Stochastic demographic models: Age of a population

DOI10.1016/0304-4149(90)90007-FzbMath0722.92013MaRDI QIDQ757285

Anne-Marie Borde-Boussion

Publication date: 1990

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

zbMATH Keywords

weighted Sobolev spacetightnessmartingale problemsbirth-and-death processesdeveloping age distributionempirical measure of the agesHilbert space techniqueslaw of large numbers theoremlimiting measure valued processmeasure- valued processessequence of population modelsSobolev dualsstochastic demographic models

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Strong limit theorems (60F15) Population dynamics (general) (92D25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (6)

Population-size-dependent and age-dependent branching processes. ⋮ Law of large numbers for a general system of stochastic differential equations with global interaction ⋮ Convergence of the age structure of general schemes of population processes ⋮ Dependence and Interaction in Branching Processes ⋮ Limit theorems for multi-type general branching processes with population dependence ⋮ On the establishment, persistence, and inevitable extinction of populations

Cites Work

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• Semimartingales: A course on stochastic processes
• Non-linear age-dependent population dynamics
• Weak convergence of sequences of semimartingales with applications to multitype branching processes
• A law of large numbers for the scaled age distribution of linear birth-and-death processes

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