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Title: Time to Extinction in Branching Processes and its Application in Epidemiology
Authors: Slavtchova-Bojkova, M.
Keywords: age-dependent branching process
extinction time
epidemiological modeling
vaccination level
Issue Date: 2013
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Pliska Studia Mathematica Bulgarica, Vol. 22, No 1, (2013), 169p-194p
Abstract: The contemporary state of the theory of branching processes implies their application to any abstract population where individuals produce a set of new individuals. In this survey paper some recent developments in the study of time to extinction of continuous-time branching processes (BP) motivated by their applications in epidemiological modeling will be presented. The developed methodology and results are concerning Bellman−Harris (age-dependent) BP and more general Sevast'yanov's BP, as well.
Description: 2010 Mathematics Subject Classification: Primary 60J80; Secondary 92D30.
ISSN: 0204-9805
Appears in Collections:2013 Volume 22

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