Extinction behavior and recurrence of \(n\)-type Markov branching-immigration processes

DOI10.1186/s13661-023-01810-6OpenAlexW4390501725MaRDI QIDQ6126924

Jun Ping Li, Juan Wang

Publication date: 10 April 2024

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-023-01810-6

zbMATH Keywords

recurrenceextinction probabilitysystem of differential equationsKolmogorov forward equation\(n\)-type Markov branching-immigration process

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Continuous-time Markov processes on discrete state spaces (60J27) Transition functions, generators and resolvents (60J35)

Cites Work

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• Some results on continuous time branching processes with state-dependent immigration
• A conditional limit theorem for a critical branching process with immigration
• Decay parameter and related properties of \(n\)-type branching processes
• The total progeny of a simple branching process with state-dependent immigration
• Comments on the age distribution of Markov processes
• A birth, death and migration process by immigration
• The Asymptotic Probability of the First Degeneration for Branching Processes with Immigration
• A branching process with a state dependent immigration component
• A Limit Theorem for a Branching Process with State-Dependent Immigration

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