Loading [MathJax]/jax/output/SVG/config.js
Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 267, Pages 46–55 (Mi tm2604)  
This article is cited in 14 scientific papers (total in 14 papers)

Existence and Uniqueness of a Stationary Distribution of a Biological Community

A. A. Davydovab, V. I. Danchenkoa, M. Yu. Zvyagina

a Vladimir State University, Vladimir, Russia
b International Institute for Applied Systems Analysis, Laxenburg, Austria
Full-text PDF (178 kB) Citations (14)
References:
PDF
HTML
Abstract: For an integral equation describing stationary distributions of a biological community, we point out conditions on its parameters under which this equation has a unique solution that satisfies necessary requirements for such a distribution.
Received in January 2009
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 267, Pages 40–49
DOI: https://doi.org/10.1134/S0081543809040038
Bibliographic databases:
UDC: 517.958
Language: Russian
Citation: A. A. Davydov, V. I. Danchenko, M. Yu. Zvyagin, “Existence and Uniqueness of a Stationary Distribution of a Biological Community”, Singularities and applications, Collected papers, Trudy Mat. Inst. Steklova, 267, MAIK Nauka/Interperiodica, Moscow, 2009, 46–55; Proc. Steklov Inst. Math., 267 (2009), 40–49
Citation in format AMSBIB
\Bibitem{DavDanZvy09}
\by A.~A.~Davydov, V.~I.~Danchenko, M.~Yu.~Zvyagin
\paper Existence and Uniqueness of a~Stationary Distribution of a~Biological Community
\inbook Singularities and applications
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2009
\vol 267
\pages 46--55
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm2604}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2723938}
\zmath{https://zbmath.org/?q=an:1231.92055}
\elib{https://elibrary.ru/item.asp?id=12989361}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2009
\vol 267
\pages 40--49
\crossref{https://doi.org/10.1134/S0081543809040038}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000274252700003}
\elib{https://elibrary.ru/item.asp?id=15320419}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-76049118265}
Linking options:
  • https://www.mathnet.ru/eng/tm2604
  • https://www.mathnet.ru/eng/tm/v267/p46
    • This publication is cited in the following 14 articles:
    1. A. Kh. Khachatryan, Kh. A. Khachatryan, A. S. Petrosyan, “Voprosy suschestvovaniya, otsutstviya i edinstvennosti resheniya odnogo klassa nelineinykh integralnykh uravnenii na vsei pryamoi s operatorom tipa Gammershteina — Ctiltesa”, Tr. IMM UrO RAN, 30, no. 1, 2024, 249–269  mathnet  crossref  elib
    2. A. A. Davydov, Kh. A. Khachatryan, “Stationary States in Population Dynamics with Migration and Distributed Offspring”, J Math Sci, 2024  crossref
    3. A. A. Davydov, Kh. A. Khachatryan, “Statsionarnye sostoyaniya v dinamike populyatsii s migratsiei i raspredelennym potomstvom”, SMFN, 69, no. 4, Rossiiskii universitet druzhby narodov, M., 2023, 578–587  mathnet  crossref
    4. Kh.A. Khachatryan, H.S. Petrosyan, A. R. Hakobyan, “On solvability of one class of integral equations on whole line with monotonic and convex nonlinearity”, J Math Sci, 271:5 (2023), 610  crossref
    5. M. V. Nikolaev, U. Dieckmann, A. A. Nikitin, “Application of special function spaces to the study of nonlinear integral equations arising in equilibrium spatial logistic dynamics”, Dokl. Math., 104:1 (2021), 188–192  mathnet  crossref  crossref  zmath  elib
    6. S. R. Gadzhiev, E. G. Galkin, A. A. Nikitin, “Analytical and Modeling Approaches to Studying the Integral Equation Appearing after a Power-3 Closure”, MoscowUniv.Comput.Math.Cybern., 45:2 (2021), 53  crossref
    7. E. G. Galkin, A. A. Nikitin, “Stochastic Geometry for Population-Dynamic Modeling: A Dieckmann Model with Immovable Individuals”, MoscowUniv.Comput.Math.Cybern., 44:2 (2020), 61  crossref
    8. Nikolaev M.V., Nikitin A.A., “Application of the Leray-Schauder Principle to the Analysis of a Nonlinear Integral Equation”, Differ. Equ., 55:9 (2019), 1164–1173  crossref  mathscinet  isi
    9. Nikolaev M.V., Nikitin A.A., “On the Existence and Uniqueness of a Solution of a Nonlinear Integral Equation”, Dokl. Math., 100:2 (2019), 485–487  crossref  mathscinet  isi
    10. Ya. Yu. Larina, L. I. Rodina, “Statistical characteristics of continuous functions and statistically weakly invariant sets of controllable system”, Russian Math. (Iz. VUZ), 61:2 (2017), 28–35  mathnet  crossref  isi
    11. Kalistratova A.V., Nikitin A.A., “Study of Dieckmann?s equation with integral kernels having variable kurtosis coefficient”, Dokl. Math., 94:2 (2016), 574–577  crossref  mathscinet  zmath  isi  elib  scopus
    12. Bodrov A.G., Nikitin A.A., “Qualitative and Numerical Analysis of an Integral Equation Arising in a Model of Stationary Communities”, Dokl. Math., 89:2 (2014), 210–213  crossref  mathscinet  zmath  isi  elib  scopus
    13. Ya. Yu. Larina, L. I. Rodina, “Statisticheskie kharakteristiki upravlyaemykh sistem, voznikayuschie v razlichnykh modelyakh estestvoznaniya”, Model. i analiz inform. sistem, 20:5 (2013), 62–77  mathnet
    14. V. I. Danchenko, R. V. Rubay, “On integral equations of stationary distributions for biological systems”, Journal of Mathematical Sciences, 171:1 (2010), 34–45  mathnet  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:616
    Full-text PDF :111
    References:131
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025