Epidemic Percolation Networks, Epidemic Outcomes, and Interventions

Epidemic percolation networks (EPNs) are directed random networks that can be used to analyze stochastic “Susceptible-Infectious-Removed” (SIR) and “Susceptible-Exposed-Infectious-Removed” (SEIR) epidemic models, unifying and generalizing previous uses of networks and branching processes to analyze...

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Bibliographic Details
Published in:Interdisciplinary Perspectives on Infectious Diseases 2011, Vol.2011 (2011), p.129-141
Main Authors: Kenah, Eben, Miller, Joel C.
Format: Article
Language:English
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Summary:Epidemic percolation networks (EPNs) are directed random networks that can be used to analyze stochastic “Susceptible-Infectious-Removed” (SIR) and “Susceptible-Exposed-Infectious-Removed” (SEIR) epidemic models, unifying and generalizing previous uses of networks and branching processes to analyze mass-action and network-based S(E)IR models. This paper explains the fundamental concepts underlying the definition and use of EPNs, using them to build intuition about the final outcomes of epidemics. We then show how EPNs provide a novel and useful perspective on the design of vaccination strategies.
ISSN:1687-708X
1687-7098
DOI:10.1155/2011/543520