Perspectives on the basic reproductive ratio

Author:

Heffernan J.M1,Smith R.J2,Wahl L.M1

Affiliation:

1. The Department of Applied Mathematics, The University of Western OntarioLondon, Ontario N6A 5B7, Canada

2. Department of Mathematics and College of Veterinary Medicine, The University of Illinois at Urbana-ChampaignUrbana, IL 61802, USA

Abstract

The basic reproductive ratio, R 0 , 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, R 0 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 R 0 . In this paper we give a brief overview of common methods of formulating R 0 and surrogate threshold parameters from deterministic, non-structured models. We also review common means of estimating R 0 from epidemiological data. Finally, we survey the recent use of R 0 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.

Publisher

The Royal Society

Subject

Biomedical Engineering,Biochemistry,Biomaterials,Bioengineering,Biophysics,Biotechnology

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