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Population-size-dependent, age-structured branching processes linger around their carrying capacity

Peter Jagers (Institutionen för matematiska vetenskaper, matematisk statistik) ; Fima C. Klebaner
Journal of Applied Probability (0021-9002). Vol. 48A (2011), p. 249-260.
[Artikel, refereegranskad vetenskaplig]

Dependence of individual reproduction upon the size of the whole population is studied in a general branching process context. The particular feature under scrutiny is that of reproduction changing from supercritical in small populations to subcritical in large ones. The transition occurs when population size passes a critical threshold, known in ecology as the carrying capacity. We show that populations either die out directly, never coming close to the carrying capacity, or else they grow quickly towards the latter, subsequently lingering around it for a time that is expected to be exponentially long in terms of a carrying capacity tending to infinity.

Nyckelord: age structure, branching process, carrying capacity



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Denna post skapades 2011-11-17. Senast ändrad 2014-12-09.
CPL Pubid: 148639

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematisk statistik (2005-2016)

Ämnesområden

Livsvetenskaper
Matematisk statistik
Biologiska vetenskaper

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