Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Vestnik Moskov. Univ. Ser. 1. Mat. Mekh.:
Year:
Volume:
Issue:
Page:
Find




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

Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2023, Number 6, Pages 23–27
DOI: https://doi.org/10.55959/MSU0579-9368-1-64-6-3 (Mi vmumm4575) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Solution of the Kolmogorov–Feller equation arising in the model of biological evolution

O. S. Rozanova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (297 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.55959/MSU0579-9368-1-64-6-3
Abstract: The Kolmogorov–Feller equation for the probability density of a Markov process on a half-axis, which arises in important problems of biology, is considered. This process consists of random jumps distributed according to Laplace's law and a deterministic return to zero. It is shown that the Green's function for such an equation can be found both in the form of a series and in explicit form for some ratios of the parameters. This allows one to find explicit solutions to the Kolmogorov–Feller equation for many initial data.
Key words: probability density, gene expression, Kolmogorov–Feller equation, fundamental solution, exact solution.
Funding agency Grant number
Russian Science Foundation 23-11-00056
Received: 21.05.2023
English version:
Moscow University Mathematics Bulletin, 2023, Volume 78, Issue 6, Pages 276–280
DOI: https://doi.org/10.3103/S0027132223060062
Bibliographic databases:
Document Type: Article
UDC: 517.968.722
Language: Russian
Citation: O. S. Rozanova, “Solution of the Kolmogorov–Feller equation arising in the model of biological evolution”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 6, 23–27; Moscow University Mathematics Bulletin, 78:6 (2023), 276–280
Citation in format AMSBIB
\Bibitem{Roz23}
\by O.~S.~Rozanova
\paper Solution of the Kolmogorov--Feller equation arising in the model of biological evolution
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2023
\issue 6
\pages 23--27
\mathnet{http://mi.mathnet.ru/vmumm4575}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-64-6-3}
\elib{https://elibrary.ru/item.asp?id=58422743}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2023
\vol 78
\issue 6
\pages 276--280
\crossref{https://doi.org/10.3103/S0027132223060062}
Linking options:
  • https://www.mathnet.ru/eng/vmumm4575
  • https://www.mathnet.ru/eng/vmumm/y2023/i6/p23
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:78
    Full-text PDF :45
    References:17
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024