A new epidemic model with indirect transmission

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We consider an epidemic model in which all disease transmission is through shedding of virus by infectives and acquisition by susceptibles, rather than by direct contact. This leads to an susceptible-infectious-virus-removed (SIVR) model for which we can determine the basic reproduction number and the final size relation. We extend the model to an age of infection model with virus shedding a function of the age of infection.

Original languageEnglish (US)
Pages (from-to)285-293
Number of pages9
JournalJournal of Biological Dynamics
Volume11
DOIs
StatePublished - Aug 11 2017
Externally publishedYes

Fingerprint

virus
viral shedding
disease transmission
direct contact
infection
viruses
basic reproduction number

Keywords

  • Epidemic models
  • indirect transmission
  • virus shedding

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecology

Cite this

A new epidemic model with indirect transmission. / Brauer, Fred.

In: Journal of Biological Dynamics, Vol. 11, 11.08.2017, p. 285-293.

Research output: Contribution to journalArticle

@article{2d6a39efdfe94771b57571753b8265fd,
title = "A new epidemic model with indirect transmission",
abstract = "We consider an epidemic model in which all disease transmission is through shedding of virus by infectives and acquisition by susceptibles, rather than by direct contact. This leads to an susceptible-infectious-virus-removed (SIVR) model for which we can determine the basic reproduction number and the final size relation. We extend the model to an age of infection model with virus shedding a function of the age of infection.",
keywords = "Epidemic models, indirect transmission, virus shedding",
author = "Fred Brauer",
year = "2017",
month = "8",
day = "11",
doi = "10.1080/17513758.2016.1207813",
language = "English (US)",
volume = "11",
pages = "285--293",
journal = "Journal of Biological Dynamics",
issn = "1751-3758",
publisher = "Taylor and Francis Ltd.",

}

TY - JOUR

T1 - A new epidemic model with indirect transmission

AU - Brauer, Fred

PY - 2017/8/11

Y1 - 2017/8/11

N2 - We consider an epidemic model in which all disease transmission is through shedding of virus by infectives and acquisition by susceptibles, rather than by direct contact. This leads to an susceptible-infectious-virus-removed (SIVR) model for which we can determine the basic reproduction number and the final size relation. We extend the model to an age of infection model with virus shedding a function of the age of infection.

AB - We consider an epidemic model in which all disease transmission is through shedding of virus by infectives and acquisition by susceptibles, rather than by direct contact. This leads to an susceptible-infectious-virus-removed (SIVR) model for which we can determine the basic reproduction number and the final size relation. We extend the model to an age of infection model with virus shedding a function of the age of infection.

KW - Epidemic models

KW - indirect transmission

KW - virus shedding

UR - http://www.scopus.com/inward/record.url?scp=84978630864&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84978630864&partnerID=8YFLogxK

U2 - 10.1080/17513758.2016.1207813

DO - 10.1080/17513758.2016.1207813

M3 - Article

C2 - 27430120

AN - SCOPUS:84978630864

VL - 11

SP - 285

EP - 293

JO - Journal of Biological Dynamics

JF - Journal of Biological Dynamics

SN - 1751-3758

ER -