122 citations · 748 across the 40 of their papers we have counts for
44 papers
Individual based SIS models on (not so) dense large random networks
Jean-François Delmas, Paolo Frasca, Federica Garin +3
Starting from a stochastic individual-based description of an SIS epidemic spreading on a random network, we study the dynamics when the size of the network tends to infinity.…
Complex systems in Ecology: a guided tour with large Lotka-Volterra models and random matrices
Imane Akjouj, Matthieu Barbier, Maxime Clenet +5
Ecosystems represent archetypal complex dynamical systems, often modelled by coupled differential equations of the form where…
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…
Time reversal of spinal processes for linear and non-linear branching processes near stationarity
Benoît Henry, Sylvie Méléard, Viet Chi Tran
We consider a stochastic individual-based population model with competition, trait-structure affecting reproduction and survival, and changing environment. The changes of traits ar…
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…
Evolving genealogies for branching populations under selection and competition
Airam Blancas, Stephan Gufler, Sandra Kliem +2
For a continuous state branching process with two types of individuals which are subject to selection and density dependent competition, we characterize the joint evolution of popu…