Coexistence of three competing microbial populations in a chemostat with periodically varying dilution rate

DOI10.1016/0025-5564(94)00056-6zbMath0828.92028OpenAlexW2007805261WikidataQ52329068 ScholiaQ52329068MaRDI QIDQ1899212

Stavros Pavlou, Petros Lenas

Publication date: 4 January 1996

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

Full work available at URL: https://doi.org/10.1016/0025-5564(94)00056-6

zbMATH Keywords

competitionchemostatnumerical bifurcation analysismicrobial populationsperiodically operated chemostatquasi- periodic and chaotic behaviorstable coexistence state

Mathematics Subject Classification ID

Ecology (92D40) Qualitative theory for ordinary differential equations (34C99) Numerical methods for ordinary differential equations (65L99)

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Uses Software

• AUTO
• AUTO-86

Cites Work

• Competition for fluctuating nutrient
• Microbial predation in a periodically operated chemostat: A global study of the interaction between natural and externally imposed frequencies
• A competition model for a seasonally fluctuating nutrient
• A stochastic analysis of the growth of competing microbial populations in a continuous biochemical reactor
• Periodic, quasi-periodic, and chaotic coexistence of two competing microbial populations in a periodically operated chemostat
• Microbial Competition
• A Mathematical Model of the Chemostat with a General Class of Functions Describing Nutrient Uptake
• A Mathematical Model of the Chemostat with Periodic Washout Rate
• Competitive Coexistence in an Oscillating Chemostat
• 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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