Department of Public Health and Center for Infectious Disease Epidemiology, China Medical University, Taichung, Taiwan.
BMC Infect Dis. 2010 Apr 30;10:106. doi: 10.1186/1471-2334-10-106.
The unpredictable nature of the potentially devastating impact of 2009 pH1N1 influenza pandemic highlights the need for pandemic preparedness planning, where modeling studies could be most useful for simulations of possible future scenarios.
A compartmental model with pre-symptomatic and asymptomatic influenza infections is proposed which incorporates age groups as well as intervention measures such as age-specific vaccination, in order to study spread of influenza in a community.
We derive the basic reproduction number and other effective reproduction numbers under various intervention measures. For illustration, we make use of the Pneumonia and Influenza (P&I) mortality data and vaccination data of the very young (age 0-2) and the very old (age > 64) during 2004-2005 Taiwan winter influenza season to fit our model and to compute the relevant reproduction numbers. The reproduction number for this winter flu season is estimated to be slightly above one (approximately 1.0001).
Comparatively large errors in fitting the P&I mortality data of the elderly (> 64) were observed shortly after winter school closings in January, which may indicate the impact of younger, more active age groups transmitting influenza to other age groups outside of the school settings; in particular, to the elderly in the households. Pre-symptomatic infections seemed to have little effect on the model fit, while asymptomatic infection by asymptomatic infectives has a more pronounced impact on the model fit for the elderly mortality, perhaps indicating a larger role in disease transmission by asymptomatic infection. Simulations indicate that the impact of vaccination on the disease incidence might not be fully revealed in the change (or the lack thereof) in the effective reproduction number with interventions, but could still be substantial. The estimated per contact transmission probability for susceptible elderly is significantly higher than that of any other age group, perhaps highlighting the vulnerability of the elderly due to close contacts with their caretakers from other age groups. The relative impact of targeting the very young and the very old for vaccination was weakened by their relative inactivity, thus giving evidence of the lack of impact of vaccinating these two groups on the overall transmissibility of the disease in the community. This further underscores the need for morbidity-based strategy to prevent elderly mortality.
2009 年 pH1N1 流感大流行的潜在破坏性影响难以预测,这凸显了大流行防范规划的必要性,在这种规划中,建模研究对于模拟未来可能出现的情景最为有用。
提出了一个包含有潜伏期和无症状感染的房室模型,该模型纳入了年龄组以及诸如针对特定年龄组的疫苗接种等干预措施,以便研究社区中流感的传播。
我们推导出了在各种干预措施下的基本繁殖数和其他有效繁殖数。为了说明问题,我们利用 2004-2005 年台湾冬季流感季节期间 0-2 岁和 64 岁以上老年人的肺炎和流感(P&I)死亡率数据和疫苗接种数据来拟合我们的模型,并计算相关的繁殖数。估计本流感季节的繁殖数略高于 1(约为 1.0001)。
在 1 月冬季学校关闭后不久,拟合老年人(>64 岁)的 P&I 死亡率数据时观察到较大误差,这可能表明年龄较小、更活跃的年龄组将流感传播给学校环境以外的其他年龄组的情况更多;特别是将流感传播给家庭中的老年人。潜伏期感染似乎对模型拟合影响不大,而无症状感染者的无症状感染对老年人死亡率的模型拟合有更显著的影响,这表明无症状感染在疾病传播中可能发挥更大的作用。模拟表明,在干预措施下,疫苗接种对疾病发病率的影响可能不会完全体现在有效繁殖数的变化(或缺乏变化)中,但仍可能具有重要意义。易感老年人的每一次接触传播概率估计明显高于任何其他年龄组,这可能突出表明由于与其他年龄组的看护者密切接触,老年人易受感染。针对婴幼儿和老年人进行疫苗接种的相对影响因他们的相对不活跃而减弱,这表明为这两个群体接种疫苗对社区中疾病整体传播性没有影响。这进一步强调了基于发病率的策略对于预防老年人死亡的必要性。