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The effect of a new input concentration substrate on a syntrophic relationship of two species in a chemostat

Abstract : In this work, we study a model describing a syntrophic relationship of two microbial species with two input substrates, including both decay terms and inhibition of the first species by an excess of the second substrate. This model can be seen as a reduced and simplified version of the anaerobic digestion process. We give necessary and sufficient conditions on the operating parameters of the system (the dilution rate D and the input concentrations of the two substrates s in 0 and s in 1) for the existence and stability of all equilibria. By means of operating diagrams, we describe the asymptotic behavior of the model with respect to the control parameters and we study the effect of the second input substrate.
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https://hal.inria.fr/hal-01581516
Contributor : Yessmine Daoud <>
Submitted on : Monday, September 4, 2017 - 7:10:01 PM
Last modification on : Friday, July 23, 2021 - 10:23:16 AM

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  • HAL Id : hal-01581516, version 1
  • IRSTEA : PUB00056185

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Yessmine Daoud, N Abdellatif, T Sari, J Harmand. The effect of a new input concentration substrate on a syntrophic relationship of two species in a chemostat. TAMTAM2017 - Tendances des Applications Mathématiques en Tunisie, Algérie, Maroc, May 2017, Hammamet, Tunisia. pp.69-74. ⟨hal-01581516⟩

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