Some Simple Nosocomial Disease Transmission Models

Fred Brauer

doi:10.1007/s11538-015-0061-0

Some Simple Nosocomial Disease Transmission Models

Fred Brauer

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

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

The SARS epidemic of 2002–2003 drew attention to nosocomial disease transmission as many of the disease cases were transmitted through hospital staff and visitors. Various types of model have been proposed to describe this, including metapopulation models. We formulate and analyze a simple compartmental model with heterogeneous mixing to describe nosocomial transmission and determine the reproduction number and final size relation.

Original language	English (US)
Pages (from-to)	460-469
Number of pages	10
Journal	Bulletin of mathematical biology
Volume	77
Issue number	3
DOIs	https://doi.org/10.1007/s11538-015-0061-0
State	Published - Mar 1 2015

Keywords

Epidemic models
Final size relation
Nosocomial transmission
Reproduction number

ASJC Scopus subject areas

Neuroscience(all)
Immunology
Mathematics(all)
Biochemistry, Genetics and Molecular Biology(all)
Environmental Science(all)
Pharmacology
Agricultural and Biological Sciences(all)
Computational Theory and Mathematics

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10.1007/s11538-015-0061-0

Cite this

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title = "Some Simple Nosocomial Disease Transmission Models",

abstract = "The SARS epidemic of 2002–2003 drew attention to nosocomial disease transmission as many of the disease cases were transmitted through hospital staff and visitors. Various types of model have been proposed to describe this, including metapopulation models. We formulate and analyze a simple compartmental model with heterogeneous mixing to describe nosocomial transmission and determine the reproduction number and final size relation.",

keywords = "Epidemic models, Final size relation, Nosocomial transmission, Reproduction number",

author = "Fred Brauer",

note = "Funding Information: This work was supported by a Grant from the Natural Sciences and Engineering Council (Canada). Publisher Copyright: {\textcopyright} 2015, Society for Mathematical Biology.",

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AB - The SARS epidemic of 2002–2003 drew attention to nosocomial disease transmission as many of the disease cases were transmitted through hospital staff and visitors. Various types of model have been proposed to describe this, including metapopulation models. We formulate and analyze a simple compartmental model with heterogeneous mixing to describe nosocomial transmission and determine the reproduction number and final size relation.

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KW - Final size relation

KW - Nosocomial transmission

KW - Reproduction number

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Some Simple Nosocomial Disease Transmission Models

Abstract

Keywords

ASJC Scopus subject areas

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