Duncan C J, Duncan S R, Scott S
School of Biological Sciences, University of Liverpool, UK.
Epidemiol Infect. 1996 Dec;117(3):493-9. doi: 10.1017/s0950268800059161.
There was a marked rise in scarlet fever mortality in England and Wales in the mid-nineteenth century and spectral analysis of the registration details, 1847-80, shows that the interepidemic interval was 5-6 years, but after 1880 the endemic level fell and the fatal epidemics disappeared. The dynamics of the scarlet fever epidemics can be represented by a linearized mathematical model and because the system is lightly damped, it could be driven by an oscillation in susceptibility. Epidemics were significantly correlated with dry conditions in spring/summer (P < 0.001), suggesting that these produced a low amplitude oscillation in susceptibility which drove the system. Epidemics also correlated (P < 0.001) with an oscillation in wheat prices but at a lag of 3 years, suggesting that malnutrition during pregnancy caused increased susceptibility in the subsequent children which interacted synergistically with seasonal dry conditions. Scarlet fever mortality was sharply reduced after 1880 in parallel with falling wheat prices suggesting that the remarkable period of high scarlet fever mortality (1840-80) was dependent on poor nutritive levels during that time.
19世纪中叶,英格兰和威尔士猩红热死亡率显著上升。对1847年至1880年登记细节的频谱分析表明,流行间期为5至6年,但1880年之后,地方病水平下降,致命性流行病消失。猩红热流行的动态可以用一个线性化数学模型来表示,由于该系统阻尼较小,它可能由易感性的振荡驱动。流行病与春夏季干旱条件显著相关(P < 0.001),这表明这些条件在易感性方面产生了低振幅振荡,从而驱动了该系统。流行病还与小麦价格的振荡相关(P < 0.001),但存在3年的滞后,这表明孕期营养不良导致随后出生的儿童易感性增加,这与季节性干旱条件产生协同作用。1880年之后,随着小麦价格下降,猩红热死亡率急剧降低,这表明猩红热死亡率高的显著时期(1840年至1880年)取决于当时营养不良的水平。