The operating diagram for a two-step anaerobic digestion model. - INRAE - Institut national de recherche pour l’agriculture, l’alimentation et l’environnement Accéder directement au contenu
Article Dans Une Revue Nonlinear Dynamics Année : 2021

The operating diagram for a two-step anaerobic digestion model.

Résumé

The anaerobic digestion model ADM1 is a complex model which is widely accepted as a common platform for anaerobic process modeling and simulation. However, it has a large number of parameters and states that hinder its analytic study. Here, we consider the two-step simple model of anaerobic digestion named AM2, which is a four-dimensional system of ordinary differential equations. The AM2 model is able to adequately capture the main dynamical behavior of the full anaerobic digestion model ADM1 and has the advantage that a complete analysis for the existence and local stability of its steady states is available. We describe its operating diagram, which is the bifurcation diagram giving the behavior of the system with respect to the operating parameters, represented by the dilution rate and the input concentrations of the substrates. This diagram is very useful to understand the model from both the mathematical and biological points of view. It is shown that six types of behavior can be obtained for the long-term dynamics of the AM2 model, concerning the coexistence or extinction of one or both bacterial populations.
Fichier principal
Vignette du fichier
NODY-D-20-01624R2-Final.pdf (3.2 Mo) Télécharger le fichier
Origine : Fichiers éditeurs autorisés sur une archive ouverte

Dates et versions

hal-02557464 , version 1 (28-04-2020)
hal-02557464 , version 2 (22-07-2021)

Identifiants

Citer

Tewfik Sari, Boumediene Benyahia. The operating diagram for a two-step anaerobic digestion model.. Nonlinear Dynamics, 2021, ⟨10.1007/s11071-021-06722-7⟩. ⟨hal-02557464v2⟩
109 Consultations
76 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More