19 citations · 47 across the 11 of their papers we have counts for
4 papers · 1 filter
Individual-based models under various time-scales
Aurélien Velleret
This article is a presentation of specific recent results describing scaling limits of individual-based models. Thanks to them, we wish to relate the time-scales typical of demogra…
Adaptation of a population to a changing environment under the light of quasi-stationarity
Aurélien Velleret
We analyze the long-term stability of a stochastic model designed to illustrate the adaptation of a population to variation in its environment. A piecewise-deterministic process mo…
Two level natural selection with a quasi-stationarity approach
Aurélien Velleret
In a view for a simple model where natural selection at the individual level is confronted to selection effects at the group level, we consider some individual-based models of some…
Exponential quasi-ergodicity for processes with discontinuous trajectories
Aurélien Velleret
This paper tackles the issue of establishing a lower-bound on the asymptotic ratio of survival probabilities between two different initial conditions, asymptotically in time for a…