A stochastic non-autonomous chemostat model with mean-reverting Ornstein-Uhlenbeck process on the washout rate
type: Item
instance of: scholarly article
title: A stochastic non-autonomous chemostat model with mean-reverting Ornstein-Uhlenbeck process on the washout rate
zbMATH Open document ID: 1545.92067
author: Xiaofeng Zhang
published in: Journal of Dynamics and Differential Equations
publication date: 2024-07-04T00:00:00Z
Mathematics Subject Classification ID: 92C75
Mathematics Subject Classification ID: 60G10
Mathematics Subject Classification ID: 60H30
zbMATH DE Number: 7876096
zbMATH Keywords: stochastic non-autonomous chemostat model
zbMATH Keywords: Ornstein-Uhlenbeck process
zbMATH Keywords: extinction exponentially
zbMATH Keywords: stochastic permanence
MaRDI profile type: Publication
cites work: The Theory of the Chemostat
cites work: A Mathematical Model of the Chemostat with a General Class of Functions Describing Nutrient Uptake
cites work: Global Dynamics of a Mathematical Model of Competition in the Chemostat: General Response Functions and Differential Death Rates
cites work: Global Asymptotic Behavior of the Chemostat: General Response Functions and Different Removal Rates
cites work: A delayed chemostat model with general nonmonotone response functions and differential removal rates
cites work: On the global dynamics and integrability of the chemostat system
cites work: Properties of the Chemostat Model with Aggregated Biomass and Distinct Removal Rates
cites work: Global Analysis of a Simplified Model of Anaerobic Digestion and a New Result for the Chemostat
cites work: Noise-induced bifurcations in the stochastic chemostat model with general nutrient uptake functions
cites work: Sufficient and necessary conditions for stochastic near-optimal controls: a stochastic chemostat model with non-zero cost inhibiting
cites work: Stochastic characteristics of a chemostat model with variable yield
cites work: Stationary distribution and periodic solution of stochastic chemostat models with single-species growth on two nutrients
cites work: Dynamical behavior of a stochastic two-species monod competition chemostat model
cites work: Dynamical analysis of a stochastic delayed two-species competition chemostat model
cites work: Critical result on the break-even concentration in a single-species stochastic chemostat model
cites work: Exclusion and persistence in deterministic and stochastic chemostat models
cites work: An analogue of break-even concentration in a simple stochastic chemostat model
cites work: A stochastic chemostat model with an inhibitor and noise independent of population sizes
cites work: ASYMPTOTIC BEHAVIOR OF A STOCHASTIC DELAYED CHEMOSTAT MODEL WITH NUTRIENT STORAGE
cites work: Asymptotic behavior of a stochastic delayed chemostat model with nonmonotone uptake function
cites work: The existence of stationary distribution of a stochastic delayed chemostat model
cites work: Some stochastic features of bacterial constant growth apparatus
cites work: Breakdown of a chemostat exposed to stochastic noise
cites work: Stochastic properties of solution for a chemostat model with a distributed delay and random disturbance
cites work: Pullback attractor for random chemostat model driven by colored noise
cites work: A stochastic chemostat model with mean-reverting Ornstein-Uhlenbeck process and Monod-Haldane response function
cites work: Environmental variability in a stochastic epidemic model
cites work: A highly sensitive mean-reverting process in finance and the Euler-Maruyama approximations
cites work: Q4369402
cites work: Stochastic permanence of an SIQS epidemic model with saturated incidence and independent random perturbations
cites work: Stochastic delay Lotka--Volterra model
cites work: Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation
cites work: A strong law of large numbers for local martingales
cites work: Persistence and extinction in stochastic non-autonomous logistic systems
cites work: An algorithmic introduction to numerical simulation of stochastic differential equations
DOI: 10.1007/S10884-022-10181-Y
description: scientific article; zbMATH DE number 7876096