126 citations · 247 across the 19 of their papers we have counts for
21 papers
Growing random planar network with oriented branching and fusion
Vincent Bansaye, Gael Raoul, Milica Tomasevic
We consider a growing planar network where a tip grows at constant speed, branches at constant rate and inactivates when it meets a branch already created. We only consider here or…
A model for a population of trees structured by phenological traits
Sirine Boucenna, Vasilis Dakos, Gaël Raoul
In the context of global warming, tree populations rely on two primary mechanisms of adaptation: phenotypic plasticity, which enables individuals to adjust their behavior in respon…
On measure-valued solutions for a structured population model with transfers
Pierre Magal, Gaël Raoul
We consider a transfer operator where two interacting cells carrying non-negative traits transfer a random fraction of their trait to each other. These transfers can lead to popula…
Spreading speed of locally regulated population models in macroscopically heterogeneous environments
Pascal Maillard, Gaël Raoul, Julie Tourniaire
We consider a certain lattice branching random walk with on-site competition and in an environment which is heterogeneous at a macroscopic scale in space and time.…
Exponential convergence to a steady-state for a population genetics model with sexual reproduction and selection
Gaël Raoul
We are interested in the dynamics of a population structured by a phenotypic trait. Individuals reproduce sexually, which is represented by a non-linear integral operator. This ope…
Interactions between different predator-prey states. A method for the derivation of the functional and numerical response
Cecilia Berardo, Stefan Geritz, Mats Gyllenberg +1
In this paper we introduce a formal method for the derivation of a predator's functional response from a system of fast state transitions of the prey or predator on a time scale du…