Open AccessA mathematical study of a syntrophic relationship of a model of anaerobic digestion process
Author(s) -
Miled El Hajji,
Frédéric Mazenc,
Jérôme Harmand
Publication year - 2010
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2010.7.641
Subject(s) - monotonic function , stability (learning theory) , anaerobic digestion , equilibrium point , mathematics , methane , biochemical engineering , biological system , ecology , biology , computer science , engineering , mathematical analysis , machine learning , differential equation
A mathematical model involving the syntrophic relationship of two major populations of bacteria (acetogens and methanogens), each responsible for a stage of the methane fermentation process is proposed. A detailed qualitative analysis is carried out. The local and global stability analyses of the equilibria are performed. We demonstrate, under general assumptions of monotonicity, relevant from an applied point of view, the global asymptotic stability of a positive equilibrium point which corresponds to the coexistence of acetogenic and methanogenic bacteria.