31 citations · 61 across the 18 of their papers we have counts for
4 papers · 1 filter
A new proof of the competitive exclusion principle in the chemostat
Alain Rapaport, Mario Veruete
We give an new proof of the well-known competitive exclusion principle in the chemostat model with species competing for a single resource, for any set of increasing growth fun…
About the chemostat model with a lateral diffusive compartment
María Crespo, Alain Rapaport
We consider the classical chemostat model with an additional compartment connected by pure diffusion, and analyze its asymptotic properties. We investigate conditions under which t…
Corrigendum to the chapter "Some aspects concerning the dynamics of stochastic chemostats"
Tomás Caraballo, María J. Garrido-Atienza, Javier López-de-la-Cruz +1
In this paper we correct an error made in a previous work, where a misleading stochastic system was obtained due to a lapse concerning a sign in one of the equations at the beginni…
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…