Open Access
2009 The Virgin Island Model
Martin Hutzenthaler
Author Affiliations +
Electron. J. Probab. 14: 1117-1161 (2009). DOI: 10.1214/EJP.v14-646


A continuous mass population model with local competition is constructed where every emigrant colonizes an unpopulated island. The population founded by an emigrant is modeled as excursion from zero of an one-dimensional diffusion. With this excursion measure, we construct a process which we call Virgin Island Model. A necessary and sufficient condition for extinction of the total population is obtained for finite initial total mass.


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Martin Hutzenthaler. "The Virgin Island Model." Electron. J. Probab. 14 1117 - 1161, 2009.


Accepted: 28 May 2009; Published: 2009
First available in Project Euclid: 1 June 2016

zbMATH: 1197.60091
MathSciNet: MR2511279
Digital Object Identifier: 10.1214/EJP.v14-646

Primary: 60K35
Secondary: 92D25

Keywords: branching populations , Crump-Mode-Jagers process , Excursion measure , extinction , general branching process , local competition , survival , Virgin Island Model

Vol.14 • 2009
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