On the role of Allee effect and mass migration in survival and extinction of a species
type: Item
instance of: scholarly article
title: On the role of Allee effect and mass migration in survival and extinction of a species
zbMATH Open document ID: 1271.92028
DOI: 10.1214/11-AAP782
author: Davide Borrello
published in: The Annals of Applied Probability
publication date: 2012-05-13T00:00:00Z
full work available at URL: https://arxiv.org/abs/1003.3922
full work available at URL: https://projecteuclid.org/euclid.aoap/1333372010
review text: The authors use interacting particle systems to investigate survival and extinction of a species with colonies. In each of the four models studied, an individual in a local population can reproduce, die or migrate to neighboring sites. They prove that an increase of the death rate when the local population density is small (the Allee effect) may be critical for survival, and that the migration of large flocks of individuals is a possible solution to avoid extinction when the Allee effect is strong. The authors use attractiveness and comparison with oriented percolation, either to prove the extinction of the species, or to construct nontrivial invariant measures for each model.
reviewed by: Maria C. Mariani
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 82C22
zbMATH DE Number: 6034167
zbMATH Keywords: interacting particle systems
zbMATH Keywords: phase transition
zbMATH Keywords: metapopulation models
zbMATH Keywords: Allee effect
zbMATH Keywords: mass migration
zbMATH Keywords: stochastic order
zbMATH Keywords: comparison with percolation
Wikidata QID: Q114599315
MaRDI profile type: Publication
arXiv ID: 1003.3922
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description: scientific article; zbMATH DE number 6034167