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Extinction dynamics of a discrete population in an oasis

type de publication      article dans une revue internationale avec comité de lecture
date de publication 2015
auteur(s) Berti Stefano; Cencini Massimo; Vergni Davide; Vulpiani Angelo
journal (abréviation) Physical Review E (Physical Review E)
volume (numéro) 92 (1)
numéro de papier 012722
  
résumé Understanding the conditions ensuring the persistence of a population is an issue of primary importance in population biology. The first theoretical approach to the problem dates back to the 1950s with the Kierstead, Slobodkin, and Skellam (KiSS) model, namely a continuous reaction-diffusion equation for a population growing on a patch of finite size L surrounded by a deadly environment with infinite mortality, i.e., an oasis in a desert. The main outcome of the model is that only patches above a critical size allow for population persistence. Here we introduce an individual-based analog of the KiSS model to investigate the effects of discreteness and demographic stochasticity. In particular, we study the average time to extinction both above and below the critical patch size of the continuous model and investigate the quasistationary distribution of the number of individuals for patch sizes above the critical threshold.
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