285 citations · 398 across the 14 of their papers we have counts for
17 papers
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…
The effect of competition and horizontal trait inheritance on invasion, fixation and polymorphism
Sylvain Billiard, Pierre Collet, Régis Ferrière +2
Horizontal transfer (HT) of heritable information or `traits' (carried by genetic elements, endosymbionts, or culture) is widespread among living organisms. Yet current ecological…
Stochastic eco-evolutionary model of a prey-predator community
Manon Costa, Céline Hauzy, Nicolas Loeuille +1
We are interested in the impact of natural selection in a prey-predator community. We introduce an individual-based model of the community that takes into account both prey and pre…
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…
Influence of a spatial structure on the long time behavior of a competitive Lotka-Volterra type system
Hélène Leman, Sylvie Meleard, Sepideh Mirrahimi
To describe population dynamics, it is crucial to take into account jointly evolution mechanisms and spatial motion. However, the models which include these both aspects, are not s…