Dynamical analysis of a stochastic delayed two-species competition chemostat model

DOI10.1007/s40840-019-00880-zzbMath1450.39009OpenAlexW3002122305WikidataQ126305815 ScholiaQ126305815MaRDI QIDQ2006694

Shulin Sun, Xiaofeng Zhang

Publication date: 12 October 2020

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-019-00880-z

zbMATH Keywords

Itô formulacoexistencecompetition exclusionstochastic delayed chemostat model

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Ecology (92D40) Applications of difference equations (39A60) Stochastic difference equations (39A50)

Related Items (2)

Noise-induced stochastic transition: a stochastic chemostat model with two complementary nutrients and flocculation effect ⋮ A stochastic chemostat model with mean-reverting Ornstein-Uhlenbeck process and Monod-Haldane response function

Cites Work

• Unnamed Item
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• An analogue of break-even concentration in a simple stochastic chemostat model
• Delay differential equations: with applications in population dynamics
• Critical result on the break-even concentration in a single-species stochastic chemostat model
• Some stochastic features of bacterial constant growth apparatus
• Dynamical behavior of a stochastic two-species monod competition chemostat model
• The existence of stationary distribution of a stochastic delayed chemostat model
• Stochastic differential delay equations of population dynamics
• Sufficient and necessary conditions for stochastic near-optimal controls: a stochastic chemostat model with non-zero cost inhibiting
• 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
• 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
• A Mathematical Model of the Chemostat with a General Class of Functions Describing Nutrient Uptake
• Global Dynamics of a Mathematical Model of Competition in the Chemostat: General Response Functions and Differential Death Rates
• A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms
• 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
• ASYMPTOTIC BEHAVIOR OF A STOCHASTIC DELAYED CHEMOSTAT MODEL WITH NUTRIENT STORAGE
• The Theory of the Chemostat

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