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math.PR2014
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…
math.PR2009★ 11 cited
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…