4 citations · 14 across the 12 of their papers we have counts for
6 papers · 1 filter
Links between deterministic and stochastic approaches for invasion in growth-fragmentation-death models
Fabien Campillo, Nicolas Champagnat, Coralie Fritsch
We present two approaches to study invasion in growth-fragmentation-death mod- els. The first one is based on a stochastic individual based model, which is a piecewise deterministi…
A mass-structured individual-based model of the chemostat: convergence and simulation
Fabien Campillo, Coralie Fritsch
We propose a model of chemostat where the bacterial population is individually-based, each bacterium is explicitly represented and has a mass evolving continuously over time. The s…
Approximation of the Fokker-Planck equation of the stochastic chemostat
Fabien Campillo, Marc Joannides, Irène Larramendy-Valverde
We consider a stochastic model of the two-dimensional chemostat as a diffusion process for the concentration of substrate and the concentration of biomass. The model allows for the…
A Markov model of land use dynamics
Fabien Campillo, Dominique Hervé, Angelo Raherinirina +1
The application of the Markov chain to modeling agricultural succession is well known. In most cases, the main problem is the inference of the model, i.e. the estimation of the tra…
A spatially explicit Markovian individual-based model for terrestrial plant dynamics
Fabien Campillo, Marc Joannides
An individual-based model (IBM) of a spatiotemporal terrestrial ecological population is proposed. This model is spatially explicit and features the position of each individual tog…
Parallel and interacting Markov chains Monte Carlo method
Fabien Campillo, Vivien Rossi
In many situations it is important to be able to propose independent realizations of a given distribution law. We propose a strategy for making parallel Monte Carlo Markov…