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Title: Analysis of the influence of parametric noise on the dynamics of two interacting populations
Authors: Abramova, E. P.
Ryazanova, T. V.
Issue Date: 2019
Publisher: Udmurt State University
Citation: Abramova, E. P. Analysis of the influence of parametric noise on the dynamics of two interacting populations / E. P. Abramova, T. V. Ryazanova. — DOI 10.20537/2226-3594-2019-53-01 // Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta. — 2019. — Iss. 53. — P. 3-14.
Abstract: This paper considers the predator-prey population model, which combines both the stabilizing factors of the intraspecific competition of prey and predator (for resources other than the prey), and the predator saturation. The purpose of this study is a comparative parametric analysis of stochastic phenomena which occur under parametric noise of two different types. The stochastic sensitivity of the attractors is studied. Based on the stochastic sensitivity function technique, noise-induced phenomena are described. In the parametric bistable zone, transitions of two types are carried out: equilibrium → equilibrium and cycle → equilibrium. The values of critical intensities for the occurrence of transition phenomena between attractors are obtained. In the parametric monostable zone, such phenomena as cycle deformation and equilibrium shift are demonstrated. © 2019 Udmurt State University. All right reserved.
Access: info:eu-repo/semantics/openAccess
RSCI ID: 38503194
SCOPUS ID: 85079146984
WOS ID: 000487290700001
PURE ID: 10354152
ISSN: 2226-3594
DOI: 10.20537/2226-3594-2019-53-01
metadata.dc.description.sponsorship: Russian Science Foundation, RSF: 16–11–10098
Funding. The research was supported by the Russian Science Foundation (project 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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