Joint work with Nicolas Champagnat, Sylvie Méléard and Chi Tran.
An approach based on Hamilton-Jacobi equations has been developed during the last two decades to study quantitative genetics models, leading to an analytical description of the phenotypic density. Such Hamilton-Jacobi equations are derived, in the regime of small mutational variance, from integro-di erential models, which are themselves derived from stochastic individual based models in the limit of large populations. These equations are hence derived in two steps, each of them being an asymptotic derivation, considering rst large populations and next small mutational effects. In this work, we derive such a Hamilton-Jacobi equation, directly from a stochastic individual based model. This derivation allows a better understanding of the results obtained by the Hamilton-Jacobi approach and would lead to a recti cation of the approach taking into account possible extinctions of sub-populations.
De Nick Barton
De Quentin Griette
De Ada Altieri
De Mete Demircigil
De Elisa Thébault
De Jean-François Arnoldi
De Michael Scott
De Florence Bansept
De Apolline Louvet
De Vincent Bansaye
De Sébastien Lion
De Philipp Messer
De Raphael Forien
De Nicolas Vauchelet
De David MacLeod
De Cheryl Mentuda
De Léo Girardin
De Coralie Fritsch
De Adrian Lam
De Diana Fusco
De Léonard Dekens
De Oana Carja
De Sepideh Mirrahimi
De Olivier Cotto
De Benoît Henry
De Himani Sachdeva
De Florian Patout
De Ignacio Madrid Canales
De Denis Roze
De Julien Berestycki
De Sylvie Ferrari
De Vasilis Dakos
