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Teoriya Veroyatnostei i ee Primeneniya, 1998, Volume 43, Issue 4, Pages 773–780
DOI: https://doi.org/10.4213/tvp2177 (Mi tvp2177) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Short Communications

Final probabilities for a branching process with interaction of particles and an epidemic process

A. V. Kalinkin

N. E. Bauman Moscow State Technical University
Full-text PDF (1071 kB) Citations (12)
DOI: https://doi.org/10.4213/tvp2177
Abstract: The exponential generating function method suggested in [A. V. Kalinkin, Extinction probability of a branching process with interaction of particles, Theory Probab. Appl., 27 (1982), pp. 201–205] and [A. V. Kalinkin, Final probabilities for a branching random process with interaction of particles, Dokl. Akad. Nauk SSSR, 269 (1983), pp. 1309–1312 (in Russian)] to solve the stationary first (backward) Kolmogorov system of differential equations is applied to the Weiss epidemic model and its generalizations. Integral representations for the generating functions of the final probabilities are obtained.
Keywords: epidemic process, branching process with interaction of particles, hyperbolic equation for double generating function, Riemann method, exact solutions.
Received: 25.11.1997
English version:
Theory of Probability and its Applications, 1999, Volume 43, Issue 4, Pages 633–640
DOI: https://doi.org/10.1137/S0040585X97977203
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Kalinkin, “Final probabilities for a branching process with interaction of particles and an epidemic process”, Teor. Veroyatnost. i Primenen., 43:4 (1998), 773–780; Theory Probab. Appl., 43:4 (1999), 633–640
Citation in format AMSBIB
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\by A.~V.~Kalinkin
\paper Final probabilities for a~branching process with interaction of~particles and an~epidemic process
\jour Teor. Veroyatnost. i Primenen.
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\issue 4
\pages 773--780
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\transl
\jour Theory Probab. Appl.
\yr 1999
\vol 43
\issue 4
\pages 633--640
\crossref{https://doi.org/10.1137/S0040585X97977203}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000085137600008}
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  • https://www.mathnet.ru/eng/tvp/v43/i4/p773
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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