A useful relationship between epidemiology and queueing theory: The distribution of the number of infectives at the moment of the first detection

DOI10.1016/j.mbs.2009.02.001zbMath1187.92075OpenAlexW2150273449WikidataQ51851173 ScholiaQ51851173MaRDI QIDQ1025223

Pieter Trapman, Martinus Christoffel Jozef Bootsma

Publication date: 18 June 2009

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2009.02.001

zbMATH Keywords

branching processesqueueing theorydetectioninfectious diseasesepidemic

Mathematics Subject Classification ID

Epidemiology (92D30) Queueing theory (aspects of probability theory) (60K25) Applications of branching processes (60J85) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Related Items (8)

The size of a Markovian SIR epidemic given only removal data ⋮ Stochastic descriptors in an SIR epidemic model for heterogeneous individuals in small networks ⋮ SIR-type epidemic models as block-structured Markov processes ⋮ An exact and implementable computation of the final outbreak size distribution under Erlang distributed infectious period ⋮ Differential equation models for sharp threshold dynamics ⋮ On branching models with alarm triggerings ⋮ Splitting Trees Stopped when the First Clock Rings and Vervaat's Transformation ⋮ On the outcome of epidemics with detections

Cites Work

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• Some Time-Dependent Properties of Symmetric M/G/1 Queues
• Stochastic Processes Occurring in the Theory of Queues and their Analysis by the Method of the Imbedded Markov Chain

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