Spatial co‐occurrence patterns are determined by environmental factors, such as food
availability or habitat characteristics and by biotic associations. When resources are limited …

Based on the fact that the continuous culture of microorganisms in a chemostat is subject to
environmental noises, we present and analyze a stochastic competition chemostat model …

In this paper, a stochastic chemostat model in which n-species compete for a single growth-
limiting substrate is considered. We first prove that the stochastic model has an unique …

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 …

The dynamics of chemostat involving stochastic perturbations is considered. Instead of
assuming the familiar Monod kinetics for nutrient uptake, a general class of functions is used …

In this paper, a stochastic delayed chemostat model with nutrient storage and Lévy jumps is
proposed. Firstly, the existence and uniqueness of the positive global solution of the model …

This paper formulates and studies a delayed chemostat with Lévy noises. Existence of the
globally positive solution is proved first by establishing suitable Lyapunov functions, and a …

We consider a stochastic chemostat model involving two obligate mutualistic species
feeding on a limiting substrate. It is shown that the spatial arrangement of the random states …

In this paper, we consider a Lotka–Volterra food chain chemostat model that incorporates
both distributed delay and stochastic perturbations. We obtain sufficient conditions for the …

The appearance of delay terms in a chemostat model can be fully justified since the future
behavior of a dynamical system does not in general depend only on the present but also on …