Malthusian behaviour of the critical and subcritical age-dependent branching processes with arbitrary state space
Keyword(s):
For the age-dependent branching process with arbitrary state space let M(x, t, A) be the expected number of individuals alive at time t with states in A given an initial individual at x. Subject to various conditions it is shown that M(x, t, A)e–at converges to a non-trivial limit where α is the Malthusian parameter (α = 0 for the critical case, and is negative in the subcritical case). The method of proof also yields rates of convergence.
1978 ◽
Vol 10
(04)
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pp. 744-763
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1971 ◽
Vol 36
(2)
◽
pp. 227-240
1970 ◽
Vol 32
(2)
◽
pp. 435-444
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Keyword(s):
1971 ◽
Vol 36
(1)
◽
pp. 41-59
◽