementary substrates in configurations of interconnected chemostats, Global dynamics of the buffered chemostat for a general class of response functions

Cites Work

• Mathematical investigations of growth of microorganisms in the gradostat
• Competition in the gradostat
• Exploitative Competition of Microorganisms for Two Complementary Nutrients in Continuous Cultures
• Competition in an n-Vessel Gradostat
• A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms
• Limiting Behavior for Competing Species
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