Quantifying BSE control by calculating the basic reproduction ratio R0 for the infection among cattle

被引:29
作者
de Koeijer, A
Heesterbeek, H
Schreuder, B
Oberthür, R
Wilesmith, J
van Roermund, H
de Jong, M
机构
[1] ID Lelystad, Inst Anim Sci & Hlth, NL-6200 AB Lelystad, Netherlands
[2] Lab Dr Oberthur GmbH, D-49844 Bawinkel, Germany
[3] CUL VLA, Dept Epidemiol, Addlestone KT15 3NB, Surrey, England
关键词
basic reproduction ratio; BSE; control;
D O I
10.1007/s00285-003-0206-x
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
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 scenario's for controlling BSE, with examples for the UK and the Netherlands.
引用
收藏
页码:1 / 22
页数:22
相关论文
共 26 条
[1]   Transmission dynamics and epidemiology of BSE in British cattle [J].
Anderson, RM ;
Donnelly, CA ;
Ferguson, NM ;
Woolhouse, MEJ ;
Watt, CJ ;
Udy, HJ ;
MaWhinney, S ;
Dunstan, SP ;
Southwood, TRE ;
Wilesmith, JW ;
Ryan, JBM ;
Hoinville, LJ ;
Hillerton, JE ;
Austin, AR ;
Wells, GAH .
NATURE, 1996, 382 (6594) :779-788
[2]   Sequential appearance and accumulation of pathognomonic markers in the central nervous system of hamsters orally infected with scrapie [J].
Beekes, M ;
Baldauf, E ;
Diringer, H .
JOURNAL OF GENERAL VIROLOGY, 1996, 77 :1925-1934
[3]   SURVIVAL OF SCRAPIE VIRUS AFTER 3 YEARS INTERNMENT [J].
BROWN, P ;
GAJDUSEK, DC .
LANCET, 1991, 337 (8736) :269-270
[4]   Transmissions to mice indicate that 'new variant' CJD is caused by the BSE agent [J].
Bruce, ME ;
Will, RG ;
Ironside, JW ;
McConnell, I ;
Drummond, D ;
Suttie, A ;
McCardle, L ;
Chree, A ;
Hope, J ;
Birkett, C ;
Cousens, S ;
Fraser, H ;
Bostock, CJ .
NATURE, 1997, 389 (6650) :498-501
[5]  
DIEKMANN O, 1990, J MATH BIOL, V28, P365
[6]  
Diekmann O., 2000, MATH EPIDEMIOLOGY IN
[7]  
DIEKMANN O, 1991, ORDINARY PARTIAL DIF, V3, P67
[8]  
Diekmann O., 1995, Epidemic Models: Their Structure and Relation to Data, P95
[9]  
Donnelly CA, 1997, J R STAT SOC C-APPL, V46, P299
[10]   The epidemiology of BSE in cattle herds in Great Britain .1. Epidemiological processes, demography of cattle and approaches to control by culling [J].
Donnelly, CA ;
Ferguson, NM ;
Ghani, AC ;
Woolhouse, MEJ ;
Watt, CJ ;
Anderson, RM .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES, 1997, 352 (1355) :781-801