Hempel Karsten, Earn David J D
Department of Mathematics and Statistics, McMaster University, 1280 Main Street West, Hamilton, Ontario, Canada L8S 4K1
Department of Mathematics and Statistics, McMaster University, 1280 Main Street West, Hamilton, Ontario, Canada L8S 4K1.
J R Soc Interface. 2015 May 6;12(106). doi: 10.1098/rsif.2015.0024.
Infectious diseases spreading in a human population occasionally exhibit sudden transitions in their qualitative dynamics. Previous work has successfully predicted such transitions in New York City's historical measles incidence using the seasonally forced susceptible-infectious-recovered (SIR) model. This work relied on a dataset spanning 45 years (1928-1973), which we have extended to 93 years (1891-1984). We identify additional dynamical transitions in the longer dataset and successfully explain them by analysing attractors and transients of the same mechanistic epidemiological model.
在人群中传播的传染病偶尔会在其定性动态方面表现出突然转变。此前的研究利用季节性强迫的易感-感染-康复(SIR)模型成功预测了纽约市历史麻疹发病率的此类转变。这项研究依赖于一个跨度为45年(1928 - 1973年)的数据集,我们已将其扩展至93年(1891 - 1984年)。我们在更长的数据集里识别出了更多的动态转变,并通过分析同一机械流行病学模型的吸引子和瞬态成功地对其进行了解释。