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pro vyhledávání: '"Schreiber, Sebastian J."'
We examine to what extent the tempo and mode of environmental fluctuations matter for the growth of structured populations. The models are switching, linear ordinary differential equations $x'(t)=A(\sigma(\omega t))x(t)$ where $x(t)=(x_1(t),\dots,x_d
Externí odkaz:
http://arxiv.org/abs/2408.11179
Autor:
Forgoston, Eric, Day, Sarah, de Ruiter, Peter C., Doelman, Arjen, Hartemink, Nienke, Hastings, Alan, Hemerik, Lia, Hening, Alexandru, Hofbauer, Josef, Kefi, Sonia, Kessler, David A., Klauschies, Toni, Kuehn, Christian, Li, Xiaoxiao, Moore, John C., Morrien, Elly, Neutel, Anje-Margriet, Pantel, Jelena, Schreiber, Sebastian J., Shaw, Leah B., Shnerb, Nadav, Siero, Eric, Storch, Laura S., Thorne, Michael A. S., van de Leemput, Ingrid, van Velzen, Ellen, Weinans, Els
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 Netherlands. An interdisciplinary dialogue between ecologists, mathematicians,
Externí odkaz:
http://arxiv.org/abs/2306.07447
To understand the mechanisms underlying species coexistence, ecologists often study invasion growth rates of theoretical and data-driven models. These growth rates correspond to average per-capita growth rates of one species with respect to an ergodi
Externí odkaz:
http://arxiv.org/abs/2204.03773
Autor:
Schreiber, Sebastian J.
In $1993$, 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 stochastic difference equations with any number of host species, stochasticall
Externí odkaz:
http://arxiv.org/abs/2007.01953
Stochastic discrete-time SIS and SIR models of endemic diseases are introduced and analyzed. For the deterministic, mean-field model, the basic reproductive number $R_0$ determines their global dynamics. If $R_0\le 1$, then the frequency of infected
Externí odkaz:
http://arxiv.org/abs/2005.08312
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. While an isolated population can exhibit only bistability and essent
Externí odkaz:
http://arxiv.org/abs/2004.11219
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 verify Palis' conjecture: the long-term behavior is determined by a f
Externí odkaz:
http://arxiv.org/abs/2004.00535
Autor:
Schreiber, Sebastian J.
Classical stochastic demography predicts that environmental stochasticity reduces population growth rates and, thereby, can increase extinction risk. In contrast, the SAS-CFF model demonstrates that environmental stochasticity can promote genetic div
Externí odkaz:
http://arxiv.org/abs/1902.03507
Publikováno v:
Evolution, 2021 Nov 01. 75(11), 2842-2856.
Externí odkaz:
https://www.jstor.org/stable/48645925
The dynamics of species' densities depend both on internal and external variables. Internal variables include frequencies of individuals exhibiting different phenotypes or living in different spatial locations. External variables include abiotic fact
Externí odkaz:
http://arxiv.org/abs/1808.07888