Without doubt the basic reproductive ratio, R0, is the most widely used quantity in epidemic theory. Standard compartmental models show how R0is related to the average age of infection, vaccination thresholds for eradication and equilibrium solutions. However, many of the basic formulae forR0 break down when we consider transmission of infection to be a stochastic process involving discrete individuals. This paper clarifies why and when these differences arise and predicts when individual-based considerations are likely to be important in modelling infection dynamics.
Beschreibung
ScienceDirect - Journal of Theoretical Biology : Individual-based Perspectives on R0
%0 Journal Article
%1 KEELING200051
%A KEELING, MATT J.
%A GRENFELL, BRYAN T.
%D 2000
%J Journal of Theoretical Biology
%K dl epi imported
%N 1
%P 51 - 61
%R DOI: 10.1006/jtbi.1999.1064
%T Individual-based Perspectives on R0
%U http://www.sciencedirect.com/science/article/B6WMD-45CWX2J-78/2/74f228b17c1d13e503d56532ae7ee78c
%V 203
%X Without doubt the basic reproductive ratio, R0, is the most widely used quantity in epidemic theory. Standard compartmental models show how R0is related to the average age of infection, vaccination thresholds for eradication and equilibrium solutions. However, many of the basic formulae forR0 break down when we consider transmission of infection to be a stochastic process involving discrete individuals. This paper clarifies why and when these differences arise and predicts when individual-based considerations are likely to be important in modelling infection dynamics.
@article{KEELING200051,
abstract = {Without doubt the basic reproductive ratio, R0, is the most widely used quantity in epidemic theory. Standard compartmental models show how R0is related to the average age of infection, vaccination thresholds for eradication and equilibrium solutions. However, many of the basic formulae forR0 break down when we consider transmission of infection to be a stochastic process involving discrete individuals. This paper clarifies why and when these differences arise and predicts when individual-based considerations are likely to be important in modelling infection dynamics.},
added-at = {2009-06-06T01:44:00.000+0200},
author = {KEELING, MATT J. and GRENFELL, BRYAN T.},
biburl = {https://www.bibsonomy.org/bibtex/21a0bcedfb6f9f93b96efecb022976098/ebo},
description = {ScienceDirect - Journal of Theoretical Biology : Individual-based Perspectives on R0},
doi = {DOI: 10.1006/jtbi.1999.1064},
interhash = {d8fcc6ff9725beca090d51750b307537},
intrahash = {1a0bcedfb6f9f93b96efecb022976098},
issn = {0022-5193},
journal = {Journal of Theoretical Biology},
keywords = {dl epi imported},
number = 1,
pages = {51 - 61},
timestamp = {2009-06-06T01:44:00.000+0200},
title = {Individual-based Perspectives on R0},
url = {http://www.sciencedirect.com/science/article/B6WMD-45CWX2J-78/2/74f228b17c1d13e503d56532ae7ee78c},
volume = 203,
year = 2000
}