Global asymptotic behavior of a multi-species stochastic chemostat model with discrete delays
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Publication:2181128
DOI10.1007/s10884-019-09741-6zbMath1439.92208OpenAlexW2921569315MaRDI QIDQ2181128
Gail S. K. Wolkowicz, Liang Wang, Daqing Jiang
Publication date: 18 May 2020
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://hdl.handle.net/10356/144320
Asymptotic theory of functional-differential equations (34K25) Population dynamics (general) (92D25) Stochastic functional-differential equations (34K50) Ecology (92D40)
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Cites Work
- Unnamed Item
- Unnamed Item
- 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
- Periodic solution of a chemostat model with variable yield and impulsive state feedback control
- Stability analysis of a chemostat model with maintenance energy
- Dynamics of a stochastic density dependent predator-prey system with Beddington-DeAngelis functional response
- Oscillations in a plasmid turbidostat model with delayed feedback control
- Coexistence of an unstirred chemostat model with Beddington-DeAngelis functional response and inhibitor
- Stabilization of a chemostat model with Haldane growth functions and a delay in the measurements
- Global stability of two-group SIR model with random perturbation
- The existence and uniqueness of the solution for stochastic functional differential equations with infinite delay
- Existence-uniqueness and continuation theorems for stochastic functional differential equations
- Global asymptotic behavior in chemostat-type competition models with delay
- Oscillations of two competing microbial populations in configurations of two interconnected chemostats
- Global dynamics of a chemostat competition model with distributed delay
- Bifurcation analysis of a chemostat model with a distributed delay
- Qualitative properties of chemostat equations with time delays: Boundedness, local and global asymptotic stability
- Stability of epidemic model with time delays influenced by stochastic perturbations
- Analysis of a delayed stochastic predator-prey model in a polluted environment
- Ergodic property of the chemostat: a stochastic model under regime switching and with general response function
- Asymptotic properties of a stochastic SIR epidemic model with Beddington-DeAngelis incidence rate
- Transient oscillations induced by delayed growth response in the chemostat
- Numerical solutions of stochastic differential delay equations under local Lipschitz condition
- Bifurcation analysis of a chemostat model with two distributed delays
- Asymptotic behavior of a stochastic delayed chemostat model with nonmonotone uptake function
- Global analysis of competition for perfectly substitutable resources with linear response
- A discrete-delayed model with plasmid-bearing, plasmid-free competition in a chemostat
- Bifurcation and chaos in a Monod-Haldane type food chain chemostat with pulsed input and washout
- A delayed chemostat model with general nonmonotone response functions and differential removal rates
- Delayed feedback control for a chemostat model
- Moment estimate and existence for solutions of stochastic functional differential equations
- Exclusion and persistence in deterministic and stochastic chemostat models
- Theory, stochastic stability and applications of stochastic delay differential equations: a survey of results
- A Stochastic Differential Equation SIS Epidemic Model
- Asymptotic properties of a stochastic chemostat including species death rate
- Competitive Exclusion in Delayed Chemostat Models with Differential Removal Rates
- A Mathematical Model of the Chemostat with a General Class of Functions Describing Nutrient Uptake
- A Mathematical Model of the Chemostat with Periodic Washout Rate
- Coexistence in a Model of Competition in the Chemostat Incorporating Discrete Delays
- Competitive Coexistence in an Oscillating Chemostat
- Global Dynamics of a Mathematical Model of Competition in the Chemostat: General Response Functions and Differential Death Rates
- Global Asymptotic Behavior of the Chemostat: General Response Functions and Different Removal Rates
- Competition in the Chemostat: Global Asymptotic Behavior of a Model with Delayed Response in Growth
- Global Asymptotic Behavior of a Chemostat Model with Discrete Delays
- 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 Chemostat
- The Theory of the Chemostat
