Miled El hajji, Nejmeddine Chorfi, Mohamed Jleli
Abstract:
In 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.
Submitted April 12, 2017. Published October 11, 2017.
Math Subject Classifications: 35N25, 49K40.
Key Words: Mathematical modelling; three-tiered microbial food web;
local stability; coexistence; Anaerobic digestion.
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Miled El Hajji General studies department College of Telecom and Electronics Technical and Vocational Training Corporation Jeddah 2146, Saudi Arabia email: miled.elhajji@enit.rnu.tn |
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Nejmeddine Chorfi Department of Mathematics College of Sciences King Saud University Riyadh 11451, Saudi Arabia email: nchorfi@ksu.edu.sa |
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Mohamed Jleli Department of Mathematics College of Sciences King Saud University Riyadh 11451, Saudi Arabia email: jleli@ksu.edu.sa |
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