Dynamics of microorganism cultivation with delay and stochastic perturbation

DOI10.1007/s11071-020-05718-zzbMath1516.92093OpenAlexW3035894338MaRDI QIDQ6168774

Yu Mu, Wing-Cheong Lo

Publication date: 9 August 2023

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-020-05718-z

zbMATH Keywords

stochastic differential equationsstationary distributiondelay effectturbidostatmicroorganism cultivation

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stochastic functional-differential equations (34K50)

Related Items (3)

Stochastic dynamics of populations with refuge in polluted turbidostat ⋮ Hopf bifurcation of a turbidostat model with nutrient recycling and multiple delay effects ⋮ A stochastic turbidostat model coupled with distributed delay and degenerate diffusion: dynamics analysis

Cites Work

• Unnamed Item
• Unnamed Item
• The threshold of a stochastic SIS epidemic model with vaccination
• On a nonautonomous competitive system subject to stochastic and impulsive perturbations
• An analogue of break-even concentration in a simple stochastic chemostat model
• Hopf bifurcation in a delayed reaction-diffusion-advection population model
• Delay differential equations: with applications in population dynamics
• Extinction and stationary distribution of an impulsive stochastic chemostat model with nonlinear perturbation
• Critical result on the break-even concentration in a single-species stochastic chemostat model
• Bifurcation and complexity in a ratio-dependent predator-prey chemostat with pulsed input
• Dynamics of a three-species ratio-dependent diffusive model
• The threshold of a stochastic delayed SIR epidemic model with temporary immunity
• Threshold behaviour of a stochastic SIR model
• Bifurcation analysis of a turbidostat model with distributed delay
• Hopf bifurcation analysis of a turbidostat model with discrete delay
• The existence of stationary distribution of a stochastic delayed chemostat model
• Sharp conditions for the existence of a stationary distribution in one classical stochastic chemostat
• Periodic solution for the stochastic chemostat with general response function
• Asymptotic behavior of a stochastic delayed chemostat model with nonmonotone uptake function
• Dynamics of a delay turbidostat system with Contois growth rate
• Mean persistence and extinction for a novel stochastic turbidostat model
• Periodic solution of a turbidostat model with impulsive state feedback control
• A note on the stationary distribution of the stochastic chemostat model with general response functions
• A delayed chemostat model with general nonmonotone response functions and differential removal rates
• Exclusion and persistence in deterministic and stochastic chemostat models
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• STABILITY ANALYSIS OF A RATIO-DEPENDENT CHEMOSTAT MODEL WITH TIME DELAY AND VARIABLE YIELD
• Competition in a turbidostat for an inhibitory nutrient
• Great delay in a predator-prey model
• ASYMPTOTIC BEHAVIOR OF A STOCHASTIC DELAYED CHEMOSTAT MODEL WITH NUTRIENT STORAGE
• The Theory of the Chemostat
• Stochastic dynamics of the delayed chemostat with Lévy noises
• FEEDBACK CONTROL FOR A TURBIDOSTAT MODEL WITH RATIO-DEPENDENT GROWTH RATE
• An Introduction to Delay Differential Equations with Applications to the Life Sciences

This page was built for publication: Dynamics of microorganism cultivation with delay and stochastic perturbation