| Título: | The Virgin Island Model |
| Autores: | Hutzenthaler, Martin; Goethe-University Frankfurt |
| Fecha: | 2009-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
branching populations; local competition; extinction; survival; excursion measure; Virgin Island Model; Crump-Mode-Jagers process; general branching process 60K35; 92D25 |
| Descripción: | 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. |
| Idioma: | No aplica |
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