On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations.

J.A.P. Heesterbeek

doi:10.1007/BF00178324

On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations.

J.A.P. Heesterbeek

FAH theoretische epidemiologie

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

Abstract

The expected number of secondary cases produced by a typical infected individual during its entire period of infectiousness in a completely susceptible population is mathematically defined as the dominant eigenvalue of a positive linear operator. It is shown that in certain special cases one can easily compute or estimate this eigenvalue. Several examples involving various structuring variables like age, sexual disposition and activity are presented.

Original language	English
Pages (from-to)	365-382
Journal	Journal of Mathematical Biology
Volume	28
DOIs	https://doi.org/10.1007/BF00178324
Publication status	Published - 1990

Keywords

Epidemic models
Heterogeneous populations
Basic reproductive number
Invasion

Access to Document

10.1007/BF00178324

Cite this

@article{8bc9f843ac04415c8f57ce995339b1e3,

title = "On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations.",

abstract = "The expected number of secondary cases produced by a typical infected individual during its entire period of infectiousness in a completely susceptible population is mathematically defined as the dominant eigenvalue of a positive linear operator. It is shown that in certain special cases one can easily compute or estimate this eigenvalue. Several examples involving various structuring variables like age, sexual disposition and activity are presented.",

keywords = "Epidemic models, Heterogeneous populations, Basic reproductive number, Invasion",

author = "J.A.P. Heesterbeek",

year = "1990",

doi = "10.1007/BF00178324",

language = "English",

volume = "28",

pages = "365--382",

journal = "Journal of Mathematical Biology",

issn = "0303-6812",

publisher = "Springer",

}

TY - JOUR

T1 - On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations.

AU - Heesterbeek, J.A.P.

PY - 1990

Y1 - 1990

N2 - The expected number of secondary cases produced by a typical infected individual during its entire period of infectiousness in a completely susceptible population is mathematically defined as the dominant eigenvalue of a positive linear operator. It is shown that in certain special cases one can easily compute or estimate this eigenvalue. Several examples involving various structuring variables like age, sexual disposition and activity are presented.

AB - The expected number of secondary cases produced by a typical infected individual during its entire period of infectiousness in a completely susceptible population is mathematically defined as the dominant eigenvalue of a positive linear operator. It is shown that in certain special cases one can easily compute or estimate this eigenvalue. Several examples involving various structuring variables like age, sexual disposition and activity are presented.

KW - Epidemic models

KW - Heterogeneous populations

KW - Basic reproductive number

KW - Invasion

U2 - 10.1007/BF00178324

DO - 10.1007/BF00178324

M3 - Article

SN - 0303-6812

VL - 28

SP - 365

EP - 382

JO - Journal of Mathematical Biology

JF - Journal of Mathematical Biology

ER -

On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations.

Abstract

Keywords

Access to Document

Fingerprint

Cite this