Nonlinear Markov branching processes with immigration and resurrection

Autor: Zhang Lina, Li Zhenfang, Geng Shifeng
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Boundary Value Problems, Vol 2024, Iss 1, Pp 1-18 (2024)
Druh dokumentu: article
ISSN: 1687-2770
DOI: 10.1186/s13661-024-01951-2
Popis: Abstract The nonlinear Markov branching process with immigration and resurrection (NMBPIR) is considered in this paper. We give the criteria for regularity and uniqueness of NMBPIR, and then investigate the extinction probability and the mean extinction time. Furthermore, we give a condition for the Feller minimal NMBPIR to be recurrence, and provide an example to illustrate our results.
Databáze: Directory of Open Access Journals
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