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February 2004 Survival and extinction in a locally regulated population
A. M. Etheridge
Ann. Appl. Probab. 14(1): 188-214 (February 2004). DOI: 10.1214/aoap/1075828051

Abstract

Bolker and Pacala recently introduced a model of an evolving population in which an individual's fecundity is reduced in proportion to the "local population density." We consider two versions of this model and prove complementary extinction/persistence results, one for each version. Roughly, if individuals in the population disperse sufficiently quickly relative to the range of the interaction induced by the density dependent regulation, then the population has positive chance of survival, whereas, if they do not, then the population will die out.

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A. M. Etheridge. "Survival and extinction in a locally regulated population." Ann. Appl. Probab. 14 (1) 188 - 214, February 2004. https://doi.org/10.1214/aoap/1075828051

Information

Published: February 2004
First available in Project Euclid: 3 February 2004

zbMATH: 1043.92030
MathSciNet: MR2023020
Digital Object Identifier: 10.1214/aoap/1075828051

Subjects:
Primary: 60J70 , 60J80 , 60J85 , 60K35

Keywords: extinction , Interacting superprocess , Persistence , regulated population

Rights: Copyright © 2004 Institute of Mathematical Statistics

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Vol.14 • No. 1 • February 2004
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