52 citations · 117 across the 7 of their papers we have counts for
5 papers · 1 filter
Stochastic dynamics for adaptation and evolution of microorganisms
Sylvain Billiard, Pierre Collet, Régis Ferrière +2
We present a model for the dynamics of a population of bacteria with a continuum of traits, who compete for resources and exchange horizontally (transfer) an otherwise vertically i…
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…
Stochastic and deterministic models for age-structured populations with genetically variable traits
Regis Ferriere, Viet Chi Tran
Understanding how stochastic and non-linear deterministic processes interact is a major challenge in population dynamics theory. After a short review, we introduce a stochastic ind…
Individual-based probabilistic models of adaptive evolution and various scaling approximations
Nicolas Champagnat, Régis Ferrière, Sylvie Méléard
We are interested in modelling Darwinian evolution, resulting from the interplay of phenotypic variation and natural selection through ecological interactions. Our models are roote…
Timescales of population rarity and commonness in random environments
R. Ferriere, A. Guionnet, I. Kurkova
This paper investigates the influence of environmental noise on the characteristic timescale of the dynamics of density-dependent populations. General results are obtained on the s…