Practical coexistence of two species in the chemostat -- a slow-fast characterization

DOI10.1016/j.mbs.2008.12.003zbMath1157.92032OpenAlexW2110428290WikidataQ51856518 ScholiaQ51856518MaRDI QIDQ1009608

Miled El Hajji, Alain Rapaport

Publication date: 2 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.mbs.2008.12.003

zbMATH Keywords

competitionchemostatinvariant manifoldcoexistenceslow-fast dynamics

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Ecology (92D40) Singular perturbations of ordinary differential equations (34D15)

Related Items (9)

Transients and tradeoffs of phenotypic switching in a fluctuating limited environment ⋮ Bounded random fluctuations on the input flow in chemostat models with wall growth and non-monotonic kinetics ⋮ ON THE EXISTENCE OF CHAOTIC BEHAVIOUR IN PURE AND SIMPLE MICROBIAL COMPETITION: THE ROLE OF CONTOIS KINETICS ⋮ Comments on ``Limit cycles in the chemostat with constant yields Mathematical and Computer Modelling 45 (2007) 927-932 ⋮ Multiplicity of Neutrally Stable Periodic Orbits with Coexistence in the Chemostat Subject to Periodic Removal Rate ⋮ How can inter-specific interferences explain coexistence or confirm the competitive exclusion principle in a chemostat? ⋮ Random and stochastic disturbances on the input flow in chemostat models with wall growth ⋮ The operating diagram of a model of two competitors in a chemostat with an external inhibitor ⋮ Association between competition and obligate mutualism in a chemostat

Cites Work

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• Coexistence in the design of a series of two chemostats
• A stochastic analysis of the growth of competing microbial populations in a continuous biochemical reactor
• Geometric singular perturbation theory for ordinary differential equations
• Coexistence of photosynthetic microorganisms with growth rates depending on the spectral quality of light
• Long run coexistence in the chemostat with multiple species
• Persistence in ecological models of competition for a single resource
• How flocculation can explain coexistence in the chemostat
• 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
• A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms
• The Theory of the Chemostat

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