Demographic stochasticity and extinction in populations with Allee effect

Vicenç Méndez, Michael Assaf, Axel Masó-Puigdellosas, Daniel Campos, Werner Horsthemke

Research output: Contribution to journalArticleResearch

5 Citations (Scopus)

Abstract

© 2019 American Physical Society. We study simple stochastic scenarios, based on birth-and-death Markovian processes, that describe populations with the Allee effect, to account for the role of demographic stochasticity. In the mean-field deterministic limit we recover well-known deterministic evolution equations widely employed in population ecology. The mean time to extinction is in general obtained by the Wentzel-Kramers-Brillouin (WKB) approximation for populations with the strong and weak Allee effects. An exact solution for the mean time to extinction can be found via a recursive equation for special cases of the stochastic dynamics. We study the conditions for the validity of the WKB solution and analyze the boundary between the weak and strong Allee effect by comparing exact solutions with numerical simulations.
Original languageEnglish
Article number022101
Pages (from-to)022101
Number of pages11
JournalPhysical Review E
Volume99
Issue number2-1
DOIs
Publication statusPublished - 1 Feb 2019

Keywords

  • BEHAVIOR
  • MODELS
  • SIMULATION
  • TIME

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