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The Virgin Island Model


 
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1. Title Title of document The Virgin Island Model
 
2. Creator Author's name, affiliation, country Martin Hutzenthaler; Goethe-University Frankfurt
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) branching populations; local competition; extinction; survival; excursion measure; Virgin Island Model; Crump-Mode-Jagers process; general branching process
 
3. Subject Subject classification 60K35; 92D25
 
4. Description 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.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) DFG (FOR 498); EPSRC (Grant no GR/T19537/01)
 
7. Date (YYYY-MM-DD) 2009-05-28
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/646
 
10. Identifier Digital Object Identifier 10.1214/EJP.v14-646
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 14
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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