Dynamical analysis of a stochastic model for cascaded continuous flow bioreactors

DOI10.1007/s10910-014-0321-5zbMath1314.92061OpenAlexW1986665160MaRDI QIDQ2014817

Zhenzhen Chen, Tonghua Zhang, Mao'an Han

Publication date: 16 June 2014

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

Full work available at URL: https://doi.org/10.1007/s10910-014-0321-5

zbMATH Keywords

Lyapunov functionstochastically stableflow bioreactors

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) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (22)

Stochastic exact solutions of the Wick-type stochastic NLS equation ⋮ Optimal control strategy for an impulsive stochastic competition system with time delays and jumps ⋮ Periodic solution for the stochastic chemostat with general response function ⋮ Average break-even concentration in a simple chemostat model with telegraph noise ⋮ Dynamics of a stochastic cell-to-cell HIV-1 model with distributed delay ⋮ Competition in the chemostat: a stochastic multi-species model and its asymptotic behavior ⋮ Competitive exclusion in a general multi-species chemostat model with stochastic perturbations ⋮ Noise-induced bifurcations in the stochastic chemostat model with general nutrient uptake functions ⋮ Critical result on the break-even concentration in a single-species stochastic chemostat model ⋮ 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 ⋮ 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 ⋮ Break-even concentration and periodic behavior of a stochastic chemostat model with seasonal fluctuation ⋮ Persistence and ergodicity of plant disease model with Markov conversion and impulsive toxicant input ⋮ Global analysis and numerical simulations of a novel stochastic eco-epidemiological model with time delay ⋮ Extinction and stationary distribution of an impulsive stochastic chemostat model with nonlinear perturbation ⋮ A semi-numerical algorithm for instability of compressible multilayered structures ⋮ Global dynamics of a model for treating microorganisms in sewage by periodically adding microbial flocculants ⋮ Stochastic properties of solution for a chemostat model with a distributed delay and random disturbance ⋮ Dynamics analysis and numerical simulations of a delayed stochastic epidemic model subject to a general response function ⋮ Dynamical analysis of two-microorganism and single nutrient stochastic chemostat model with Monod-Haldane response function

Cites Work

• On competitive Lotka-Volterra model in random environments
• Global analysis of continuous flow bioreactor and membrane reactor models with death and maintenance
• Long time behaviour of a stochastic model for continuous flow bioreactor
• Asymptotic Entanglement Manipulation of Bipartite Pure States

This page was built for publication: Dynamical analysis of a stochastic model for cascaded continuous flow bioreactors