" The mathematical theory of persistence answers questions such as which species, in a
mathematical model of interacting species, will survive over the long term. It applies to …

Understanding under what conditions populations, whether they be plants, animals or viral
particles, persist is an issue of theoretical and practical importance in population biology …

Let $(X_t) _ {t\geq 0} $ be a continuous time Markov process on some metric space $ M, $
leaving invariant a closed subset $ M_0\subset M, $ called the {\em extinction set}. We give …

Providing a basic tool for studying nonlinear problems, Spectral Theory for Random and
Nonautonomous Parabolic Equations and Applications focuses on the principal spectral …

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 …

Species experience both internal feedbacks with endogenous factors such as trait evolution
and external feedbacks with exogenous factors such as weather. These feedbacks can play …

We determine sufficient conditions for uniform and strict persistence in the case of skew-
product semiflows generated by solutions of non-autonomous families of cooperative …

The theory of Lyapunov exponents and methods from ergodic theory have been employed
by several authors in order to study persistence properties of dynamical systems generated …

Several results of uniform persistence above and below a minimal set of an abstract
monotone skew-product semiflow are obtained. When the minimal set has a continuous …

Let ϕ: R+× Ω× M→ Ω× M be a measurable random dynamical systems on the compact
metric space M over [Formula: see text] with time R+. Let MP (ϕ) and EP (ϕ) denote the set …