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Coexistence of Competing Species for Intermediate Dispersal Rates in a Reaction–Diffusion Chemostat Model

Journal of Dynamics and Differential Equations, 2020
Junping Shi, Yixiang Wu, X. Zou
semanticscholar   +1 more source

Geometric analysis of a model for cross‐feeding in the chemostat

Mathematical Methods in the Applied Sciences, 2018
A model for competition between bacterial strains in a chemostat is studied using a model reduction argument and phase portrait analysis for the specific case of trophic chain. The first strain feeds on glucose but secretes a metabolic intermediate (acetate), which the second strain consumes. However, the metabolic intermediate imposes a cost to growth
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Dynamical Analysis of a Stochastic Delayed Two-Species Competition Chemostat Model

Bulletin of the Malaysian Mathematical Sciences Society, 2020
Xiaofeng Zhang, Shulin Sun
semanticscholar   +1 more source

Global Asymptotic Behavior of a Multi-species Stochastic Chemostat Model with Discrete Delays

Journal of Dynamics and Differential Equations, 2020
Liang Wang, D. Jiang, G. Wolkowicz
semanticscholar   +1 more source

A Discrete-Time Chemostat Model

2003
The chemostat is an important laboratory apparatus used for the continuous culture of microorganisms. In ecology it is often viewed as a model of a simple lake system, of the wastewater treatment process, or of biological waste decomposition. Mathematical models of microbial growth and competition for a limiting substrate in a chemostat have played a ...
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Regulation Models in Rotifer Chemostats

1993
The classical basis for modeling growth in chemostats is the Monod model (Eqs. 3.3.5 and 3.3.7; Monod 1942). It seems to be the best starting point compared with other models which come into question (e.g., Teissier 1936; Moser 1957; Contois 1959) to describe the growth of microorganisms.
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An analogue of break-even concentration in a simple stochastic chemostat model

Applied Mathematics Letters, 2015
Chaoqun Xu, Sanling Yuan
exaly  

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