School Seminars and Colloquia

Populations Lingering around their Carrying Capacity

Stochastic Processes and Financial Mathematics

by Professor Peter Jagers

Institution: Chalmers University of Technology, Gothenburg, Sweden
Date: Wed 23rd February 2011
Time: 2:15 PM
Location: Room 213, Richard Berry Building, The University of Melbourne

Abstract: (in collaboration with Fima Klebaner, Monash) Independence between individuals leads to the classical branching process dichotomy: extinction or exponential growth. Alas, relaxation of the independence requirement does not yield any chance of persistence forever. Still, populations which are subcritical above a size threshold, the carrying capacity of the habitat, and supercritical below it, can be expected to linger around the carrying capacity for an exponentially long time, in terms of the carrying capacity.

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