A branching process with disasters
Keyword(s):
The Mean
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A population process is considered where particles reproduce according to an age-dependent branching process, and are subjected to disasters which occur at the epochs of an independent renewal process. Each particle alive at the time of a disaster, survives it with probability p and the survival of any particle is assumed independent of the survival of any other particle. The asymptotic behavior of the mean of the process is determined and as a consequence, necessary and sufficient conditions are given for extinction.
1975 ◽
Vol 12
(01)
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pp. 47-59
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2007 ◽
Vol 74
(3)
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pp. 965-980
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1997 ◽
Vol 34
(03)
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pp. 575-582
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1982 ◽
Vol 19
(04)
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pp. 851-857
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2013 ◽
Vol 37
(8)
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pp. 1219-1231
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2012 ◽
Vol 44
(1)
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pp. 226-259
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