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- Fabien Campillo, C. Lobry
- 2011

We consider a stochastic version of the basic predator-prey differential equation model. The model, which contains a parameter Ï‰ which represents the number of individuals for one unit of prey If xâ€¦ (More)

- Fabien Campillo, Nicolas Champagnat, Coralie Fritsch
- Journal of mathematical biology
- 2016

We present two approaches to study invasion in growth-fragmentation-death models. The first one is based on a stochastic individual based model, which is a piecewise deterministic branching processâ€¦ (More)

- Fabien Campillo, Rivo Rakotozafy, Vivien Rossi
- Mathematics and Computers in Simulation
- 2009

In many situations it is important to be able to propose N independent realizations of a given distribution law. We propose a strategy for making N parallel Monte Carlo Markov Chains (MCMC) interactâ€¦ (More)

We consider the nonlinear ltering problem for systems with noise{free state equation. First, we study a particle approximation of the a posteriori probability distribution, and we give an estimate ofâ€¦ (More)

We propose an IBM for clonal plant dynamics, focusing on the effects of the network structure of the plants on the reproductive strategy of ramets. After some numerical tests we propose a largeâ€¦ (More)

- Fabien Campillo, Marc Joannides, IrÃ¨ne Larramendy-Valverde
- Mathematics and Computers in Simulation
- 2014

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 washoutâ€¦ (More)

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 together with anotherâ€¦ (More)

We propose a stochastic individual-based model for clonal plant dynamics in continuous time and space, focusing on the effects of the network structure of the plants on the reproductive strategy ofâ€¦ (More)

The chemostat is classically represented, at high population scale, as a system of ordinary differential equations. Our goal is to establish a set of stochastic models that are valid at differentâ€¦ (More)

- Boumediene Benyahia, Fabien Campillo, Brahim Cherki, JÃ©rÃ´me Harmand
- 2012 20th Mediterranean Conference on Controlâ€¦
- 2012

We develop a particle filter approximation of the optimal nonlinear filter in the context of the chemostat. We propose a stochastic model of the chemostat together with an observation model. One ofâ€¦ (More)