Periodic, quasi-periodic, and chaotic coexistence of two competing microbial populations in a periodically operated chemostat

DOI10.1016/0025-5564(94)90032-9zbMath0792.92027OpenAlexW2039307487WikidataQ52377530 ScholiaQ52377530MaRDI QIDQ1325028

Petros Lenas, Stavros Pavlou

Publication date: 7 July 1994

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

Full work available at URL: https://doi.org/10.1016/0025-5564(94)90032-9

zbMATH Keywords

chemostatlimit cycle oscillationsquasi-periodicitycoexistence statemicrobial competitionperiod doublingsperiodically varying dilution ratesingle rate-limiting nutrienttime-invariant inputs

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Ecology (92D40) Physiological, cellular and medical topics (92C99) Computational methods for problems pertaining to biology (92-08)

Related Items

Coexistence of three competing microbial populations in a chemostat with periodically varying dilution rate ⋮ ON THE EXISTENCE OF CHAOTIC BEHAVIOUR IN PURE AND SIMPLE MICROBIAL COMPETITION: THE ROLE OF CONTOIS KINETICS ⋮ Dynamics of a chemostat with periodic nutrient supply and delay in the growth ⋮ ASYMPTOTIC EQUIVALENCE OF ALMOST PERIODIC SOLUTIONS FOR A CLASS OF PERTURBED ALMOST PERIODIC SYSTEMS ⋮ Oscillations of two competing microbial populations in configurations of two interconnected chemostats ⋮ Comparison of the global dynamics for two chemostat-like models: random temporal variation versus spatial heterogeneity ⋮ CHAOTIC COEXISTENCE IN A RESOURCE–CONSUMER MODEL ⋮ On the coexistence of three microbial populations competing for two complementary substrates in configurations of interconnected chemostats

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
• Complex dynamics in a model microbial system
• Quantitative universality for a class of nonlinear transformations
• 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