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- Frans Jacobs, Sebastian J. Schreiber
- SIAM J. Applied Dynamical Systems
- 2006

Let F : M â†’ M be a continuous dissipative map of a separable metric space M . Consider a finite collection A of closed F -forward invariant sets that is closed under intersection and that contains Mâ€¦ (More)

- James O. Lloyd-Smith, Sebastian J. Schreiber, Paul Kopp, Wayne M. Getz
- Nature
- 2005

Population-level analyses often use average quantities to describe heterogeneous systems, particularly when variation does not arise from identifiable groups. A prominent example, central to ourâ€¦ (More)

- Daniel I Bolnick, Priyanga Amarasekare, +7 authors David A. Vasseur
- Trends in ecology & evolution
- 2011

Natural populations consist of phenotypically diverse individuals that exhibit variation in their demographic parameters and intra- and inter-specific interactions. Recent experimental work indicatesâ€¦ (More)

- Sebastian J. Schreiber, Volker H W Rudolf
- Ecology letters
- 2008

Ecosystems are often indirectly connected through consumers with complex life cycles (CLC), in which different life stages inhabit different ecosystems. Using a structured consumer resource modelâ€¦ (More)

- Sebastian J. Schreiber
- Theoretical population biology
- 2003

Discrete time single species models with overcompensating density dependence and an Allee effect due to predator satiation and mating limitation are investigated. The models exhibit four behaviors:â€¦ (More)

It is known that various deterministic and stochastic processes such as asymptotically autonomous differential equations or stochastic approximation processes can be analyzed by relating them to anâ€¦ (More)

- Steven N. Evans, Peter L. Ralph, Sebastian J. Schreiber, Arnab Sen
- Journal of mathematical biology
- 2013

Classical ecological theory predicts that environmental stochasticity increases extinction risk by reducing the average per-capita growth rate of populations. For sedentary populations in a spatiallyâ€¦ (More)

Let x* i=xi fi (x) (i=1, ..., n) be a C r vector field that generates a dissipative flow , on the positive cone of R. , is called permanent if the boundary of the positive cone is repelling. , isâ€¦ (More)

We analyze quasi-stationary distributions {Î¼}Îµ>0 of a family of Markov chains {X}Îµ>0 that are random perturbations of a bounded, continuous map F : M â†’M , where M is a closed subset of R. Consistentâ€¦ (More)

- Sebastian J. Schreiber, Reinhard BÃ¼rger, Daniel I Bolnick
- Ecology
- 2011

Natural populations are heterogeneous mixtures of individuals differing in physiology, morphology, and behavior. Despite the ubiquity of phenotypic variation within natural populations, its effectsâ€¦ (More)