Limit theorems for an agedependent branching process with immigration

DOI10.1016/0025-5564(72)90076-4zbMath0248.92004OpenAlexW1986252020MaRDI QIDQ2556287

Anthony G. Pakes

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)90076-4

Mathematics Subject Classification ID

Population dynamics (general) (92D25)

Related Items (14)

Homogeneous branching processes with non-homogeneous immigration ⋮ Branching processes. I ⋮ Supercritical Sevastyanov Branching Processes with Non-homogeneous Poisson Immigration ⋮ 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 ⋮ Limit theorems for the integrals of some branching processes ⋮ Some convergence rate results for the Bellman-Harris process with immigration ⋮ Limit theorems for the integral of a population process with immigration ⋮ LIMIT THEOREMS FOR SUBCRITICAL AGE-DEPENDENT BRANCHING PROCESSES WITH TWO TYPES OF IMMIGRATION ⋮ Subcritical Sevastyanov branching processes with nonhomogeneous Poisson immigration ⋮ Compounding Bellman-Harris processes allowing immigration ⋮ The stochastic dance of early HIV infection ⋮ A test of homogeneity for age-dependent branching processes with immigration

Cites Work

• A general age-dependent branching process. I
• A general-age-dependent branching process. II
• A limit theorem for the integral of a critical age-dependent branching process
• On asymptotic properties of sub-critical branching processes
• Critical age-dependent branching processes: Single and multitype
• Some limit theorems for the total progeny of a branching process
• A Problem Concerning Generalized Age-Dependent Branching Processes with Immigration
• Further results on the critical Galton-Watson process with immigration
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