6 papers
AM2 model with a series configuration of interconnected chemostats and distinct removal rates
Thamer Hmidhi, Radhouane Fekih-Salem
We investigate the dynamics of the AM2 model in a serial configuration of two interconnected chemostats with distinct dilution rates. The system is described by nonlinear different…
Qualitative Analysis of a Three-Stage Anaerobic Digestion Model with Microbial Decay
Radhouane Fekih-Salem
We extend a three-stage anaerobic digestion model by incorporating microbial mortality into the hydrolysis of particulate organic matter. The model describes hydrolysis, acidogenes…
Global dynamics and bifurcation analysis of a chemostat model with obligate mutualism and mortality
Tahani Mtar, Radhouane Fekih-Salem
We propose a system of differential equations modeling the competition between two obligate mutualistic species for a single nutrient in a chemostat. Each species promotes the grow…
Analysis of anaerobic digestion model with two serial interconnected chemostats
Thamer Hmidhi, Radhouane Fekih-Salem, Jérôme Harmand
In this paper, we study a well known two-step anaerobic digestion model in a configuration of two chemostats in series. This model is an eight-dimensional system of ordinary differ…
Analysis and operating diagram of an interspecific density-dependent model
Tahani Mtar, Radhouane Fekih-Salem
This paper studies a two microbial species model in competition for a single resource in the chemostat including general interspecific density-dependent growth rates with distinct…
The operating diagram of a flocculation model in the chemostat and its dependence on the biological parameters
Radhouane Fekih-Salem, Tewfik Sari
In this paper, we consider a flocculation model in a chemostat where one species is present in two forms: planktonic and aggregated bacteria with the presence of a single resource.…