169 citations · 770 across the 29 of their papers we have counts for
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A classification of the dynamics of three-dimensional stochastic ecological systems
Alexandru Hening, Dang H. Nguyen, Sebastian J. Schreiber
The classification of the long-term behavior of dynamical systems is a fundamental problem in mathematics. For both deterministic and stochastic dynamics specific classes of models…
Convergence of generalized urn models to non-equilibrium attractors
Mathieu Faure, Sebastian Schreiber
Generalized Polya urn models have been used to model the establishment dynamics of a small founding population consisting of k different genotypes or strategies. As population size…
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…
Protected polymorphisms and evolutionary stability of patch-selection strategies in stochastic environments
Steven N. Evans, Alexandru Hening, Sebastian J. Schreiber
We consider a population living in a patchy environment that varies stochastically in space and time. The population is composed of two morphs (that is, individuals of the same spe…
Stochastic population growth in spatially heterogeneous environments
Steven N. Evans, Peter L. Ralph, Sebastian J. Schreiber +1
Classical ecological theory predicts that environmental stochasticity increases extinction risk by reducing the average per-capita growth rate of populations. To understand the int…
Quasi-stationary distributions for randomly perturbed dynamical systems
Mathieu Faure, Sebastian J. Schreiber
We analyze quasi-stationary distributions of a family of Markov chains that are random perturbations of…