Biological control of the chemostat with nonmonotonic response and different removal rates

DOI10.3934/mbe.2008.5.539zbMath1230.34043OpenAlexW2318173276WikidataQ31162168 ScholiaQ31162168MaRDI QIDQ1006247

Alain Rapaport, Jérôme Harmand

Publication date: 20 March 2009

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

Full work available at URL: https://doi.org/10.3934/mbe.2008.5.539

zbMATH Keywords

global stabilizationcompetition exclusion

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05) Stabilization of solutions to ordinary differential equations (34H15)

Related Items (10)

New result on the model-based biological control of the chemostat ⋮ Bounded random fluctuations on the input flow in chemostat models with wall growth and non-monotonic kinetics ⋮ Competition for a single resource and coexistence of several species in the chemostat ⋮ Long-time behavior and density function of a stochastic chemostat model with degenerate diffusion ⋮ Performance study of two serial interconnected chemostats with mortality ⋮ Competitive exclusion for chemostat equations with variable yields ⋮ Threshold dynamics and probability density functions of a stochastic predator-prey model with general distributed delay ⋮ The threshold of a chemostat model with single-species growth on two nutrients under telegraph noise ⋮ Study of the chemostat model with non-monotonic growth under random disturbances on the removal rate ⋮ Global dynamics of the buffered chemostat for a general class of response functions

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