El Hajji, MiledChorfi, NejmeddineJleli, Mohamed2022-08-082022-08-082017-10-11El 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. 1-13.1072-6691https://hdl.handle.net/10877/16049In 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.Text13 pages1 file (.pdf)enAttribution 4.0 InternationalMathematical modellingThree-tiered microbial food webLocal stabilityCoexistenceAnaerobic digestionArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.