16 citations · 32 across the 10 of their papers we have counts for
12 papers
Stochastic persistence and extinction for degenerate stochastic Rosenzweig-MacArthur model
Michel Benaïm, Jérémy Colombo, Edouard Strickler
We consider the classical two-dimensional Rosenzweig-MacArthur prey-predator model with a degenerate noise, whereby only the prey variable is subject to small environmental fluctua…
Sufficient condition for dispersal-induced growth on dynamic networks
Michel Benaïm, Claude Lobry, Tewfik Sari +1
We consider a population spreading across a finite number of sites. Individuals can move from one site to the other according to a network (oriented links between the sites) that v…
Dispersal-induced growth or decay in a time-periodic environment. The case of reducible migration matrices
Michel Benaim, Claude Lobry, Tewfik Sari +1
This paper is a follow-up to a previous work where we considered populations with time-varying growth rates living in patches and irreducible migration matrix between the patches.…
When can a population spreading across sink habitats persist ?
Michel Benaim, Claude Lobry, Tewfik Sari +1
We consider populations with time-varying growth rates living in sinks. Each population, when isolated, would become extinct. Dispersal-induced growth (DIG) occurs when the populat…
Uniform Wasserstein convergence of penalized Markov processes
Nicolas Champagnat, Edouard Strickler, Denis Villemonais
For general penalized Markov processes with soft killing, we propose a simple criterion ensuring uniform convergence of conditional distributions in Wasserstein distance to a uniqu…
Untangling the role of temporal and spatial variations in persistance of populations
Michel Benaïm, Claude Lobry, Tewfik Sari +1
We consider a population distributed between two habitats, in each of which it experiences a growth rate that switches periodically between two values, or $ -…
A method to deal with the critical case in stochastic population dynamics
Dang H. Nguyen, Edouard Strickler
In numerous papers, the behaviour of stochastic population models is investigated through the sign of a real quantity which is the growth rate of the population near the extinction…
Persistence in the Moran model with random switching
Arnaud Guillin, Arnaud Personne, Edouard Strickler
The paper is devoted to the study of the asymptotic behaviour of Moran process in random environment, say random selection. In finite population, the Moran process may be degenerat…
Randomly switched vector fields sharing a zero on a common invariant face
Edouard Strickler
We consider a Piecewise Deterministic Markov Process given by random switching between finitely many vector fields vanishing at . It has been shown recently that the behaviour o…
A user-friendly condition for exponential ergodicity in randomly switched environments
Michel Benaïm, Tobias Hurth, Edouard Strickler
We consider random switching between finitely many vector fields leaving positively invariant a compact set. Recently, Li, Liu and Cui showed that if one the vector fields has a gl…
On a predator-prey system with random switching that never converges to its equilibrium
Alexandru Hening, Edouard Strickler
We study the dynamics of a predator-prey system in a random environment. The dynamics evolves according to a deterministic Lotka-Volterra system for an exponential random time afte…
Random Switching between Vector Fields Having a Common Zero
Michel Benaïm, Edouard Strickler
Let be a finite set, a family of vector fields on leaving positively invariant a compact set and having a common zero We consi…