191 citations · 327 across the 22 of their papers we have counts for
22 papers · 1 filter
Dynamics of lineages in adaptation to a gradual environmental change
Vincent Calvez, Benoît Henry, Sylvie Méléard +1
We investigate a simple quantitative genetics model subjet to a gradual environmental change from the viewpoint of the phylogenies of the living individuals. We aim to understand b…
Scaling limits of bisexual Galton-Watson processes
Vincent Bansaye, Maria-Emilia Caballero, Sylvie Méléard +1
Bisexual Galton-Watson processes are discrete Markov chains where reproduction events are due to mating of males and females. Owing to this interaction, the standard branching prop…
Large fluctuations in multi-scale modeling for rest erythropoiesis
Celine Bonnet, Sylvie Méléard
Erythropoiesis is a mechanism for the production of red blood cells by cellular differentiation. It is based on amplification steps due to an interplay between renewal and differen…
Stochastic analysis of emergence of evolutionary cyclic behavior in population dynamics with transfer
Nicolas Champagnat, Sylvie Méléard, Viet Chi Tran
Horizontal gene transfer consists in exchanging genetic materials between microorganisms during their lives. This is a major mechanism of bacterial evolution and is believed to be…
Scaling limits of general population processes - Wright-Fisher and branching processes in random environment
Vincent Bansaye, Maria-Emilia Caballero, Sylvie Méléard
Our motivation comes from the large population approximation of individual based models in population dynamics and population genetics. We propose a general method to investigate s…
Diffusions from Infinity
Vincent Bansaye, Pierre Collet, Servet Martinez +2
In this paper we consider diffusions on the half line (0, ) such that the expectation of the arrival time at the origin is uniformly bounded in the initial point. This impl…