25 citations · 40 across the 4 of their papers we have counts for
12 papers
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…
A Fokker-Planck approach to the study of robustness in gene expression
Pierre Degond, Maxime Herda, Sepideh Mirrahimi
We study several Fokker-Planck equations arising from a stochastic chemical kinetic system modeling a gene regulatory network in biology. The densities solving the Fokker-Planck eq…
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…