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 Electronic Journal of Probability > Vol. 14 (2009) > Paper 39 open journal systems 


The Virgin Island Model

Martin Hutzenthaler, Goethe-University Frankfurt


Abstract
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.


Full text: PDF

Pages: 1117-1161

Published on: May 28, 2009


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Electronic Journal of Probability. ISSN: 1083-6489