An introduction to networks in epidemic modeling

Research output: Chapter in Book/Report/Conference proceedingChapter

12 Citations (Scopus)

Abstract

We use a stochastic branching process to describe the beginning of a disease outbreak. Unlike compartmental models, if the basic reproduction number is greater than one there may be a minor outbreak or a major epidemic with a probability depending on the nature of the contact network. We use a network approach to determine the distribution of outbreak and epidemic sizes.

Original languageEnglish (US)
Title of host publicationMathematical Epidemiology
PublisherSpringer Verlag
Pages133-146
Number of pages14
ISBN (Print)9783540789109
DOIs
StatePublished - Jan 1 2008
Externally publishedYes

Publication series

NameLecture Notes in Mathematics
Volume1945
ISSN (Print)0075-8434

Fingerprint

Compartmental Model
Basic Reproduction number
Branching process
Modeling
Stochastic Processes
Minor
Contact

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Brauer, F. (2008). An introduction to networks in epidemic modeling. In Mathematical Epidemiology (pp. 133-146). (Lecture Notes in Mathematics; Vol. 1945). Springer Verlag. https://doi.org/10.1007/978-3-540-78911-6_4

An introduction to networks in epidemic modeling. / Brauer, Fred.

Mathematical Epidemiology. Springer Verlag, 2008. p. 133-146 (Lecture Notes in Mathematics; Vol. 1945).

Research output: Chapter in Book/Report/Conference proceedingChapter

Brauer, F 2008, An introduction to networks in epidemic modeling. in Mathematical Epidemiology. Lecture Notes in Mathematics, vol. 1945, Springer Verlag, pp. 133-146. https://doi.org/10.1007/978-3-540-78911-6_4
Brauer F. An introduction to networks in epidemic modeling. In Mathematical Epidemiology. Springer Verlag. 2008. p. 133-146. (Lecture Notes in Mathematics). https://doi.org/10.1007/978-3-540-78911-6_4
Brauer, Fred. / An introduction to networks in epidemic modeling. Mathematical Epidemiology. Springer Verlag, 2008. pp. 133-146 (Lecture Notes in Mathematics).
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