The convergence of a super-critical age-dependent branching process allowing immigration at the epochs of a renewal process

DOI10.1016/0025-5564(72)90005-3zbMath0235.60081OpenAlexW2043282100MaRDI QIDQ2552002

Yanyan Li

Publication date: 1972

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(72)90005-3

Mathematics Subject Classification ID

Markov renewal processes, semi-Markov processes (60K15) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Renewal theory (60K05)

Related Items (9)

Branching processes. I ⋮ Supercritical Sevastyanov Branching Processes with Non-homogeneous Poisson Immigration ⋮ Branching stochastic processes with immigration in analysis of renewing cell populations ⋮ Stochastic modeling of stress erythropoiesis using a two-type age-dependent branching process with immigration ⋮ Sevastyanov branching processes with non-homogeneous Poisson immigration ⋮ Asymptotic Behavior of Cell Populations Described by Two-Type Reducible Age-Dependent Branching Processes With Non-Homogeneous Immigration ⋮ Supercritical age-dependent branching processes with immigration ⋮ Subcritical Sevastyanov branching processes with nonhomogeneous Poisson immigration ⋮ A test of homogeneity for age-dependent branching processes with immigration

Cites Work

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• A note on the supercritical Galton-Watson process with immigraiton
• The convergence of a generalized multitype age-dependent branching process with Poisson immigration
• Functional equations and the Galton-Watson process

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