Existence, recurrence and equilibrium properties of Markov branching processes with instantaneous immigration.

DOI10.1016/S0304-4149(99)00125-8zbMath1045.60088MaRDI QIDQ1877510

Anyue Chen, Renshaw, Eric

Publication date: 7 September 2004

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

resolventexistencerecurrenceannihilationequilibrium distributionMarkov branching processcatastrophe\(q\)-matrixstate-dependent immigration

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

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Cites Work

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• Markov branching processes with instantaneous immigration
• Some results on continuous time branching processes with state-dependent immigration
• Absorbing Markov and branching processes with instantaneous resurrection
• Existence and uniqueness criteria for conservative uni-instantaneous denumerable Markov processes
• Markov branching processes regulated by emigration and large immigration
• Recurrence of Markov 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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