29 citations · 67 across the 5 of their papers we have counts for
5 papers
Robust permanence for ecological maps
Gregory Roth, Paul L. Salceanu, Sebastian J. Schreiber
We consider ecological difference equations of the form where is a vector of densities corresponding to the subpopulations of species (e.g.…
Pushed beyond the brink: Allee effects, environmental stochasticity, and extinction
Gregory Roth, Sebastian Schreiber
A demographic Allee effect occurs when individual fitness, at low densities, increases with population density. Coupled with environmental fluctuations in demographic rates, Allee…
Persistence in fluctuating environments for interacting structured populations
Gregory Roth, Sebastian J. Schreiber
Individuals within any species exhibit differences in size, developmental state, or spatial location. These differences coupled with environmental fluctuations in demographic rates…
Ergodic Properties of weak Asymptotic Pseudotrajectories for Set-valued Dynamical Systems
Mathieu Faure, Gregory Roth
A successful method to describe the asymptotic behavior of various deterministic and stochastic processes such as asymptotically autonomous differential equations or stochastic app…
Stochastic approximations of set-valued dynamical systems: Convergence with positive probability to an attractor
Mathieu Faure, Gregory Roth
A succesful method to describe the asymptotic behavior of a discrete time stochastic process governed by some recursive formula is to relate it to the limit sets of a well chosen m…