The Virgin Island Model

Details The Virgin Island Model The Virgin Island Model

2008-02-21

arxiv.org/abs/0802.3145v3

Electron. J. Probab 14 (2009), no 39, 1117-1161

Mathematics

Probability

40 pages, major revision

Scientific paper

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. Furthermore, a necessary and sufficient condition for extinction of the total population is obtained for finite initial total mass.

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