Bellman-Harris branching processes with a special type of state-dependent immigration

Authors
Mitov, K. V. Yanev, N. M.
Citation
V. Mitov, K. et M. Yanev, N., Bellman-Harris branching processes with a special type of state-dependent immigration, Advances in applied probability , 21(2), 1989, pp. 270-283
Journal title
Advances in applied probability → ACNP
ISSN journal
00018678
Volume
21
Issue
2
Year of publication
1989
Pages
270 - 283
Database
ACNP
SICI code
Abstract
We investigate critical Bellman-Harris processes which allow immigration of new particles whenever the population size is 0. Under some special conditions on the immigration component the asymptotic behaviour of the probability of extinction is obtained and limit theorems are also proved.