3 papers
math.DS2024
Long time behavior of a degenerate stochastic system modeling the response of a population face to environmental impacts
Pierre Collet, Claire Ecotière, Sylvie Méléard
We study the asymptotics of a two-dimensional stochastic differential system with a degenerate diffusion matrix. This system describes the dynamics of a population where individual…
math.PR2022
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…
math.PR2022
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…