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Effect of a new variable integration on steady states of a two-step Anaerobic Digestion Model.

Authors :
Benyahia B
Sari T
Source :
Mathematical biosciences and engineering : MBE [Math Biosci Eng] 2020 Aug 13; Vol. 17 (5), pp. 5504-5533.
Publication Year :
2020

Abstract

This paper deals with a mathematical analysis of two-steps model of anaerobic digestion process, including dynamics of soluble microbial products (SMP). We propose to investigate effects of the new variable SMP on qualitative properties of the process in different generic cases. Equilibria of the model are graphically established considering qualitative properties of the kinetics and, their stability are proved theoretically and/or verified by numerical simulations. It will shown that the model has a rich qualitative behavior as equilibria bifurcation and multi-stability according to the considered bifurcation parameter.

Subjects

Subjects :
Kinetics
Anaerobiosis

Details

Language :
English
ISSN :
1551-0018
Volume :
17
Issue :
5
Database :
MEDLINE
Journal :
Mathematical biosciences and engineering : MBE
Publication Type :
Academic Journal
Accession number :
33120563
Full Text :
https://doi.org/10.3934/mbe.2020296