285 citations · 398 across the 14 of their papers we have counts for
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Quasi-Stationary Distributions and Resilience: What to get from a sample?
J. -R. Chazottes, P. Collet, S. Martínez +1
We study a class of multi-species birth-and-death processes going almost surely to extinction and admitting a unique quasi-stationary distribution (qsd for short). When rescaled by…
A birth-death model of ageing: from individual-based dynamics to evolutive differential inclusions
Sylvie Méléard, Michael Rera, Tristan Roget
Ageing's sensitivity to natural selection has long been discussed because of its apparent negative effect on individual's fitness. Thanks to the recently described (Smurf) 2-phase…
Sharp asymptotics for the quasi-stationary distribution of birth-and-death processes
J. -R. Chazottes, P. Collet, S. Méléard
We study a general class of birth-and-death processes with state space that describes the size of a population going to extinction with probability one. This class con…
Stochastic dynamics of adaptive trait and neutral marker driven by eco-evolutionary feedbacks
Sylvain Billiard, Regis Ferriere, Sylvie Méléard +1
How the neutral diversity is affected by selection and adaptation is investigated in an eco-evolutionary framework. In our model, we study a finite population in continuous time, w…
Non local Lotka-Volterra system with cross-diffusion in an heterogeneous medium
Joaquin Fontbona, Sylvie Méléard
We introduce a stochastic individual model for the spatial behavior of an animal population of dispersive and competitive species, considering various kinds of biological effects,…
Stochastic models for a chemostat and long time behavior
Pierre Collet, Servet Martinez, Sylvie Meleard +1
We introduce two stochastic chemostat models consisting in a coupled population-nutrient process reflecting the interaction between the nutrient and the bacterias in the chemostat…