6 papers
Effect of stochasticity on the growth of the infty-parent SLFV process
Jan Lukas Igelbrink, Apolline Louvet
We explore the impact of different forms of stochasticity on the expansion dynamics of a stochastic growth model called the -parent spatial -Fleming Viot process. This p…
A new stochastic SIS-type modelling framework for analysing epidemic dynamics in continuous space
Apolline Louvet, Bastian Wiederhold
We propose a new stochastic epidemiological model defined in a continuous space of arbitrary dimension, based on SIS dynamics implemented in a spatial -Fleming-Viot (SLFV) proce…
Asymptotics for the growth of the infinite-parent Spatial Lambda-Fleming-Viot model
Apolline Louvet, Matthew I. Roberts
The infinite-parent spatial Lambda-Fleming-Viot (SLFV) process is a model of random growth, in which a set evolves by the addition of balls according to points of an underlying Poi…
Measure-valued growth processes in continuous space and growth properties starting from an infinite interface
Apolline Louvet, Amandine Veber
The k-parent and infinite-parent spatial Lambda-Fleming Viot processes (or SLFV), introduced in Louvet (2023), form a family of stochastic models for spatially expanding population…
Extinction threshold and large population limit of a plant metapopulation model with recurrent extinction events and a seed bank component
Apolline Louvet
We introduce a new model for plant metapopulations with a seed bank component, living in a fragmented environment in which local extinction events are frequent. This model is an in…
Stochastic measure-valued models for populations expanding in a continuum
Apolline Louvet
We model spatially expanding populations by means of two spatial -Fleming Viot processes (or SLFVs) with selection: the k-parent SLFV and the -parent SLFV. In order to d…