14 citations · 14 across the 7 of their papers we have counts for
11 papers
Evolution of a trait distributed over a large fragmented population: Propagation of chaos meets adaptive dynamics
Amaury Lambert, Hélène Leman, Hélène Morlon +1
We consider a metapopulation made up of demes, each containing individuals bearing a heritable quantitative trait. Demes are connected by migration and undergo independent…
Site frequency spectrum of a rescued population under rare resistant mutations
Céline Bonnet, Hélène Leman
The aim of this article is to study the impact of resistance acquisition on the distribution of neutral mutations in a cell population under therapeutic pressure. The cell populati…
Continuous limits of large plant-pollinator random networks and some applications
Sylvain Billiard, Hélène Leman, Thomas Rey +1
We study a stochastic individual-based model of interacting plant and pollinator species through a bipartite graph: each species is a node of the graph, an edge representing intera…
Extinction time of logistic branching processes in a Brownian environment
Hélène Leman, Juan Carlos Pardo
In this paper, we study the extinction time of logistic branching processes which are perturbed by an independent random environment driven by a Brownian motion. Our arguments use…
Extinction and coming down from infinity of CB-processes with competition in a Lévy environment
Hélène Leman, Juan Carlos Pardo
In this note, we are interested on the event of extinction and the property of coming down from infinity of continuous state branching (or CB for short) processes with competition…
A stochastic model for reproductive isolation under asymmetrical mating preferences
Helene Leman
More and more evidence shows that mating preference is a mechanism that may lead to a reproductive isolation event. In this paper, a haploid population living on two patches linked…
Looking for the right mate in diploid species: how dominance relationships affect population differentiation in sexual trait?
Charline Smadi, Helene Leman, Violaine Llaurens
Divergence between populations for a given trait can be driven by natural or sexual selection, interacting with migration behaviour. Mating preference for different phenotypes can…
A stochastic model for speciation by mating preferences
Camille Coron, Manon Costa, Hélène Leman +1
Mechanisms leading to speciation are a major focus in evolutionary biology. In this paper, we present and study a stochastic model of population where individuals, with type a or A…
Convergence of an infinite dimensional stochastic process to a spatially structured trait substitution sequence
Helene Leman
We consider an individual-based spatially structured population for Darwinian evolution in an asexual population. The individuals move randomly on a bounded continuous space accord…
Monte Carlo methods for linear and non-linear Poisson-Boltzmann equation
Mireille Bossy, Nicolas Champagnat, Helene Leman +3
The electrostatic potential in the neighborhood of a biomolecule can be computed thanks to the non-linear divergence-form elliptic Poisson-Boltzmann PDE. Dedicated Monte-Carlo meth…
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…