A branching model by population size dependence
Keyword(s):
A continuous-time Markov branching process is modified to allow some dependence of offspring generating function on population size. The model involves a given population size M, below which the offspring generating function is supercritical and above which it is subcritical. Immigration is allowed when the population size is 0. The process has a stationary measure, and an expression for its generating function is found. A limit theorem for the stationary measure as M tends to ∞ is then obtained.
2009 ◽
Vol 46
(01)
◽
pp. 296-307
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Keyword(s):
2009 ◽
Vol 46
(1)
◽
pp. 296-307
◽
Keyword(s):
1973 ◽
Vol 5
(01)
◽
pp. 37-54
◽
1973 ◽
Vol 10
(02)
◽
pp. 447-450
◽
2007 ◽
Vol 44
(03)
◽
pp. 753-769
◽