9 citations · 34 across the 22 of their papers we have counts for
27 papers
When evolution realizes large deviations of fitness: from speciation to dynamical phase transitions
Sara Dal Cengio, Quentin Laurenceau, Vivien Lecomte +2
We explore the connection between evolution and large-deviation theory. To do so, we study evolutionary dynamics in which individuals experience mutations, reproduction, and select…
The tournament ratchet's clicktime process, and metastability in a Moran model
Jan Lukas Igelbrink, Charline Smadi, Anton Wakolbinger
Muller's ratchet, in its prototype version, models a haploid, asexual population whose size~ is constant over the generations. Slightly deleterious mutations are acquired along…
Dynamics of Two Species with Density-Dependent Interactions and Application to Mutualism
Chloë Mian, Sylvain Billiard, Violaine Llaurens +1
Ecological interactions shape the dynamics of natural populations in the wild. Density-dependent processes are widespread and may change the respective effects of populations on on…
Spinal study of a population model for colonial species with interactions and environmental noise
Sylvain Billiard, Charles Medous, Charline Smadi
We introduce and study a stochastic model for the dynamics of colonial species, which reproduce through fission or fragmentation. The fission rate depends on the relative sizes of…
Parasite infection in a cell population: role of the partitioning kernel
Aline Marguet, Charline Smadi
We consider a cell population subject to a parasite infection. Cells divide at a constant rate and, at division, share the parasites they contain between their two daughter cells.…
Quasi-equilibria and click times for a variant of Muller's ratchet
Adrian Gonzalez Casanova, Charline Smadi, Anton Wakolbinger
Consider a population of individuals, each of them carrying a type in . The population evolves according to a Moran dynamics with selection and mutation, where an…
Spread of parasites affecting death and division rates in a cell population
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…
Critical branching processes in random environment with immigration: the size of the only surviving 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. Let be the event that al…
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…
Long time behaviour of continuous-state nonlinear branching processes with catastrophes
Aline Marguet, Charline Smadi
Motivated by the study of a parasite infection in a cell line, we introduce a general class of Markov processes for the modelling of population dynamics. The population process evo…
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…
Extinction rate of continuous state branching processes in critical Lévy environments
Vincent Bansaye, Juan Carlos Pardo, Charline Smadi
We study the speed of extinction of continuous state branching processes in a Lévy environment, where the associated Lévy process oscillates. Assuming that the Lévy process satisfi…
A stochastic individual based model for the growth of a stand of Japanese knotweed including mowing as a management technique
François Lavallée, Charline Smadi, Isabelle Alvarez +4
Invasive alien species are a growing threat for environment and health. They also have a major economic impact, as they can damage many infrastructures. The Japanese knotweed (Fall…
Crossing a fitness valley as a metastable transition in a stochastic population model
Anton Bovier, Loren Coquille, Charline Smadi
We consider a stochastic model of population dynamics where each individual is characterised by a trait in {0,1,...,L} and has a natural reproduction rate, a logistic death rate du…
Looking for the right mate in diploid species: how dominance relationships affect population differentiation in sexual trait?
Charline Smadi, Helene Leman, Violaine Llaurens
Divergence between populations for a given trait can be driven by natural or sexual selection, interacting with migration behaviour. Mating preference for different phenotypes can…
Stochastic dynamics of three competing clones: Conditions and times for invasion, coexistence and fixation
Sylvain Billiard, Charline Smadi
In large clonal populations, several clones generally compete which results in complex evolutionary and ecological dynamics: experiments show successive selective sweeps of favorab…
A stochastic model for speciation by mating preferences
Camille Coron, Manon Costa, Hélène Leman +1
Mechanisms leading to speciation are a major focus in evolutionary biology. In this paper, we present and study a stochastic model of population where individuals, with type a or A…
Asymptotic behaviour of exponential functionals of Lévy processes with applications to random processes in random environment
Sandra Palau, Juan Carlos Pardo, Charline Smadi
Let be a real-valued Lévy process and define its associated exponential functional as follows \[ I_t(ξ):=\int_0^t \exp\{-ξ_s\}{\rm d} s, \qquad t\ge 0. \] Motivat…
The effect of recurrent mutations on genetic diversity in a large population of varying size
Charline Smadi
Recurrent mutations are a common phenomenon in population genetics. They may be at the origin of the fixation of a new genotype, if they give a phenotypic advantage to the carriers…
Reduced two-type decomposable critical branching processes with possibly infinite variance
Charline Smadi, Vladimir A. Vatutin
We consider a Galton-Watson process with two types of particles. Particles of type 2 may produce offspring of both types while particles of ty…
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…