MRC Centre for Outbreak Analysis and Modelling, Department of Infectious Disease Epidemiology, School of Public Health, Imperial College, London, United Kingdom.
Epidemics. 2012 Aug;4(3):158-69. doi: 10.1016/j.epidem.2012.07.002. Epub 2012 Jul 31.
This paper uses statistical and mathematical models to examine the potential impact of within-farm transmission dynamics on the spread of the 2001 foot and mouth disease (FMD) outbreak in Great Britain. We partly parameterize a simple within farm transmission model using data from experimental studies of FMD pathogenesis, embed this model within an existing between-farm transmission model, and then estimate unknown parameters (such as the species-specific within-farm reproduction number) from the 2001 epidemic case data using Markov Chain Monte-Carlo (MCMC) methods. If the probability of detecting an infected premises depends on farm size and species mix then the within-farm species specific basic reproduction ratios for baseline models are estimated to be 21 (16, 25) and 14 (10, 19) for cattle and sheep, respectively. Alternatively, if detection is independent of farm size, then the corresponding estimates are 49 (41, 61) and 10 (1.4, 21). Both model variants predict that the average fraction of total farm infectiousness accumulated prior to detection of infection on an IP is about 30-50% in cattle or mixed farms. The corresponding estimate for sheep farms depended more on the detection model, being 65-80% if detection was linked to the farms' characteristics, but only 25% if not. We highlighted evidence which reinforces the role of within-farm dynamics in contributing to the long tail of the 2001 epidemic.
本文使用统计和数学模型来研究农场内传播动态对英国 2001 年口蹄疫(FMD)爆发传播的潜在影响。我们部分利用 FMD 发病机制的实验研究数据来参数化一个简单的农场内传播模型,将该模型嵌入现有的农场间传播模型中,然后使用马尔可夫链蒙特卡罗(MCMC)方法从 2001 年的疫情数据中估计未知参数(如特定于物种的农场内繁殖数)。如果检测到感染场所的概率取决于农场规模和物种组合,则基线模型中牛和羊的农场内特定物种基本繁殖率的估计值分别为 21(16,25)和 14(10,19)。或者,如果检测独立于农场规模,则相应的估计值分别为 49(41,61)和 10(1.4,21)。两种模型变体均预测,在检测到 IP 上的感染之前,累计的总农场传染性的平均分数在牛或混合农场中约为 30-50%。对于绵羊农场,相应的估计值更多地取决于检测模型,如果检测与农场的特征相关,则为 65-80%,但如果不相关,则仅为 25%。我们强调了证据,这些证据强化了农场内动态在导致 2001 年疫情长尾方面的作用。