69 citations · 70 across the 3 of their papers we have counts for
4 papers · 1 filter
Lévy flights in ecology
Benjamin Jourdain, Sylvie Méléard, Wojbor Woyczynski
We are interested in modeling Darwinian evolution resulting from the interplay of phenotypic variation and natural selection through ecological interactions. The population is mode…
A host-parasite multilevel interacting process and continuous approximations
Sylvie Méléard, Sylvie Roelly
We are interested in modeling some two-level population dynamics, resulting from the interplay of ecological interactions and phenotypic variation of individuals (or hosts) and the…
Nonlinear SDEs driven by Lévy processes and related PDEs
Benjamin Jourdain, Sylvie Méléard, Wojbor Woyczynski
In this paper we study general nonlinear stochastic differential equations, where the usual Brownian motion is replaced by a Lévy process. We also suppose that the coefficient mult…
Quasi-stationary distributions and diffusion models in population dynamics
Patrick Cattiaux, Pierre Collet, Amaury Lambert +3
In this paper, we study quasi-stationarity for a large class of Kolmogorov diffusions. The main novelty here is that we allow the drift to go to at the origin, and the d…