A discrete Markov metapopulation model for persistence and extinction of species

DOI10.1016/J.JTBI.2016.06.010zbMath1343.92447OpenAlexW2416847302WikidataQ46532516 ScholiaQ46532516MaRDI QIDQ307649

Lewi Stone, Elad Shtilerman, Colin J. Thompson

Publication date: 5 September 2016

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

Full work available at URL: https://doi.org/10.1016/j.jtbi.2016.06.010

zbMATH Keywords

persistencemetapopulation dynamicsgenerating function approachmean time to extinction

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20)

Cites Work

• Extinction dynamics in mainland-island metapopulations: an \(N\)-patch stochastic model
• Some mathematical models from population genetics. École d'Été de Probabilités de Saint-Flour XXXIX-2009
• A general theory of the sampling process with applications to the ``veil line
• Spatially structured metapopulation models: Global and local assessment of metapopulation capacity.
• Sampling species abundance distributions: resolving the veil-line debate
• Extinction Times for Birth-Death Processes: Exact Results, Continuum Asymptotics, and the Failure of the Fokker--Planck Approximation
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