Time to Extinction in Branching Processes and its Application in Epidemiology


Autoria(s): Slavtchova-Bojkova, M.
Data(s)

20/07/2016

20/07/2016

2013

Resumo

2010 Mathematics Subject Classification: Primary 60J80; Secondary 92D30.

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.

Identificador

Pliska Studia Mathematica Bulgarica, Vol. 22, No 1, (2013), 169p-194p

0204-9805

http://hdl.handle.net/10525/2526

Idioma(s)

en

Publicador

Institute of Mathematics and Informatics Bulgarian Academy of Sciences

Palavras-Chave #age-dependent branching process #extinction time #epidemiological modeling #vaccination level
Tipo

Article