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Matematicheskie Zametki, 1968, Volume 3, Issue 2, Pages 179–185 (Mi mzm6665)  

This article is cited in 2 scientific papers (total in 2 papers)

Threshold theorem for an epidemic model

A. V. Nagaev, A. V. Startsev

Romanovskii Mathematical Institute, Academy of Sciences of Uzbek SSR
Full-text PDF (389 kB) Citations (2)
Abstract: The article discusses a probability model of the spread of an epidemic in which the elimination of sick persons (through death, immunity, or isolation) is taken into account. The authors find a limit distribution for the magnitude of the epidemic, $\nu$, on the assumption that $n\to\infty$, where n is the original number of susceptible persons, and $\frac{\mu}{\lambda n}\to 1$, where $\lambda$ and $\mu$ are the coefficient of infection and the coefficient of elimination, respectively.
Received: 15.07.1967
English version:
Mathematical Notes, 1968, Volume 3, Issue 2, Pages 115–119
DOI: https://doi.org/10.1007/BF01094331
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: A. V. Nagaev, A. V. Startsev, “Threshold theorem for an epidemic model”, Mat. Zametki, 3:2 (1968), 179–185; Math. Notes, 3:2 (1968), 115–119
Citation in format AMSBIB
\Bibitem{NagSta68}
\by A.~V.~Nagaev, A.~V.~Startsev
\paper Threshold theorem for an~epidemic model
\jour Mat. Zametki
\yr 1968
\vol 3
\issue 2
\pages 179--185
\mathnet{http://mi.mathnet.ru/mzm6665}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=229324}
\zmath{https://zbmath.org/?q=an:0199.54901|0197.16408}
\transl
\jour Math. Notes
\yr 1968
\vol 3
\issue 2
\pages 115--119
\crossref{https://doi.org/10.1007/BF01094331}
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  • https://www.mathnet.ru/eng/mzm/v3/i2/p179
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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