26 citations · 26 across the 3 of their papers we have counts for
4 papers · 1 filter
A moment-based approach for the analysis of the infinitesimal model in the regime of small variance
J Guerand, M Hillairet, S Mirrahimi
We provide an asymptotic analysis of a nonlinear integro-differential equation describing the evolutionary dynamics of a population which reproduces sexually and which is subject t…
A Hamilton-Jacobi approach to characterize the evolutionary equilibria in heterogeneous environments
Sepideh Mirrahimi
In this work, we characterize the solution of a system of elliptic integro-differential equations describing a phenotypically structured population subject to mutation, selection a…
Asymptotic analysis of a selection model with space
Sepideh Mirrahimi, Benoit Perthame
Selection of a phenotypical trait can be described in mathematical terms by 'stage structured' equations which are usually written under the form of integral equations so as to exp…
Singular limits for reaction-diffusion equations with fractional Laplacian and local or nonlocal nonlinearity
Sylvie Méléard, Sepideh Mirrahimi
We perform an asymptotic analysis of models of population dynamics with a fractional Laplacian and local or nonlocal reaction terms. The first part of the paper is devoted to the l…