3 citations · 3 across the 4 of their papers we have counts for
6 papers · 1 filter
Parasite infection in a cell population with deaths
Aline Marguet, Charline Smadi
We introduce a general class of branching Markov processes for the modelling of a parasite infection in a cell population. Each cell contains a quantity of parasites which evolves…
Stochastic individual-based models with power law mutation rate on a general finite trait space
Loren Coquille, Anna Kraut, Charline Smadi
We consider a stochastic individual-based model for the evolution of a haploid, asexually reproducing population. The space of possible traits is given by the vertices of a (possib…
Critical branching processes in random environment with immigration: survival of a single family
Charline Smadi, Vladimir A. Vatutin
We consider a critical branching process in an i.i.d. random environment, in which one immigrant arrives at each generation. We are interested in the event that…
Critical branching processes in random environment and Cauchy domain of attraction
Congzao Dong, Charline Smadi, Vladimir A. Vatutin
We are interested in the survival probability of a population modeled by a critical branching process in an i.i.d. random environment. We assume that the random walk associated wit…
Multidimensional -Wright-Fisher processes with general frequency-dependent selection
Adrian Gonzalez Casanova, Charline Smadi
We construct a constant size population model allowing for general selective interactions and extreme reproductive events. It generalizes the idea of (Krone and Neuhauser 1997) who…
The interplay of two mutations in a population of varying size: a stochastic eco-evolutionary model for clonal interference
Sylvain Billiard, Charline Smadi
Clonal interference, competition between multiple co-occurring beneficial mutations, has a major role in adaptation of asexual populations. We provide a simple individual based sto…