Upper Estimates of the Mean Extinction Time of a Population with a Constant Carrying Capacity

Author: KLOKOV, SERGEY

Source: Mathematical Population Studies, Volume 16, Number 3, July 2009 , pp. 221-230(10)

Publisher: Routledge, part of the Taylor & Francis Group

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Abstract:

In a population of individuals with an identical type and nonoverlapping generations, the number of offspring has a Poisson distribution depending on the carrying capacity K and the total population size. Upper estimates of the mean extinction time Eτ are established and essentially have the form Eτ ≤CecK with some constants C > 0 and c ≍ 0.707.

Keywords: carrying capacity; extinction; Poisson distribution

Document Type: Research article

DOI: http://dx.doi.org/10.1080/08898480903035071

Affiliations: 1: Omsk Branch of Sobolev Institute of Mathematics, Russia

Publication date: 2009-07-01