Results 181 to 190 of about 24,216,701 (241)

Pullback attractor for random chemostat model driven by colored noise

Applied Mathematics Letters, 2021
Based on the theory of the Ornstein–Uhlenbeck process and random dynamical system, in this paper, a random chemostat model driven by colored noise is considered.
Xiaofeng Zhang, R. Yuan
exaly   +2 more sources

Competitive Exclusion and Coexistence in a Stoichiometric Chemostat Model

Journal of Dynamics and Differential Equations, 2022
In this paper, we incorporate stoichiometry into a competition model in chemostat culture. We first discuss the dynamics of this stoichiometric chemostat model for single algae species.
Juping Ji, Hao Wang
semanticscholar   +3 more sources

Average break-even concentration in a simple chemostat model with telegraph noise

Nonlinear Analysis: Hybrid Systems, 2018
In this paper, we aim to investigate the effect of telegraph noise on the continuous culture of microorganism in a chemostat. With the help of a finite-state Markov chain, we first construct a regime-switching chemostat model and then establish ...
Chaoqun Xu, Sanling Yuan, Tonghua Zhang   +2 more
exaly   +2 more sources

Stationary distribution of a chemostat model with distributed delay and stochastic perturbations

Applied Mathematics Letters, 2022
Miaomiao Gao, Daqing Jiang
exaly   +2 more sources

Competitive Exclusion in a General Multi-species Chemostat Model with Stochastic Perturbations

Bulletin of Mathematical Biology, 2021
Chaoqun Xu, Sanling Yuan, Tonghua Zhang   +2 more
exaly   +2 more sources

Long-time behaviour of a stochastic chemostat model with distributed delay

Stochastics, 2019
In this paper, we analyse a stochastic chemostat model with distributed delay and degenerate diffusion. We transform the stochastic model with weak kernel case into an equivalent system through the linear chain technique.
Qun Liu, Daqing Jiang, Tasawar Hayat
exaly   +2 more sources

ASYMPTOTIC BEHAVIOR OF A STOCHASTIC DELAYED CHEMOSTAT MODEL WITH NUTRIENT STORAGE

Journal of biological systems, 2018
In this paper, a stochastic delayed chemostat model with nutrient storage is proposed and investigated. First, we state that there is a unique global positive solution for this stochastic system.
Shulin Sun, Xiaofeng Zhang
semanticscholar   +2 more sources

Piecewise chemostat model with control strategy

Mathematics and Computers in Simulation, 2019
The chemostat model involving control strategy is either on or off which can be defined by piecewise (or non-smooth) dynamic system. With the aim of controlling the concentration of microorganism within a reasonable range, piecewise chemostat models ...
Jin Yang, Guangyao Tang
semanticscholar   +3 more sources

A stochastic chemostat model with mean-reverting Ornstein-Uhlenbeck process and Monod-Haldane response function

Applied Mathematics and Computation, 2021
In this paper, we mainly construct and analyze a stochastic chemostat model with mean-reverting Ornstein-Uhlenbeck process and Monod-Haldane response function, which is a stochastic non-autonomous system.
Xiaofeng Zhang, R. Yuan
semanticscholar   +1 more source

An invariant observer for a chemostat model

Automatica, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brahim Cherki
exaly   +3 more sources