Noise-induced bifurcations in the stochastic chemostat model with general nutrient uptake functions

DOI10.1016/j.aml.2019.106180zbMath1444.92103OpenAlexW2996022302WikidataQ126558156 ScholiaQ126558156MaRDI QIDQ2184954

Sanling Yuan, Dianli Zhao

Publication date: 4 June 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.106180

zbMATH Keywords

asymptotic behaviorstationary distributionstochastic chemostat modelstochastic bifurcation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Microbiology (92C70) Regularization by noise (60H50)

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Cites Work

• 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
• Dynamical analysis of a stochastic model for cascaded continuous flow bioreactors
• Periodic solution for the stochastic chemostat with general response function
• Exclusion and persistence in deterministic and stochastic chemostat models
• A Stochastic Differential Equation SIS Epidemic Model
• A Mathematical Model of the Chemostat with a General Class of Functions Describing Nutrient Uptake
• The Theory of the Chemostat