2 citations · 5 across the 7 of their papers we have counts for
9 papers
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…
Bacterial Metabolic Heterogeneity: from Stochastic to Deterministic Models
Carl Graham, Jérôme Harmand, Sylvie Méléard +1
We revisit the modeling of the diauxic growth of a pure microorganism on two distinct sugars which was first described by Monod. Most available models are deterministic and make th…
Optimal control of membrane filtration systems
Nesrine Kalboussi, Alain Rapaport, Térence Bayen +3
This paper studies an optimal control problem related to membrane filtration processes. A simple mathematical model of membrane fouling is used to capture the dynamic behavior of t…
A modeling approach of the chemostat
Coralie Fritsch, Jérôme Harmand, Fabien Campillo
Population dynamics and in particular microbial population dynamics, though they are complex but also intrinsically discrete and random, are conventionally represented as determini…
The buffered chemostat with non-monotonic response functions
Alain Rapaport, Ihab Haidar, Jérôme Harmand
We study how a particular spatial structure with a buffer impacts the number of equilibria and their stability in the chemostat model. We show that the occurrence of a buffer can a…
Analysis of a mathematical model of syntrophic bacteria in a chemostat
Tewfik Sari, Miled El Hajji, Jérôme Harmand
A mathematical model involving a syntrophic relationship between two populations of bacteria in a continuous culture is proposed. A detailed qualitative analysis is carried out. Th…