8 citations · 15 across the 8 of their papers we have counts for
10 papers
Mechanistic-statistical model for the expansion of ash dieback
Coralie Fritsch, Marie Grosdidier, Anne Gégout-Petit +1
Hymenoscyphus fraxineus is an invasive forest fungal pathogen that induces severe dieback in European ash populations. The spread of the disease has been closely monitored in Franc…
The Multi-type Bisexual Galton-Watson Branching Process
Coralie Fritsch, Denis Villemonais, Nicolás Zalduendo
In this work we study the bisexual Galton-Watson process with a finite number of types, where females and males mate according to a ''mating function'' and form couples of differen…
Quasi-stationary behavior for an hybrid model of chemostat: the Crump-Young model
Bertrand Cloez, Coralie Fritsch
The Crump-Young model consists of two fully coupled stochastic processes modeling the substrate and microorganisms dynamics in a chemostat. Substrate evolves following an ordinary…
Identifying conversion efficiency as a key mechanism underlying food webs evolution : a step forward, or backward ?
Coralie Fritsch, Sylvain Billiard, Nicolas Champagnat
Body size or mass is one of the main factors underlying food webs structure. A large number of evolutionary models have shown that indeed, the adaptive evolution of body size (or m…
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…
Gaussian approximations for chemostat models in finite and infinite dimensions
Bertrand Cloez, Coralie Fritsch
In a chemostat, bacteria live in a growth container of constant volume in which liquid is injected continuously. Recently, Campillo and Fritsch introduced a mass-structured individ…
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…
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…