A fluid approach to total-progeny-dependent birth-and-death processes

DOI10.1080/15326349.2022.2043166zbMath1506.60093arXiv2112.01117OpenAlexW3215751472MaRDI QIDQ5878091

Sophie Hautphenne, Minyuan Li

Publication date: 17 February 2023

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.01117

zbMATH Keywords

birth-and-death processfluid approximationextinction timetotal progeny

Mathematics Subject Classification ID

Applications of branching processes (60J85) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Cites Work

• Unnamed Item
• On the establishment, persistence, and inevitable extinction of populations
• Populations in environments with a soft carrying capacity are eventually extinct
• Resource dependent branching processes and the envelope of societies
• Population-size-dependent, age-structured branching processes linger around their carrying capacity
• Stabilities and instabilities in population dynamics
• Galton--Watson Processes and Their Role as Building Blocks for Branching Processes
• Solutions of ordinary differential equations as limits of pure jump markov processes
• Limit theorems for sequences of jump Markov processes approximating ordinary differential processes

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