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Title: Analysis of stochastic phenomena in Ricker-type population model with delay
Authors: Bashkirtseva, I.
Ryashko, L.
Tsvetkov, I.
Issue Date: 2017
Publisher: American Institute of Physics Inc.
Citation: Bashkirtseva I. Analysis of stochastic phenomena in Ricker-type population model with delay / I. Bashkirtseva, L. Ryashko, I. Tsvetkov // AIP Conference Proceedings. — 2017. — Vol. 1895. — 50003.
Abstract: A phenomenon of the noiseinduced extinction is studied on the base of the conceptual Rickertype model with the delay and Allee effect. This nonlinear discrete population model exhibits the persistence with the different form of attractors, both regular and chaotic. For this model, the persistence zones are defined by points of the crisis bifurcations. The phenomenon of the noiseinduced extinction is investigated with the help of direct numerical simulations and by the semianalytical new method based on the stochastic sensitivity functions. In the stochastic analysis, a geometrical approach taking into account a mutual arrangement of the confidence domains and basins of attraction is used. © 2017 Author(s).
Access: info:eu-repo/semantics/openAccess
Conference name: 9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017
Conference date: 21 June 2017 through 26 June 2017
SCOPUS ID: 85031708030
WOS ID: 000426902700021
PURE ID: 2211692
ISSN: 0094-243X
DOI: 10.1063/1.5007375
metadata.dc.description.sponsorship: The work was supported by Russian Science Foundation (grant No 16-11-10098).
RSCF project card: 16-11-10098
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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