activity
20152026
most citedHousehold epidemic models and McKean-Vlasov Poisson driven stochastic differential equations

8 citations · 25 across the 20 of their papers we have counts for

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Showing 2026Show all

5 papers · 1 filter

q-bio.PE2026

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…

math.PR2026

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…

math.PR2026

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…

math.PR2026

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 …

math.PR2026

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…