16 citations · 27 across the 9 of their papers we have counts for
9 papers · 1 filter
Adaptation to a changing environment: what me Normal?
Jimmy Garnier, O Cotto, T Bourgeron +4
Predicting the adaptation of populations to a changing environment is crucial to assess the impact of human activities on biodiversity. Many theoretical studies have tackled this i…
Ancestral lineages in mutation-selection equilibria with moving optimum
Raphaël Forien, Jimmy Garnier, Florian Patout
We investigate the evolutionary dynamics of a population structured in phenotype, subjected to trait dependent selection with a linearly moving optimum and an asexual mode of repro…
Asymptotic analysis of a quantitative genetics model withnonlinear integral operator
Vincent Calvez, Jimmy Garnier, Florian Patout
We study the asymptotic behavior of stationary solutions to a quantitative genetics model with trait-dependent mortality and sexual reproduction. The infinitesimal model accounts f…
Thin front limit of an integro--differential Fisher--KPP equation with fat--tailed kernels
Emeric Bouin, Jimmy Garnier, Christopher Henderson +1
We study the asymptotic behavior of solutions to a monostable integro-differential Fisher-KPP equation , that is where the standard Laplacian is replaced by a convolution term, whe…
Transition fronts and stretching phenomena for a general class of reaction-dispersion equations
Jimmy Garnier, François Hamel, Lionel Roques
We consider a general form of reaction-dispersion equations with non-local dispersal and local reaction. Under some general conditions, we prove the non-existence of transition fro…
Maximal and minimal spreading speeds for reaction diffusion equations in nonperiodic slowly varying media
Jimmy Garnier, Thomas Giletti, Gregoire Nadin
This paper investigates the asymptotic behavior of the solutions of the Fisher-KPP equation in a heterogeneous medium, associated with…