123 citations · 404 across the 24 of their papers we have counts for
32 papers
From stochastic individual-based models to free-boundary Hamilton-Jacobi equations
Nicolas Champagnat, Sylvie Méléard, Sepideh Mirrahimi +1
We study a stochastic branching model for a population structured by a quantitative phenotypic trait and subject to births, deaths, and mutations. In a regime of large population a…
Concentration in selection-mutation models: error estimates and asymptotic expansions
Caroline Guinet, Sepideh Mirrahimi, Jean-Michel Roquejoffre
In this paper, we study an integro-differential equation which describes the evolutionary dynamics of a population structured by a phenotypic trait. This population undergoes asexu…
A Hamilton-Jacobi approach for the evolutionary dynamics of a model with gene transfer: characterizing monomorphic dynamics for non-concave fitness functions
Alejandro Gárriz, Sepideh Mirrahimi
We study the asymptotic behavior of an integro-dierential equation describing the evolutionary adaptation of a population structured by a phenotypic trait. The model takes into acc…
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…
Impact of the horizontal gene transfer on the evolutionary equilibria of a population
Alejandro Gárriz, Alexis Léculier, Sepideh Mirrahimi
How does the interplay between selection, mutation and horizontal gene transfer modify the phenotypic distribution of a bacterial or cell population? While horizontal gene transfer…
Filling the gap between individual-based evolutionary models and Hamilton-Jacobi equations
Nicolas Champagnat, Sylvie Méléard, Sepideh Mirrahimi +1
We consider a stochastic model for the evolution of a discrete population structured by a trait with values on a finite grid of the torus, and with mutation and selection. Traits a…
Dynamics of dirac concentrations in the evolution of quantitative alleles with sexual reproduction
Léonard Dekens, Sepideh Mirrahimi
A proper understanding of the links between varying gene expression levels and complex trait adaptation is still lacking, despite recent advances in sequencing techniques leading t…
Adaptation to a heterogeneous patchy environment with nonlocal dispersion
Alexis Léculier, Sepideh Mirrahimi
In this work, we provide an asymptotic analysis of the solutions to an elliptic integro-differential equation. This equation describes the evolutionary equilibria of a phenotypical…
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…
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…
Long time evolutionary dynamics of phenotypically structured populations in time periodic environments
Susely Figueroa Iglesias, Sepideh Mirrahimi
We study the long time behavior of a parabolic Lotka-Volterra type equation considering a time-periodic growth rate with non-local competition. Such equation describes the dynamics…
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…
A class of Hamilton-Jacobi equations with constraint: uniqueness and constructive approach
Sepideh Mirrahimi, Jean-Michel Roquejoffre
We discuss a class of time-dependent Hamilton-Jacobi equations, where an unknown function of time is intended to keep the maximum of the solution to the constant value 0. Our main…
Uniqueness in a class of Hamilton-Jacobi equations with constraints
Sepideh Mirrahimi, Jean-Michel Roquejoffre
In this note, we discuss a class of time-dependent Hamilton-Jacobi equations depending on a function of time, this function being chosen in order to keep the maximum of the solutio…
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…
Influence of a spatial structure on the long time behavior of a competitive Lotka-Volterra type system
Hélène Leman, Sylvie Meleard, Sepideh Mirrahimi
To describe population dynamics, it is crucial to take into account jointly evolution mechanisms and spatial motion. However, the models which include these both aspects, are not s…
A Hamilton-Jacobi approach for a model of population structured by space and trait
Emeric Bouin, Sepideh Mirrahimi
We study a non-local parabolic Lotka-Volterra type equation describing a population structured by a space variable x 2 Rd and a phenotypical trait 2 . Considering diffusion, mutati…
Time fluctuations in a population model of adaptive dynamics
Sepideh Mirrahimi, Benoit Perthame, Panagiotis E. Souganidis
We study the dynamics of phenotypically structured populations in environments with fluctuations. In particular, using novel arguments from the theories of Hamilton-Jacobi equation…