169 citations · 770 across the 29 of their papers we have counts for
19 papers · 1 filter
Stability and Fluctuations in Complex Ecological Systems
Eric Forgoston, Sarah Day, Peter C. de Ruiter +24
From 08-12 August, 2022, 32 individuals participated in a workshop, Stability and Fluctuations in Complex Ecological Systems, at the Lorentz Center, located in Leiden, The Netherla…
Permanence via invasion graphs: Incorporating community assembly into Modern Coexistence Theory
Josef Hofbauer, Sebastian J. Schreiber
To understand the mechanisms underlying species coexistence, ecologists often study invasion growth rates of theoretical and data-driven models. These growth rates correspond to av…
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…
When do factors promoting balanced selection also promote population persistence? A demographic perspective on Gillespie's SAS-CFF model
Sebastian J. Schreiber
Classical stochastic demography predicts that environmental stochasticity reduces population growth rates and, thereby, can increase extinction risk. In contrast, the SAS-CFF model…
Persistence and extinction for stochastic ecological models with internal and external variables
Michel Benaïm, Sebastian J. Schreiber
The dynamics of species' densities depend both on internal and external variables. Internal variables include frequencies of individuals exhibiting different phenotypes or living i…