Multitype population size-dependent branching processes with dependent offspring
In this paper, the multitype population size-dependent branching process with dependent offspring is introduced and the probability of extinction of such a process is investigated. Sufficient conditions for both almost sure extinction and survival of the process are shown to depend on the Perron-Frobenius eigenvalue of adequate limit matrices. Finally, theoretical results are illustrated with an example.
Volume (Year): 70 (2004)
Issue (Month): 2 (November)
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