Mathematical modelling and analysis for a three-tiered microbial food web in a chemostat

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dc.contributor.authorEl Hajji, Miled
dc.contributor.authorChorfi, Nejmeddine
dc.contributor.authorJleli, Mohamed
dc.date.accessioned2022-08-08T19:47:29Z
dc.date.available2022-08-08T19:47:29Z
dc.date.issued2017-10-11
dc.description.abstractIn this article, we present a mathematical six-dimensional dynamical system involving a three-tiered microbial food web without maintenance. We give a qualitative analysis of the model, and an analysis of the local stability of equilibrium points. Under general assumptions of monotonicity, we prove the uniqueness and the local stability of the positive equilibrium point corresponding to the persistence of the three bacteria. Possibilities of periodic orbits are not excluded and asymptotic coexistence is satisfied.
dc.description.departmentMathematics
dc.formatText
dc.format.extent13 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationEl hajji, M., Chorfi, N., & Jleli, M. (2017). Mathematical modelling and analysis for a three-tiered microbial food web in a chemostat. <i>Electronic Journal of Differential Equations, 2017</i>(255), pp. 1-13.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16049
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectMathematical modelling
dc.subjectThree-tiered microbial food web
dc.subjectLocal stability
dc.subjectCoexistence
dc.subjectAnaerobic digestion
dc.titleMathematical modelling and analysis for a three-tiered microbial food web in a chemostat
dc.typeArticle

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