Perspectives on the basic reproductive ratio

  • J.M Heffernan
    The Department of Applied Mathematics, The University of Western OntarioLondon, Ontario N6A 5B7, Canada
  • R.J Smith
    Department of Mathematics and College of Veterinary Medicine, The University of Illinois at Urbana-ChampaignUrbana, IL 61802, USA
  • L.M Wahl
    The Department of Applied Mathematics, The University of Western OntarioLondon, Ontario N6A 5B7, Canada

書誌事項

公開日
2005-06-07
権利情報
  • https://royalsociety.org/journals/ethics-policies/data-sharing-mining/
DOI
  • 10.1098/rsif.2005.0042
公開者
The Royal Society

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説明

<jats:p>The basic reproductive ratio,<jats:italic>R</jats:italic><jats:sub>0</jats:sub>, is defined as the expected number of secondary infections arising from a single individual during his or her entire infectious period, in a population of susceptibles. This concept is fundamental to the study of epidemiology and within-host pathogen dynamics. Most importantly,<jats:italic>R</jats:italic><jats:sub>0</jats:sub>often serves as a threshold parameter that predicts whether an infection will spread. Related parameters which share this threshold behaviour, however, may or may not give the true value of<jats:italic>R</jats:italic><jats:sub>0</jats:sub>. In this paper we give a brief overview of common methods of formulating<jats:italic>R</jats:italic><jats:sub>0</jats:sub>and surrogate threshold parameters from deterministic, non-structured models. We also review common means of estimating<jats:italic>R</jats:italic><jats:sub>0</jats:sub>from epidemiological data. Finally, we survey the recent use of<jats:italic>R</jats:italic><jats:sub>0</jats:sub>in assessing emerging diseases, such as severe acute respiratory syndrome and avian influenza, a number of recent livestock diseases, and vector-borne diseases malaria, dengue and West Nile virus.</jats:p>

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