4 citations · 14 across the 12 of their papers we have counts for
13 papers
The one step fixed-lag particle smoother as a strategy to improve the prediction step of particle filtering
Samuel Nyobe, Fabien Campillo, Serge Moto +1
Sequential Monte Carlo methods have been a major breakthrough in the field of numerical signal processing for stochastic dynamical state-space systems with partial and noisy observ…
Mean-field limit of interacting 2D nonlinear stochastic spiking neurons
Benjamin Aymard, Fabien Campillo, Romain Veltz
In this work, we propose a nonlinear stochastic model of a network of stochastic spiking neurons. We heuristically derive the mean-field limit of this system. We then design a Mont…
A numerical approach to determine mutant invasion fitness and evolutionary singular strategies
Coralie Fritsch, Fabien Campillo, Otso Ovaskainen
We propose a numerical approach to study the invasion fitness of a mutant and to determine evolutionary singular strategies in evolutionary structured models in which the competiti…
On the variations of the principal eigenvalue with respect to a parameter in growth-fragmentation models
Fabien Campillo, Nicolas Champagnat, Coralie Fritsch
We study the variations of the principal eigenvalue associated to a growth-fragmentation-death equation with respect to a parameter acting on growth and fragmentation. To this aim,…
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 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…