Journal article

Extinction times for a general birth, death and catastrophe process

Abstract:

The birth, death and catastrophe process is an extension of the birth-death process that incorporates the possibility of reductions in population of arbitrary size. We will consider a general form of this model in which the transition rates are allowed to depend on the current population size in an arbitrary manner. The linear case, where the transition rates are proportional to current population size, has been studied extensively. In particular, extinction probabilities, the expected time t...

Publication status:
Published

Access Document

Publisher copy:
10.1239/jap/1101840567

Authors

Journal:
JOURNAL OF APPLIED PROBABILITY
Volume:
41
Issue:
4
Pages:
1211-1218
Publication date:
2004-12-05
DOI:
ISSN:
0021-9002
URN:
Source identifiers:
327268
Local pid:
pubs:327268
Language:
English
Keywords: