4 citations · 8 across the 12 of their papers we have counts for
4 papers · 1 filter
Sharp approximation and hitting times for stochastic invasion processes
Vincent Bansaye, Xavier Erny, Sylvie Méléard
We are interested in the invasion phase for stochastic processes with interactions when a single mutant with positive fitness arrives in a resident population at equilibrium. By a…
Filling the gap between individual-based evolutionary models and Hamilton-Jacobi equations
Nicolas Champagnat, Sylvie Méléard, Sepideh Mirrahimi +1
We consider a stochastic model for the evolution of a discrete population structured by a trait with values on a finite grid of the torus, and with mutation and selection. Traits a…
Large population limit of the spectrum of killed birth-and-death processes
J. -R. Chazottes, P. Collet, S. Méléard
We consider a general class of birth-and-death processes with state space which describes the size of a population going eventually to extinction with probabil…
Time reversal of spinal processes for linear and non-linear branching processes near stationarity
Benoît Henry, Sylvie Méléard, Viet Chi Tran
We consider a stochastic individual-based population model with competition, trait-structure affecting reproduction and survival, and changing environment. The changes of traits ar…