On the establishment, persistence, and inevitable extinction of populations

DOI10.1007/s00285-015-0903-2zbMath1334.60179arXiv1410.2973OpenAlexW1779112040WikidataQ46716439 ScholiaQ46716439MaRDI QIDQ259225

Fima C. Klebaner, Peter Jagers, Kais Hamza

Publication date: 11 March 2016

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.2973

zbMATH Keywords

branching processespersistenceextinctionpopulation dynamicscarrying capacitystable age distribution

Mathematics Subject Classification ID

Applications of branching processes (60J85) Population dynamics (general) (92D25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (11)

Self-regulation in infinite populations with fission-death dynamics ⋮ A hierarchical kinetic theory of birth, death and fission in age-structured interacting populations ⋮ From Size to Age and Type Structure Dependent Branching: A First Step to Sexual Reproduction in General Population Processes ⋮ An approximation of populations on a habitat with large carrying capacity ⋮ Stationary frequencies and mixing times for neutral drift processes with spatial structure ⋮ A path integral approach to age dependent branching processes ⋮ Public goods games in populations with fluctuating size ⋮ On the lifetime of a size-dependent branching process ⋮ Parameter estimation in branching processes with almost sure extinction ⋮ Limit theorems for multi-type general branching processes with population dependence ⋮ A fluid approach to total-progeny-dependent birth-and-death processes

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