3 papers
math.AP2022
Concentration in Lotka-Volterra parabolic equations: an asymptotic-preserving scheme
Vincent Calvez, Hélène Hivert, Havva Yoldaş
In this paper, we introduce and analyze an asymptotic-preserving scheme for Lotka-Volterra parabolic equations. It is a class of nonlinear and nonlocal stiff equations, which descr…
math.AP2019
A note on hypocoercivity for kinetic equations with heavy-tailed equilibrium
Nathalie Ayi, Maxime Herda, Hélène Hivert +1
In this paper we are interested in the large time behavior of linear kinetic equations with heavy-tailed local equilibria. Our main contribution concerns the kinetic Lévy-Fokker-Pl…
q-bio.PE2019
Horizontal gene transfer: numerical comparison between stochastic and deterministic approaches
Vincent Calvez, Susely Figueroa Iglesias, Hélène Hivert +3
Horizontal gene Transfer (HT) denotes the transmission of genetic material between two living organisms, while the vertical transmission refers to a DNA transfer from parents to th…