3 papers
math.PR2025
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…
math.DS2024
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.…
math.DS2023
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…