How environmental noise can contract and destroy a persistence zone in population models with Allee effect

Irina Bashkirtseva and Lev Ryashko

Theoretical Population Biology, 2017, vol. 115, issue C, 61-68

Abstract: A problem of the analysis of the noise-induced extinction in population models with Allee effect is considered. To clarify mechanisms of the extinction, we suggest a new technique combining an analysis of the geometry of attractors and their stochastic sensitivity. For the conceptual one-dimensional discrete Ricker-type model, on the base of the bifurcation analysis, deterministic persistence zones are constructed in the space of initial states and biological parameters. It is shown that the random environmental noise can contract, and even destroy these persistence zones. A parametric analysis of the probabilistic mechanism of the noise-induced extinction in regular and chaotic zones is carried out with the help of the unified approach based on the sensitivity functions technique and confidence domains method.

Keywords: Allee effect; Persistence; Extinction; Ricker model; Random disturbances; Stochastic sensitivity (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:thpobi:v:115:y:2017:i:c:p:61-68

DOI: 10.1016/j.tpb.2017.04.001

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