Mathematical modelling and analysis for a three-tiered microbial food web in a chemostat
El Hajji, Miled
Texas State University, Department of Mathematics
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.
Mathematical modelling, Three-tiered microbial food web, Local stability, Coexistence, Anaerobic digestion
El 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.