A law of large numbers approximation for Markov population processes with countably many types

DOI10.1007/s00440-011-0359-2zbMath1395.60083arXiv1001.0044OpenAlexW2006073795MaRDI QIDQ714957

Malwina J. Luczak, Andrew David Barbour

Publication date: 12 October 2012

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.0044

zbMATH Keywords

epidemic modelscountably many typesMarkov population processesmetapopulation processesquantitative law of large numbers

Mathematics Subject Classification ID

Epidemiology (92D30) Strong limit theorems (60F15) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20)

Related Items (6)

The limiting behaviour of a stochastic patch occupancy model ⋮ Superinfection and the hypnozoite reservoir for \textit{Plasmodium vivax}: a general framework ⋮ Individual and patch behaviour in structured metapopulation models ⋮ A stochastic SIR network epidemic model with preventive dropping of edges ⋮ Stochastic representations for the wave equation on graphs and their scaling limits ⋮ Extinction time for the weaker of two competing SIS epidemics

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