RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Izv. IMI UdGU:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Izv. IMI UdGU, 2019, Volume 53, Pages 3–14 (Mi iimi366)  

Analysis of the influence of parametric noise on the dynamics of two interacting populations

E. P. Abramova, T. V. Ryazanova

Ural Federal University, pr. Lenina, 51, Yekaterinburg, 620000, Russia

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 $ \rightarrow $ equilibrium and cycle $ \rightarrow$ 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.

Keywords: population model, parametric noise, noise-induced phenomena.

Funding Agency Grant Number
Russian Science Foundation 16-11-10098
The research was supported by the Russian Science Foundation (project no. 16-11-10098).


DOI: https://doi.org/10.20537/2226-3594-2019-53-01

Full text: PDF file (964 kB)
References: PDF file   HTML file

UDC: 519.21
MSC: 39A50
Received: 04.04.2019

Citation: E. P. Abramova, T. V. Ryazanova, “Analysis of the influence of parametric noise on the dynamics of two interacting populations”, Izv. IMI UdGU, 53 (2019), 3–14

Citation in format AMSBIB
\Bibitem{AbrRya19}
\by E.~P.~Abramova, T.~V.~Ryazanova
\paper Analysis of the influence of parametric noise on the dynamics of two interacting populations
\jour Izv. IMI UdGU
\yr 2019
\vol 53
\pages 3--14
\mathnet{http://mi.mathnet.ru/iimi366}
\crossref{https://doi.org/10.20537/2226-3594-2019-53-01}
\elib{http://elibrary.ru/item.asp?id=38503194}


Linking options:
  • http://mi.mathnet.ru/eng/iimi366
  • http://mi.mathnet.ru/eng/iimi/v53/p3

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta
    Number of views:
    This page:37
    Full text:9
    References:2

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019