31 citations · 61 across the 18 of their papers we have counts for
10 papers · 1 filter
A way to model stochastic perturbations in population dynamics models with bounded realizations
Tomás Caraballo, Renato Colucci, Javier López-de-la-Cruz +1
In this paper, we analyze the use of the Ornstein-Uhlenbeck process to model dynamical systems subjected to bounded noisy perturbations. In order to discuss the main characteristic…
Identifiability and observability of the SIR model with quarantine
Frédéric Hamelin, Abderrahman Iggidr, Alain Rapaport +2
We analyze the identifiability and observability of the well-known SIR epidemic model with an additional compartment Q of the sub-population of infected individuals that are placed…
Observability, Identifiability and Epidemiology -- A survey
Nik Cunniffe, Frédéric Hamelin, Abderrahman Iggidr +2
In this review, we recall the concepts of Identifiability and Observability of dynamical systems, and analyse them in the framework of Mathematical Epidemiology. We show that, even…
Properties of the chemostat model with aggregated biomass
Alain Rapaport
We revisit the well-known chemostat model, considering that bacteria can be attached together in aggregates or flocs. We distinguish explicitly free and attached compartments in th…
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…
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…