Add to ORKGThe stochastic dynamics of a chemostat with three trophic levels, substrate-bacterium-worm, is analyzed. It is assumed that the worm population is perturbed by environmental stochastic noise causing extinction in finite time. A diffusion model of the process is formulated. With singular perturbation methods applied to the corresponding Fokker-Planck equation an estimate of the expected extinction time is derived. This chemostat can be seen as an experimental sewage-treatment system in which the worm population facilitates the reduction of remaining sludg
Population dynamics and in particular microbial population dynamics, though they are complex but als...
We introduce two stochastic chemostat models consisting in a coupled population-nutrient process ref...
Abstract. A cooperative model in a polluted environment with stochastic perturbations and impulsive ...
This paper intends to develop a new method to obtain the threshold of an impulsive stochastic chemos...
Abstract In this paper, we propose a multi-nutrient and single microorganism chemostat model with st...
The stochastic chemostat model with Monod-Haldane response function is perturbed by environmental wh...
This paper proposes a novel impulsive stochastic nonautonomous chemostat model with the saturated an...
We present a stochastic simple chemostat model in which the dilution rate was influenced by white no...
In this research, we expose new results on the dynamics of a high disturbed chemostat model for indu...
We revisit the chemostat model with Haldane growth function, here subject to bounded random disturba...
We consider a stochastic model of the two-dimensional chemostat as a diffusion process for the conce...
Abstract We propose a new stochastic competition chemostat system with saturated growth rate and imp...
We study the existence and uniqueness of the solution of a non-linear coupled system constituted of ...
The Crump-Young model consists of two fully coupled stochastic processes modeling the substrate and ...
Chemostat model with pulsed input in a polluted environment is considered. By using the Floquet theo...
Population dynamics and in particular microbial population dynamics, though they are complex but als...
We introduce two stochastic chemostat models consisting in a coupled population-nutrient process ref...
Abstract. A cooperative model in a polluted environment with stochastic perturbations and impulsive ...
This paper intends to develop a new method to obtain the threshold of an impulsive stochastic chemos...
Abstract In this paper, we propose a multi-nutrient and single microorganism chemostat model with st...
The stochastic chemostat model with Monod-Haldane response function is perturbed by environmental wh...
This paper proposes a novel impulsive stochastic nonautonomous chemostat model with the saturated an...
We present a stochastic simple chemostat model in which the dilution rate was influenced by white no...
In this research, we expose new results on the dynamics of a high disturbed chemostat model for indu...
We revisit the chemostat model with Haldane growth function, here subject to bounded random disturba...
We consider a stochastic model of the two-dimensional chemostat as a diffusion process for the conce...
Abstract We propose a new stochastic competition chemostat system with saturated growth rate and imp...
We study the existence and uniqueness of the solution of a non-linear coupled system constituted of ...
The Crump-Young model consists of two fully coupled stochastic processes modeling the substrate and ...
Chemostat model with pulsed input in a polluted environment is considered. By using the Floquet theo...
Population dynamics and in particular microbial population dynamics, though they are complex but als...
We introduce two stochastic chemostat models consisting in a coupled population-nutrient process ref...
Abstract. A cooperative model in a polluted environment with stochastic perturbations and impulsive ...