8 citations · 25 across the 20 of their papers we have counts for
22 papers
Failure of the fittest: limits on asexual adaptation to changing environments
Rebekah Hall, Raphael Forien, Matthew M Osmond +1
The dynamics of adaptation in a population are informed by its mode of reproduction. Whether individuals reproduce sexually or asexually, then, can have large effects on population…
Eco-evolutionary cycles in a matching type predator-prey interaction
Manon Costa, Peter Czuppon, Raphaël Forien
We study the population dynamics of a predator-prey system with two types in each species. Within a species, predator or prey, dynamics are described by a neutral competitive Lotka…
Correction to "The stepping stone model in a random environment" -- limit theorems for the occupation time and intersection time of reversible random walks in random environments
Raphaël Forien
This note corrects a mistake in the author's above-mentionned published work regarding the intersection local time of two independent random walks in a random environment. The rand…
Stochastic epidemic model with varying infectivity and waning immunity: the law of large numbers with unbounded infectivity
Raphaël Forien, Étienne Pardoux
We revisit the large population limit of our epidemic model with infection age dependent infectivity and progressive immunity waning, under the assumption that the supremum in …
Fluctuations for fully pushed stochastic fronts
Alison Etheridge, Raphaël Forien, Thomas Hughes +1
We study the asymptotic behaviour, in the small noise limit, of stochastic travelling wave solutions to reaction-diffusion equations perturbed by Wright-Fisher noise. Such equation…
Stochastic neutral fractions and the effective population size
Raphaël Forien, Emmanuel Schertzer, Zsófia Talyigás +1
The dynamics of a general structured population is modelled using a general stochastic differential equation (SDE) with an infinite decomposability property. This property allows t…
Lambda-Fleming-Viot processes arising in logistic Bienaymé-Galton-Watson processes with a large carrying capacity
Raphaël Forien
We consider a continuous-time Bienaymé-Galton-Watson process with logistic competition in a regime of weak competition, or equivalently of a large carrying capacity. Individuals re…
Central limit theorems describing isolation by distance under varying population size
Raphaël Forien, Bastian Wiederhold
We derive a central limit theorem for a spatial -Fleming-Viot model with fluctuating population size. At each reproduction, a proportion of the population dies and is replaced b…
A measure-valued stochastic model for vector-borne viruses
Mario Ayala, Jerome Coville, Raphael Forien
In this work we propose a measure-valued stochastic process representing the dynamics of a virus population, structured by phenotypic traits and geographical space, and where virus…
Central limit theorems describing isolation by distance under various forms of power-law dispersal
Raphaël Forien, Bastian Wiederhold
In this paper, we uncover new asymptotic isolation by distance patterns occurring under long-range dispersal of offspring. We extend a recent work of the first author, in which thi…
Stochastic epidemic models with varying infectivity and waning immunity
Raphaël Forien, Guodong Pang, Étienne Pardoux +1
We study an individual-based stochastic epidemic model in which infected individuals become susceptible again following each infection. In contrast to classical compartment models,…
Multi-patch multi-group epidemic model with varying infectivity
Raphaël Forien, Guodong Pang, Étienne Pardoux
This paper presents a law of large numbers result, as the size of the population tends to infinity, of SIR stochastic epidemic models, for a population distributed over distinc…
Recent Advances in Epidemic Modeling: Non-Markov Stochastic Models and their Scaling Limits
Raphael Forien, Guodong Pang, Etienne Pardoux
In this survey paper, we review the recent advances in individual based non--Markovian epidemic models. They include epidemic models with a constant infectivity rate, varying infec…
The emergence of a birth-dependent mutation rate: causes and consequences
Florian Patout, R Forien, M Alfaro +2
In unicellular organisms such as bacteria and in most viruses, mutations mainly occur during reproduction. Thus, genotypes with a high birth rate should have a higher mutation rate…
Ancestral lineages in mutation-selection equilibria with moving optimum
Raphaël Forien, Jimmy Garnier, Florian Patout
We investigate the evolutionary dynamics of a population structured in phenotype, subjected to trait dependent selection with a linearly moving optimum and an asexual mode of repro…
Epidemic models with varying infectivity
Raphael Forien, Guodong Pang, Etienne Pardoux
We introduce an epidemic model with varying infectivity and general exposed and infectious periods, where the infectivity of each individual is a random function of the elapsed tim…
Stochastic partial differential equations describing neutral genetic diversity under short range and long range dispersal
Raphaël Forien
In this paper, we consider a mathematical model for the evolution of neutral genetic diversity in a spatial continuum including mutations, genetic drift and either short range or l…
Household epidemic models and McKean-Vlasov Poisson driven stochastic differential equations
Raphael Forien, Etienne Pardoux
This paper presents a new view of household epidemic models, where the interaction between the households is of mean field type. We thus obtain in the limit of infinitely many hous…
The stepping stone model in a random environment and the effect of local heterogneities on isolation by distance patterns
Raphaël Forien
We study a one-dimensional spatial population model where the population sizes at each site are chosen according to a translation invariant and ergodic distribution and are uniform…
Gene flow across geographical barriers - scaling limits of random walks with obstacles
Raphael Forien
In this paper, we study the scaling limit of a class of random walks which behave like simple random walks outside of a bounded region around the origin and which are subject to a…
Demographic inference for spatially heterogeneous populations using long shared haplotypes
Raphael Forien, Harald Ringbauer, Graham Coop
We introduce a modified spatial -Fleming-Viot process to model the ancestry of individuals in a population occupying a continuous spatial habitat divided into two areas by a sha…
A central limit theorem for the spatial Lambda Fleming-Viot process with selection
Raphaël Forien, Sarah Penington
We study the evolution of gene frequencies in a population living in , modelled by the spatial Lambda Fleming-Viot process with natural selection (Barton, Etheridge a…