Stochastic properties of solution for a chemostat model with a distributed delay and random disturbance

DOI10.1142/S1793524520500667zbMath1465.37106OpenAlexW3035962573MaRDI QIDQ4984973

Rong Yuan, Xiaofeng Zhang

Publication date: 21 April 2021

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793524520500667

zbMATH Keywords

ergodicitydistributed delaystochastic chemostat modelstochastically ultimate boundednessstochastic properties

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Dynamical systems in biology (37N25) Dynamical systems and their relations with probability theory and stochastic processes (37A50) General biology and biomathematics (92B05) Stochastic difference equations (39A50) Stability theory for random and stochastic dynamical systems (37H30)

Related Items (3)

The principal eigenvalue for a time-space periodic reaction-diffusion-advection equation with delay nutrient recycling ⋮ A note on the stationary probability density function and covariance matrix of a stochastic chemostat model with distributed delay ⋮ DYNAMICAL BEHAVIOR OF A STOCHASTIC FOOD CHAIN CHEMOSTAT MODEL WITH VARIABLE YIELDS

Cites Work

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• An analogue of break-even concentration in a simple stochastic chemostat model
• Critical result on the break-even concentration in a single-species stochastic chemostat model
• Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation
• Existence theorems for periodic Markov process and stochastic functional differential equations
• Some stochastic features of bacterial constant growth apparatus
• Bifurcation analysis of a chemostat model with a distributed delay
• Dynamics analysis and numerical simulations of a stochastic non-autonomous predator-prey system with impulsive effects
• Dynamical behavior of a stochastic two-species monod competition chemostat model
• The existence of stationary distribution of a stochastic delayed chemostat model
• Stochastic delay Lotka--Volterra model
• Sufficient and necessary conditions for stochastic near-optimal controls: a stochastic chemostat model with non-zero cost inhibiting
• Stochastic periodic solution of a non-autonomous toxic-producing phytoplankton allelopathy model with environmental fluctuation
• Dynamical analysis of a stochastic model for cascaded continuous flow bioreactors
• Optimal control strategy for an impulsive stochastic competition system with time delays and jumps
• A stochastic chemostat model with an inhibitor and noise independent of population sizes
• Asymptotic behavior of a stochastic delayed chemostat model with nonmonotone uptake function
• The periodic solutions of a stochastic chemostat model with periodic washout rate
• The stationary distribution and ergodicity of a stochastic phytoplankton allelopathy model under regime switching
• Stability and bifurcations in an epidemic model with varying immunity period
• Breakdown of a chemostat exposed to stochastic noise
• Exclusion and persistence in deterministic and stochastic chemostat models
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• Competition in the Chemostat: A Distributed Delay Model and Its Global Asymptotic Behavior
• ASYMPTOTIC BEHAVIOR OF A STOCHASTIC DELAYED CHEMOSTAT MODEL WITH NUTRIENT STORAGE
• The Theory of the Chemostat
• Ergodic Properties of Markov Processes

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