Death and Birth-Death and Immigration Processes with Catastrophes View Full Text


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Article Info

DATE

2007-03

AUTHORS

J. Gani, R. J. Swift

ABSTRACT

This paper explores an alternative approach starting from first principles, to the derivation of probability generating functions (pgfs) of death, birth-death and immigration processes in continuous time, subject to random catastrophes. A more elementary version of the general method proposed by Economou and Fakinos (2003) is presented. We examine the simple death process, the survival of susceptibles in a carrier-borne epidemic, the birth-death and immigration process, the unbiased random walk and the barber shop queue, all of them subject to random catastrophes occurring as a Poisson process. The stationary pgfs and the expected values of the processes are derived. More... »

PAGES

39-48

Identifiers

URI

http://scigraph.springernature.com/pub.10.1080/15598608.2007.10411823

DOI

http://dx.doi.org/10.1080/15598608.2007.10411823

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1032366556


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