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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.PR2025
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…