Anderson R M, May R M
J Hyg (Lond). 1985 Jun;94(3):365-436. doi: 10.1017/s002217240006160x.
Mathematical models are developed to aid in the investigation of the implications of heterogeneity in contact with infection within a community, on the design of mass vaccination programmes for the control of childhood viral and bacterial infections in developed countries. Analyses are focused on age-dependency in the rate at which individuals acquire infection, the question of 'who acquires infection from whom', and the implications of genetic variability in susceptibility to infection. Throughout, theoretical predictions are based on parameter estimates obtained from epidemiological studies and are compared with observed temporal trends in disease incidence and age-stratified serological profiles. Analysis of case notification records and serological data suggest that the rate at which individuals acquire many common infections changes from medium to high and then to low levels in the infant, child and teenage plus adult age groups respectively. Such apparent age-dependency in attack rate acts to reduce slightly the predicted levels of herd immunity required for the eradication of infections such as measles, when compared with the predictions of models based on age-independent transmission. The action of maternally derived immunity in prohibiting vaccination in infants, and the broad span of age classes over which vaccination currently takes place in the U.K., however, argue that levels of herd immunity of between 90 and 94% would be required to eliminate measles. Problems surrounding the interpretation of apparent age-related trends in the acquisition of infection and their relevance to the design of vaccination programmes, are discussed in relation to the possible role of genetically based variation in susceptibility to infection and observations on epidemics in 'virgin' populations. Heterogeneous mixing models provide predictions of changes in serology and disease incidence under the impact of mass vaccination which well mirror observed trends in England and Wales.
开发数学模型以协助调查社区内感染接触异质性对发达国家控制儿童病毒和细菌感染的大规模疫苗接种计划设计的影响。分析重点在于个体感染率的年龄依赖性、“谁从谁那里感染”的问题以及感染易感性的基因变异性的影响。自始至终,理论预测都基于从流行病学研究中获得的参数估计,并与疾病发病率和年龄分层血清学特征的观察时间趋势进行比较。对病例报告记录和血清学数据的分析表明,个体感染许多常见感染的速率在婴儿、儿童、青少年及成人年龄组中分别从中等水平变为高水平,然后变为低水平。与基于年龄无关传播的模型预测相比,这种发病率明显的年龄依赖性略微降低了根除麻疹等感染所需的群体免疫预测水平。然而,母体衍生免疫在禁止婴儿接种疫苗方面的作用,以及英国目前进行疫苗接种的广泛年龄范围,表明消除麻疹需要90%至94%的群体免疫水平。围绕感染获得中明显的年龄相关趋势的解释及其与疫苗接种计划设计的相关性问题,结合基于基因的感染易感性变异的可能作用以及对“未接触过”人群中流行病的观察进行了讨论。异质性混合模型提供了大规模疫苗接种影响下血清学和疾病发病率变化的预测,很好地反映了英格兰和威尔士观察到的趋势。