Charline Smadi

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We consider continuous state branching processes (CSBP's) with additional mul-tiplicative jumps modeling dramatic events in a random environment. These jumps are described by a Lévy process with bounded variation paths. We construct the associated class of processes as the unique solution of a stochastic differential equation. The quenched branching(More)
In large adapting clonal species, several beneficial mutations can co-occur, affecting the process of adaptation. Several experimental and theoretical works showed that clonal interference can be an important factor limiting the rate of adaptation. However, models done so far do not embrace the diversity of observed dynamics in experiments, especially(More)
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, are equivalent from ecological, demographical and spatial points of view, and differ only by their mating preference: two individuals with the same genotype have a higher(More)
  • Vincent Bansaye, Juan Carlos, Pardo Millan, Charline Smadi, Juan Carlos Pardo, Millan
  • 2013
We consider continuous state branching processes (CSBP's for short) with additional multiplicative jumps, which we call catastrophes. Informally speaking, the dynamics of the CSBP is perturbed by independent random catastrophes which cause negative (or positive) jumps to the original process. These jumps are described by a Lévy process with paths of bounded(More)
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