Asymptotic behavior of a chemostat model with stochastic perturbation on the dilution rate

DOI10.1155/2013/423154zbMath1402.92289OpenAlexW2013861126WikidataQ58916259 ScholiaQ58916259MaRDI QIDQ1949458

Chaoqun Xu, Tonghua Zhang, Sanling Yuan

Publication date: 8 May 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/423154

zbMATH Keywords

chemostat modelstochastic perturbationwashout equilibrium

Mathematics Subject Classification ID

Physiological, cellular and medical topics (92C99)

Related Items (13)

Competitive exclusion in a stochastic chemostat model with Holling type II functional response ⋮ Competition in the chemostat: a stochastic multi-species model and its asymptotic behavior ⋮ Stochastic Sensitivity Analysis for a Competitive Turbidostat Model with Inhibitory Nutrients ⋮ The stochastic periodic behavior of a chemostat model with periodic nutrient input ⋮ The periodic solutions of a stochastic chemostat model with periodic washout rate ⋮ Dynamical analysis of multi-nutrient and single microorganism chemostat model in a polluted environment ⋮ Pullback attractor for random chemostat model driven by colored noise ⋮ Random and stochastic disturbances on the input flow in chemostat models with wall growth ⋮ Unnamed Item ⋮ The stability of SI epidemic model in complex networks with stochastic perturbation ⋮ Global Analysis of a Simplified Model of Anaerobic Digestion and a New Result for the Chemostat ⋮ Threshold dynamics of a stochastic chemostat model with two nutrients and one microorganism ⋮ Permanence and extinction for a single-species system with jump-diffusion

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analysis of an improved epidemic model with stochastic disease transmission
• Stationary distribution of stochastic population systems
• Asymptotic properties of a stochastic predator-prey system with Holling II functional response
• Stochastic stability of differential equations. With contributions by G. N. Milstein and M. B. Nevelson
• Asymptotic behavior of global positive solution to a stochastic SIR model
• Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with stochastic perturbation
• A stochastic analysis of the growth of competing microbial populations in a continuous biochemical reactor
• Some stochastic features of bacterial constant growth apparatus
• Stability of epidemic model with time delays influenced by stochastic perturbations
• On the stability properties of a stochastic model for phage-bacteria interaction in open marine environment
• A new Liapunov function for the simple chemostat
• Environmental Brownian noise suppresses explosions in population dynamics.
• Breakdown of a chemostat exposed to stochastic noise
• Stochastic stability and control
• Exclusion and persistence in deterministic and stochastic chemostat models
• The long time behavior of DI SIR epidemic model with stochastic perturbation
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• The Theory of the Chemostat
• A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms

This page was built for publication: Asymptotic behavior of a chemostat model with stochastic perturbation on the dilution rate