3 papers
math.PR2022
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…
math.AP2021
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…
math.PR2018
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…