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The Stochastic Periodic Behavior of a Chemostat Model with Periodic Nutrient Input
In this paper, we study the stochastic periodic behavior of a chemostat model with periodic nutrient input. We first prove the existence of global...
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A Note on the Stationary Probability Density Function and Covariance Matrix of a Stochastic Chemostat Model with Distributed Delay
In this paper, we will focus on the stochastic chemostat model with distributed delay and Monod-type nutrient absorption function in Stratonovich...
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Competitive Exclusion and Coexistence in a Stoichiometric Chemostat Model
In this paper, we incorporate stoichiometry into a competition model in chemostat culture. We first discuss the dynamics of this stoichiometric...
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Environmental Stochasticity Driving the Extinction of Top Predators in a Food Chain Chemostat Model
Understanding the process of extinction in natural populations is crucial for the preservation of ecosystem stability and biodiversity, both...
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Dynamical Analysis of Nonautonomous Trophic Cascade Chemostat Model with Regime Switching and Nonlinear Perturbations in a Polluted Environment
This paper investigates the stochastic dynamics of trophic cascade chemostat model perturbed by regime switching, Gaussian white noise and impulsive...
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Substrate inhibition can produce coexistence and limit cycles in the chemostat model with allelopathy
In this work, we consider a model of two microbial species in a chemostat in which one of the competitors can produce a toxin (allelopathic agent)...
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A Stochastic Non-autonomous Chemostat Model with Mean-reverting Ornstein–Uhlenbeck Process on the Washout Rate
In this paper, a stochastic non-autonomous chemostat model with mean-reverting Ornstein–Uhlenbeck process is constructed and analyzed, and we...
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Stability Analysis of Fractional-Order Chemostat Model with Time Delay
The fractional-order chemostat model that considered time delay is studied. Fractional-order differential equations have more benefits for the...
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A Higher-Order NSFD Method for a Simple Growth Model in the Chemostat
Accurate numerical methods that also preserve the important properties of dynamical systems are essential, especially when approximating systems in...
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Long-Time Behavior and Density Function of a Stochastic Chemostat Model with Degenerate Diffusion
This paper considers a stochastic chemostat model with degenerate diffusion. Firstly, the Markov semigroup theory is used to establish sufficient...
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Competitive Exclusion in a General Multi-species Chemostat Model with Stochastic Perturbations
Based on the fact that the continuous culture of microorganisms in a chemostat is subject to environmental noises, we present and analyze a...
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Well posedness and stochastic derivation of a diffusion-growth-fragmentation equation in a chemostat
We study the existence and uniqueness of the solution of a non-linear coupled system constituted of a degenerate diffusion-growth-fragmentation...
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Operating diagrams for a three-tiered microbial food web in the chemostat
In this paper, we consider a three-tiered food web model in a chemostat, including chlorophenol, phenol, and hydrogen substrates and their degraders....
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Global dynamics of the chemostat with overflow metabolism
Fast growing E. coli cells, in glucose-aerobic conditions, excrete fermentation by-products such as acetate. This phenomenon is known as overflow...
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Dynamics of a Chemostat-Type Model with Impulsive Effects in a Polluted Karst Environment
In this paper, we present a chemostat-type model with impulsive effects in a polluted karst environment. The globally asymptotically stable...
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Asymptotic Spreading for a Diffusive Chemostat System in Space-Time Periodic Environment
This paper presents the dynamics that one microorganism spatially expands with two nutrients in space-time periodic environment. The generalized...
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Analysis and Optimization of the Chemostat Model with a Lateral Diffusive Compartment
We consider the chemostat model with a side compartment connected by pure diffusion, and analyze its asymptotic properties. We investigate conditions...
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Dynamics of a stochastic eutrophication-chemostat model with impulsive dredging and pulse inputting on environmental toxicant
In this paper, we present a stochastic eutrophication-chemostat model with impulsive dredging and pulse inputting on environmental toxicant. The...
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Thermodynamic Inhibition in Chemostat Models
We formulate a mathematical model of bacterial populations in a chemostat setting that also accounts for thermodynamic growth inhibition as a...
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Dynamical Analysis of a Stochastic Delayed Two-Species Competition Chemostat Model
In this paper, we consider a stochastic delayed two-species competition chemostat model with the Monod growth response function. First, we verify...
