Steady state analysis of a syntrophic model: the effect of a new input substrate concentration - INRAE - Institut national de recherche pour l’agriculture, l’alimentation et l’environnement Accéder directement au contenu
Article Dans Une Revue Mathematical Modelling of Natural Phenomena Année : 2018

Steady state analysis of a syntrophic model: the effect of a new input substrate concentration

Résumé

In this work, we are interested in a reduced and simplified model of the anaerobic digestion process. We focus on the acetogenesis and hydrogenetrophic methanogenesis phases. The model describes a syntrophic relashionship between two microbial species (the acetogenic bacteria and the hydrogenetrophic methanogenic bacteria) with two input substrates (the fatty acids and the hydrogen) including both decay terms and inhibition of the acetogenic bacteria growth by an excess of hydrogen in the system. The existence and stability analysis of the steady states of the model points out the existence of a new equilibrium point which can be stable according to the operating parameters of the system. By means of operating diagrams, we show that, whatever the region of space considered, there exists only one locally exponentially stable steady state.
Fichier principal
Vignette du fichier
pub00059000.pdf (1.39 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02608022 , version 1 (16-05-2020)

Licence

Copyright (Tous droits réservés)

Identifiants

Citer

Yessmine Daoud, Nahla Abdellatif, Tewfik Sari, Jérome Harmand. Steady state analysis of a syntrophic model: the effect of a new input substrate concentration. Mathematical Modelling of Natural Phenomena, 2018, 13 (3), pp.21. ⟨10.1051/mmnp/2018037⟩. ⟨hal-02608022⟩
51 Consultations
70 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More