169 citations · 770 across the 29 of their papers we have counts for
4 papers · 1 filter
The rule in the stochastic Holt-Lawton model of apparent competition
Sebastian J. Schreiber
In , Holt and Lawton introduced a stochastic model of two host species parasitized by a common parasitoid species. We introduce and analyze a generalization of these stochast…
Extinction and quasi-stationarity for discrete-time, endemic SIS and SIR models
Sebastian J. Schreiber, Shuo Huang, Jifa Jiang +1
Stochastic discrete-time SIS and SIR models of endemic diseases are introduced and analyzed. For the deterministic, mean-field model, the basic reproductive number determines…
Multiple attractors and long transients in spatially structured populations with an Allee effect
Irina Vortkamp, Sebastian J. Schreiber, Alan Hastings +1
We present a discrete-time model of a spatially structured population and explore the effects of coupling when the local dynamics contain a strong Allee effect and overcompensation…
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…