26 citations · 26 across the 3 of their papers we have counts for
3 papers
math.AP2016★ 26 cited
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…
math.AP2014
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…
math.AP2014
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…