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Dependence and interaction in branching processes

Författare och institution:
Peter Jagers (Institutionen för matematiska vetenskaper, matematisk statistik, Chalmers/GU); Fima C. Klebaner (-)
Publicerad i:
Springer Proceedings in Mathematics and Statistics, 33 s. 325-333
ISBN:
9783642335488
ISSN:
2194-1009
E-ISSN:
2194-1017
Publikationstyp:
Konferensbidrag, refereegranskat
Publiceringsår:
2013
Språk:
engelska
Fulltextlänk:
Sammanfattning (abstract):
Independence of reproducing individuals can be viewed as the very defining property of branching processes. It is crucial for the most famous results of the theory, the determination of the extinction probability and the dichotomy between extinction and exponential increase. In general processes, stabilisation of the age-distribution under growth follows, and indeed of the over-all population composition, and so do the many fine results of the area, like conditional stabilisation of the size of non-extinct subcritical processes. The last two decades have witnessed repeated attempts at treating branching processes with various kinds of dependence between individuals, ranging from local dependence between close relatives only to population size dependence. Of particular interest are very recent findings on processes that change from being supercritical to subcriticality at some threshold size, the carrying capacity of the habitat. We overview the development with an emphasis on these recent results.
Ämne (baseras på Högskoleverkets indelning av forskningsämnen):
NATURVETENSKAP ->
Matematik ->
Sannolikhetsteori och statistik
Nyckelord:
Age-structure, Carrying capacity, Dependence, General branching processes
Postens nummer:
191926
Posten skapad:
2014-01-09 12:00
Posten ändrad:
2016-08-18 14:00

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