How environmental noise can contract and destroy a persistence zone in population models with Allee effect / Bashkirtseva Irina,Ryashko Lev // THEORETICAL POPULATION BIOLOGY. - 2017. - V. 115, l. . - P. 61-68.

ISSN/EISSN:
0040-5809 / 1096-0325
Type:
Article
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. (C) 2017 Elsevier Inc. All rights reserved.
Author keywords:
Allee effect; Persistence; Extinction; Ricker model; Random disturbances; Stochastic sensitivity CATASTROPHIC SHIFTS; TRANSIENT CHAOS; EXTINCTION; STOCHASTICITY; ECOSYSTEMS; DYNAMICS; SYSTEMS; PREY
DOI:
10.1016/j.tpb.2017.04.001
Web of Science ID:
ISI:000403033000006
Соавторы в МНС:
Другие поля
Поле Значение
Month JUN
Publisher ACADEMIC PRESS INC ELSEVIER SCIENCE
Address 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
Language English
EISSN 1096-0325
Keywords-Plus CATASTROPHIC SHIFTS; TRANSIENT CHAOS; EXTINCTION; STOCHASTICITY; ECOSYSTEMS; DYNAMICS; SYSTEMS; PREY
Research-Areas Environmental Sciences \& Ecology; Evolutionary Biology; Genetics \& Heredity
Web-of-Science-Categories Ecology; Evolutionary Biology; Genetics \& Heredity
Author-Email irina.bashkirtseva@urfu.ru lev.ryashko@urfu.ru
Funding-Acknowledgement Russian Science Foundation {[}N 16-11-10098]
Funding-Text The authors thank Peter Chesson for the useful discussion. The work was supported by Russian Science Foundation (N 16-11-10098).
Number-of-Cited-References 42
Usage-Count-Last-180-days 3
Usage-Count-Since-2013 3
Journal-ISO Theor. Popul. Biol.
Doc-Delivery-Number EX2CL