Long time behaviour of a stochastic model for continuous flow bioreactor

DOI10.1007/s10910-012-0095-6zbMath1327.92016OpenAlexW2043293962MaRDI QIDQ1936758

Zhenzhen Chen, Tonghua Zhang

Publication date: 7 February 2013

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-012-0095-6

zbMATH Keywords

dynamicsequilibriumstochastic stabilitybioreactorstochastic modeldeterministic model

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Biochemistry, molecular biology (92C40) Ordinary differential equations and systems with randomness (34F05)

Related Items (12)

Neural network-based state estimation for a closed-loop control strategy applied to a fed-batch bioreactor ⋮ Critical result on the break-even concentration in a single-species stochastic chemostat model ⋮ Dynamical analysis of nonautonomous trophic cascade chemostat model with regime switching and nonlinear perturbations in a polluted environment ⋮ GLOBAL DYNAMICS ANALYSIS OF A NONLINEAR IMPULSIVE STOCHASTIC CHEMOSTAT SYSTEM IN A POLLUTED ENVIRONMENT ⋮ Dynamical analysis of multi-nutrient and single microorganism chemostat model in a polluted environment ⋮ Dynamics of a stochastic functional system for wastewater treatment ⋮ An analogue of break-even concentration in a simple stochastic chemostat model ⋮ Dynamics of a novel nonlinear stochastic SIS epidemic model with double epidemic hypothesis ⋮ Threshold dynamics of a stochastic chemostat model with two nutrients and one microorganism ⋮ Stability analysis of a chemostat model with maintenance energy ⋮ Dynamical analysis of a stochastic model for cascaded continuous flow bioreactors ⋮ Extinction and stationary distribution of an impulsive stochastic chemostat model with nonlinear perturbation

Cites Work

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• Competition in the bioreactor with general quadratic yields when one competitor produces a toxin
• Exclusion and persistence in deterministic and stochastic chemostat models
• The long time behavior of DI SIR epidemic model with stochastic perturbation

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