Persistence, extinction, and critical patch number for island populations
type: Item
instance of: scholarly article
title: Persistence, extinction, and critical patch number for island populations
zbMATH Open document ID: 0603.92019
DOI: 10.1007/BF00275506
author: Linda J. S. Allen
published in: Journal of Mathematical Biology
publication date: 1987-01-01T00:00:00Z
review text: Sufficient conditions are derived for persistence and extinction of a population inhabiting several islands. Discrete reaction-diffusion population models are analyzed which describe growth and diffusion of a population on a group of islands or a patch environment. A critical patch number is defined as the number of islands below which the population goes extinct on that group of islands. It is shown that population persistence on one island leads to population persistence for the entire archipelago. Both single-species and multi-species models are discussed.
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 39A12
zbMATH DE Number: 3974804
zbMATH Keywords: island biogeography
zbMATH Keywords: extinction
zbMATH Keywords: Discrete reaction-diffusion population models
zbMATH Keywords: patch environment
zbMATH Keywords: critical patch number
zbMATH Keywords: population persistence
zbMATH Keywords: single-species and multi-species models
Wikidata QID: Q68995318
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00275506
OpenAlex ID: W2089526685
description: scientific article; zbMATH DE number 3974804