A mathematical study of a syntrophic relationship of a modelof anaerobic digestion process
A mathematical model involving the syntrophic relationship of two major populations of bacteria(acetogens and methanogens), each responsible for a stage of the methanefermentation process is proposed. A detailed qualitative analysis iscarried out. The local and global stability analyses of the equil...
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| Format: | Article |
| Language: | English |
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AIMS Press
2010-05-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.641 |
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| author | Miled El Hajji Frédéric Mazenc Jérôme Harmand |
| author_facet | Miled El Hajji Frédéric Mazenc Jérôme Harmand |
| author_sort | Miled El Hajji |
| collection | DOAJ |
| description | A mathematical model involving the syntrophic relationship of two major populations of bacteria(acetogens and methanogens), each responsible for a stage of the methanefermentation process is proposed. A detailed qualitative analysis iscarried out. The local and global stability analyses of the equilibria are performed.We demonstrate, under general assumptions of monotonicity, relevant froman applied point of view, the global asymptotic stability of a positiveequilibrium point which corresponds to the coexistence of acetogenic andmethanogenic bacteria. |
| format | Article |
| id | doaj-art-9e7bcb2e55824e988c726fd2d138e5a3 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2010-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-9e7bcb2e55824e988c726fd2d138e5a32025-01-24T02:00:43ZengAIMS PressMathematical Biosciences and Engineering1551-00182010-05-017364165610.3934/mbe.2010.7.641A mathematical study of a syntrophic relationship of a modelof anaerobic digestion processMiled El Hajji0Frédéric Mazenc1Jérôme Harmand2UMR Analyses des Systèmes et Biométrie, INRA 02 Place, INRA-INRIA MERE research team, Viala, 34060 MontpellierUMR Analyses des Systèmes et Biométrie, INRA 02 Place, INRA-INRIA MERE research team, Viala, 34060 MontpellierUMR Analyses des Systèmes et Biométrie, INRA 02 Place, INRA-INRIA MERE research team, Viala, 34060 MontpellierA mathematical model involving the syntrophic relationship of two major populations of bacteria(acetogens and methanogens), each responsible for a stage of the methanefermentation process is proposed. A detailed qualitative analysis iscarried out. The local and global stability analyses of the equilibria are performed.We demonstrate, under general assumptions of monotonicity, relevant froman applied point of view, the global asymptotic stability of a positiveequilibrium point which corresponds to the coexistence of acetogenic andmethanogenic bacteria.https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.641syntrophicrelationshipmathematical modellinganaerobic digestioncoexistence.asymptotic stability |
| spellingShingle | Miled El Hajji Frédéric Mazenc Jérôme Harmand A mathematical study of a syntrophic relationship of a modelof anaerobic digestion process Mathematical Biosciences and Engineering syntrophicrelationship mathematical modelling anaerobic digestion coexistence. asymptotic stability |
| title | A mathematical study of a syntrophic relationship of a modelof anaerobic digestion process |
| title_full | A mathematical study of a syntrophic relationship of a modelof anaerobic digestion process |
| title_fullStr | A mathematical study of a syntrophic relationship of a modelof anaerobic digestion process |
| title_full_unstemmed | A mathematical study of a syntrophic relationship of a modelof anaerobic digestion process |
| title_short | A mathematical study of a syntrophic relationship of a modelof anaerobic digestion process |
| title_sort | mathematical study of a syntrophic relationship of a modelof anaerobic digestion process |
| topic | syntrophicrelationship mathematical modelling anaerobic digestion coexistence. asymptotic stability |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.641 |
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