62 citations · 261 across the 37 of their papers we have counts for
46 papers
Invasion dynamics with vanishing fitness for a quasi-critical birth-death process
Vincent Bansaye, Nadia Belmabrouk, Xavier Erny +1
We study the invasion dynamics of populations exhibiting positive density-dependent effects. We start with a single individual and consider a single-type birth and death process. T…
Growing random planar network with oriented branching and fusion
Vincent Bansaye, Gael Raoul, Milica Tomasevic
We consider a growing planar network where a tip grows at constant speed, branches at constant rate and inactivates when it meets a branch already created. We only consider here or…
Stability of non-conservative cross diffusion model and approximation by stochastic particle systems
Vincent Bansaye, Alexandre Bertolino, Ayman Moussa
We study the stability of non-conservative deterministic cross diffusion models and prove that they are approximated by stochastic population models when the populations become loc…
Strong law of large numbers and L log L condition for supercritical branching processes
Vincent Bansaye, Tresnia Berah, Bertrand Cloez
We consider branching processes for structured populations: each individual is characterized by a type or trait which belongs to a general measurable state space. We focus on the s…
Estimation of the lifetime distribution from fluctuations in Bellman-Harris processes
Jules Olayé, Hala Bouzidi, Andrey Aristov +4
The growth of a population is often modeled as branching process where each individual at the end of its life is replaced by a certain number of offspring. An example of these bran…
The epidemiological footprint of contact structures in models with two levels of mixing
Vincent Bansaye, François Deslandes, Madeleine Kubasch +1
Models with several levels of mixing (households, workplaces), as well as various corresponding formulations for R0, have been proposed in the literature. However, little attention…