28 citations · 51 across the 13 of their papers we have counts for
14 papers
Subdiffusive fractional limit of a jump-renewal equation
Hugues Berry, Pierre Gabriel, Thomas Lepoutre +1
In this paper, we consider an age-structured jump model that arises as a description of continuous time random walks with infinite mean waiting time between jumps. We prove that un…
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…
Ergodicity of the Fisher infinitesimal model with quadratic selection
Vincent Calvez, Thomas Lepoutre, David Poyato
We study the convergence towards a unique equilibrium distribution of the solutions to a time-discrete model with non-overlapping generations arising in quantitative genetics. The…
Improved duality estimates: time discrete case and applications to a class of cross-diffusion systems
Thomas Lepoutre
We adapt the improved duality estimates for bounded coefficients derived by Canizo et al. to the framework of cross diffusion. Since the estimates can not be directly applied we ne…
Existence of recombination-selection equilibria for sexual populations
Thibault Bourgeron, Vincent Calvez, Jimmy Garnier +1
We study a birth and death model for the adapatation of a sexual population to an environment. The population is structured by a phenotypical trait, and, possibly, an age variable.…
Entropic structure and duality for multiple species cross-diffusion systems
Thomas Lepoutre, Ayman Moussa
This paper deals with the existence of global weak solutions for a wide class of (multiple species) cross-diffusions systems. The existence is based on two different ingredients: a…