Populations in environments with a soft carrying capacity are eventually extinct

DOI10.1007/s00285-020-01527-5zbMath1451.92257arXiv2004.14332OpenAlexW3081509679WikidataQ98570942 ScholiaQ98570942MaRDI QIDQ2204863

Sergei Zuyev, Peter Jagers

Publication date: 16 October 2020

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

Full work available at URL: https://arxiv.org/abs/2004.14332

zbMATH Keywords

martingalesextinctionstochastic stabilitypopulation dynamics

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Population dynamics (general) (92D25) Stochastic stability in control theory (93E15) Ecology (92D40)

Related Items

Amendment to: populations in environments with a soft carrying capacity are eventually extinct ⋮ Parameter estimation in branching processes with almost sure extinction ⋮ A fluid approach to total-progeny-dependent birth-and-death processes

Cites Work

• Convergence of the age structure of general schemes of population processes
• Non-homogeneous Random Walks
• Population-size-dependent, age-structured branching processes linger around their carrying capacity
• Branching Processes