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math.PR2019★ 5 cited
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…
math.PR2019★ 8 cited
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…