25 citations · 40 across the 4 of their papers we have counts for
11 papers · 1 filter
Selection and mutation in a shifting and fluctuating environment
Susely Figueroa Iglesias, Sepideh Mirrahimi
We study the evolutionary dynamics of a phenotypically structured population in a changing environment , where the environmental conditions vary with a linear trend but in an oscil…
Survival criterion for a population subject to selection and mutations ; Application to temporally piecewise constant environments
Manon Costa, Christèle Etchegaray, Sepideh Mirrahimi
We study a parabolic Lotka-Volterra type equation that describes the evolution of a population structured by a phenotypic trait, under the effects of mutations and competition for…
Propagation in a fractional reaction-diffusion equation in a periodically hostile environment
Alexis Léculier, Sepideh Mirrahimi, Jean-Michel Roquejoffre
We provide an asymptotic analysis of a fractional Fisher-KPP type equation in periodic non-connected 1-dimensional media with Dirichlet conditions outside the domain. After demonst…
Non-local competition slows down front acceleration during dispersal evolution
Vincent Calvez, Christopher Henderson, Sepideh Mirrahimi +2
We investigate the super-linear spreading in a reaction-diffusion model analogous to the Fisher-KPP equation, but in which the population is heterogeneous with respect to the dispe…
Singular limits for models of selection and mutations with heavy-tailed mutation distribution
Sepideh Mirrahimi
In this article, we perform an asymptotic analysis of a nonlocal reaction-diffusion equation, with a fractional laplacian as the diffusion term and with a nonlocal reaction term. S…
A Hamilton-Jacobi method to describe the evolutionary equilibria in heterogeneous environments and with non-vanishing effects of mutations
Sepideh Mirrahimi, Sylvain Gandon
In this note, we characterize the solution of a system of elliptic integro-differential equations describing a phe-notypically structured population subject to mutation, selection…