An introduction to networks in epidemic modeling

Fred Brauer

doi:10.1007/978-3-540-78911-6_4

An introduction to networks in epidemic modeling

Fred Brauer

Mathematical Computational Modeling Sciences Center, Simon A. Levin (MCMSC)

Research output: Chapter in Book/Report/Conference proceeding › Chapter

22 Scopus citations

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 language	English (US)
Title of host publication	Mathematical Epidemiology
Publisher	Springer Verlag
Pages	133-146
Number of pages	14
ISBN (Print)	9783540789109
DOIs	https://doi.org/10.1007/978-3-540-78911-6_4
State	Published - 2008

Publication series

Name	Lecture Notes in Mathematics
Volume	1945
ISSN (Print)	0075-8434

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1007/978-3-540-78911-6_4

Cite this

@inbook{e8621ed286104c54a2f9527c761b7a16,

title = "An introduction to networks in epidemic modeling",

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.",

author = "Fred Brauer",

year = "2008",

doi = "10.1007/978-3-540-78911-6_4",

language = "English (US)",

isbn = "9783540789109",

series = "Lecture Notes in Mathematics",

publisher = "Springer Verlag",

pages = "133--146",

booktitle = "Mathematical Epidemiology",

}

TY - CHAP

T1 - An introduction to networks in epidemic modeling

AU - Brauer, Fred

PY - 2008

Y1 - 2008

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=42249102404&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=42249102404&partnerID=8YFLogxK

U2 - 10.1007/978-3-540-78911-6_4

DO - 10.1007/978-3-540-78911-6_4

M3 - Chapter

AN - SCOPUS:42249102404

SN - 9783540789109

T3 - Lecture Notes in Mathematics

SP - 133

EP - 146

BT - Mathematical Epidemiology

PB - Springer Verlag

ER -

An introduction to networks in epidemic modeling

Abstract

Publication series

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this