Department of Mathematics and Statistics, University of Victoria, Victoria, BC, V8W 2Y2, Canada.
Bull Math Biol. 2018 Mar;80(3):657-669. doi: 10.1007/s11538-018-0395-5. Epub 2018 Jan 25.
To determine the cross-immunity between influenza strains, we design a novel statistical method, which uses a theoretical model and clinical data on attack rates and vaccine efficacy among school children for two seasons after the 1968 A/H3N2 influenza pandemic. This model incorporates the distribution of susceptibility and the dependence of cross-immunity on the antigenic distance of drifted strains. We find that the cross-immunity between an influenza strain and the mutant that causes the next epidemic is 88%. Our method also gives estimates of the vaccine protection against the vaccinating strain, and the basic reproduction number of the 1968 pandemic influenza.
为了确定流感病毒株之间的交叉免疫力,我们设计了一种新的统计方法,该方法使用了 1968 年 A/H3N2 流感大流行后两个季节中针对学龄儿童的发病率和疫苗效力的理论模型和临床数据。该模型结合了易感性分布以及交叉免疫力对漂移株抗原距离的依赖性。我们发现,流感株与引起下一次流行的突变株之间的交叉免疫力为 88%。我们的方法还可以估算针对接种疫苗株的疫苗保护率以及 1968 年大流行性流感的基本繁殖数。