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Quantifying BSE control by calculating the basic reproduction ratio R 0 for the infection among cattle
Authors:Koeijer  Aline de  Heesterbeek   Hans  Schreuder   Bram  Oberthür  Radulf  Wilesmith  John  Roermund  Herman van  Jong   Mart de
Affiliation:(1) Institute for Animal Science and Health, ID-Lelystad, P.O. Box 65, 6200 AB Lelystad, The Netherlands;(2) Labor Dr. Oberthür GmbH, Bruchweg 10, 49844 Bawinkel, Germany;(3) CUL-VLA, Dept. of Epidemiology, New Haw, Addlestone, Surrey, KT15 3NB, UK
Abstract:The safety of using meat and bone meal (MBM) in mammal feed was studied in view of BSE, by quantifying the risk of BSE transmission through different infection routes. This risk is embodied in the basic reproduction ratio R 0 of the infection, i.e. the average number of new infections induced by one initial infection. Only when R 0 is below 1, will the disease die out with certainty and the population will become free from BSE. Unfortunately this is a slow process due to the slow progression of the disease. We calculate R 0 explicitly from basic ingredients taking several different transmission routes into account. Several of the basic ingredients are functions of age or of infection-age. We also calculate the exponential growth rate r in terms of the same basic ingredients. Next we quantify the ingredients from available data and compute the effects on R 0 of various scenariorsquos for controlling BSE, with examples for the UK and the Netherlands.This revised version was published online in November 2003. A correction was made to formula 10 of this paper, indicies were previously printed in an incorrect order and an extraneous element has been removed.
Keywords:Basic reproduction ratio  BSE  Control
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