Quiescence and transient growth dynamics in chemostat models

DOI10.1016/0025-5564(94)90077-9zbMath0799.92022OpenAlexW2001595527WikidataQ52382335 ScholiaQ52382335MaRDI QIDQ1325021

Susanne Krömker, Willi Jäger, Betty K. P. Tang

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)90077-9

zbMATH Keywords

global attractorschemostat modelmicrobial growthquiescent cellssteady-state growthactive cellsadaptation to environmental fluctuationsasymmetric thresholdschange of growth statusnutrient limitationstransient oscillatory growth

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ecology (92D40) Applications of dynamical systems (37N99) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (11)

Competition in the chemostat with time-dependent differential removal rates ⋮ Quiescence stabilizes predator–prey relations ⋮ Spatio-temporal dynamics of microbial population under nutrient-limiting conditions ⋮ A resource-based model of microbial quiescence ⋮ Dynamics in a Rosenzweig-MacArthur predator-prey system with quiescence ⋮ Dynamics of a reaction-diffusion-ODE system with quiescence ⋮ Quiescent phases and stability in discrete time dynamical systems ⋮ The stability of equilibria for a reaction-diffusion-ODE system on convex domains ⋮ Quiescent phases and stability ⋮ Homogeneous Systems with a Quiescent Phase ⋮ Transient oscillations induced by delayed growth response in the chemostat

Cites Work

• A Mathematical Model of the Chemostat with a General Class of Functions Describing Nutrient Uptake
• Coexistence in a Model of Competition in the Chemostat Incorporating Discrete Delays
• A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms
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