Pushed beyond the brink: Allee effects, environmental stochasticity, and extinction

DOI10.1080/17513758.2014.962631zbMath1448.92246arXiv1405.1686OpenAlexW2143249037WikidataQ34562187 ScholiaQ34562187MaRDI QIDQ3304560

Gregory Roth, Sebastian J. Schreiber

Publication date: 3 August 2020

Published in: Journal of Biological Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.1686

zbMATH Keywords

persistenceextinctionpopulation dynamicsdemographic Allee effectstochastic difference equationspositive and negative density dependence

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Ecology (92D40) Stochastic difference equations (39A50)

Related Items (10)

Stochastic sensitivity analysis of noise-induced extinction in the Ricker model with delay and allee effect ⋮ When do factors promoting genetic diversity also promote population persistence? A demographic perspective on Gillespie's SAS-CFF model ⋮ Semi-global persistence and stability for a class of forced discrete-time population models ⋮ Stochastic sensitivity of cycles in periodic dynamical systems ⋮ Random Dynamical Systems Generated by Two Allee Maps ⋮ How environmental noise can contract and destroy a persistence zone in population models with Allee effect ⋮ Stochastic control stabilizing unstable or chaotic maps ⋮ A mathematical formalism for natural selection with arbitrary spatial and genetic structure ⋮ Persistence and extinction for stochastic ecological models with internal and external variables ⋮ Impacts of demographic and environmental stochasticity on population dynamics with cooperative effects

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