Department of Applied Mathematics, University of Washington, Seattle, Washington, United States of America.
PLoS One. 2010 Nov 11;5(11):e13767. doi: 10.1371/journal.pone.0013767.
Pandemic influenza A(H1N1) 2009 began spreading around the globe in April of 2009 and vaccination started in October of 2009. In most countries, by the time vaccination started, the second wave of pandemic H1N1 2009 was already under way. With limited supplies of vaccine, we are left to question whether it may be a good strategy to vaccinate the high-transmission groups earlier in the epidemic, but it might be a better use of resources to protect instead the high-risk groups later in the epidemic. To answer this question, we develop a deterministic epidemic model with two age-groups (children and adults) and further subdivide each age group in low and high risk.
We COMPARE optimal vaccination strategies started at various points in time in two different.
a population in a developed country where children account for 24% of the population, and a population in a less developed country where children make up the majority of the population, 55%. For each of these populations, we minimize mortality or hospitalizations and we find an optimal vaccination strategy that gives the best vaccine allocation given a starting vaccination time and vaccine coverage level. We find that population structure is an important factor in determining the optimal vaccine distribution. Moreover, the optimal policy is dynamic as there is a switch in the optimal vaccination strategy at some time point just before the peak of the epidemic. For instance, with 25% vaccine coverage, it is better to protect the high-transmission groups before this point, but it is optimal to protect the most vulnerable groups afterward.
Choosing the optimal strategy before or early in the epidemic makes an important difference in minimizing the number of influenza infections, and consequently the number of influenza deaths or hospitalizations, but the optimal strategy makes little difference after the peak.
甲型 H1N1 流感大流行于 2009 年 4 月开始在全球范围内传播,2009 年 10 月开始接种疫苗。在大多数国家,当开始接种疫苗时,第二波甲型 H1N1 大流行已经在进行中。由于疫苗供应有限,我们不禁要质疑,在大流行早期为高传播人群接种疫苗是否是一种好策略,但保护大流行后期的高风险人群可能是更好的资源利用方式。为了回答这个问题,我们建立了一个具有两个年龄组(儿童和成人)的确定性传染病模型,并进一步将每个年龄组细分为低风险和高风险人群。
我们在两个不同的环境中比较了在不同时间点开始的最佳疫苗接种策略。
一个发达国家的人群,其中儿童占总人口的 24%,以及一个儿童占多数的欠发达国家的人群,占 55%。对于这两个人群,我们将死亡率或住院率最小化,并找到在给定起始接种时间和疫苗覆盖率水平下的最佳疫苗分配策略。我们发现,人口结构是决定最佳疫苗分配的一个重要因素。此外,最优策略是动态的,因为在大流行高峰期之前的某个时间点,最优疫苗接种策略会发生转变。例如,在 25%的疫苗覆盖率下,在这一点之前保护高传播人群更好,但在之后保护最脆弱的人群是最优的。
在大流行前或早期选择最佳策略对于将流感感染人数、进而将流感死亡或住院人数最小化有重要影响,但最佳策略在高峰期后影响不大。