Llamazares Marco, Smith Robert J
Department of Mathematics, The University of Ottawa, Ottawa, Canada.
BMC Public Health. 2008 Apr 10;8:114. doi: 10.1186/1471-2458-8-114.
Recently, provincial health programs in Canada and elsewhere have begun rolling out vaccination against human papillomavirus for girls aged 9-13. While vaccination is voluntary, the cost of vaccination is waived, to encourage parents to have their daughters vaccinated. Adult women who are eligible for the vaccine may still receive it, but at a cost of approximately CAN$400. Given the high efficacy and immunogenicity of the vaccine, the possibility of eradicating targeted types of the virus may be feasible, assuming the vaccination programs are undertaken strategically.
We develop a mathematical model to describe the epidemiology of vaccination against human papillomavirus, accounting for a widespread childhood vaccination program that may be supplemented by voluntary adult vaccination. A stability analysis is performed to determine the stability of the disease-free equilibrium. The critical vaccine efficacy and immunogenicity thresholds are derived, and the minimum level of adult vaccination required for eradication of targeted types is determined.
We demonstrate that eradication of targeted types is indeed feasible, although the burden of coverage for a childhood-only vaccination program may be high. However, if a small, but non-negligible, proportion of eligible adults can be vaccinated, then the possibility of eradication of targeted types becomes much more favourable. We provide a threshold for eradication in general communities and illustrate the results with numerical simulations. We also investigate the effects of suboptimal efficacy and immunogenicity and show that there is a critical efficacy below which eradication of targeted types is not possible. If eradication is possible, then there is a critical immunogenicity such that even 100% childhood vaccination will not eradicate the targeted types of the virus and must be supplemented with voluntary adult vaccination. However, the level of adult vaccination coverage required is modest and may be achieved simply by removing the cost burden to vaccination.
We recommend that provincial healthcare programs should pay for voluntary adult vaccination for women aged 14-26. However, it should be noted that our model results are preliminary, in that we have made a number of simplifying assumptions, including a lack of age-dependency in sexual partner rates, a lack of sexual activity outside of the vaccine age-range among females and a uniform age of sexual debut; thus, further work is desired to enhance the external generalisability of our results.
最近,加拿大及其他地区的省级卫生项目已开始为9至13岁的女孩推广人乳头瘤病毒疫苗接种。虽然接种是自愿的,但接种费用被免除,以鼓励家长让女儿接种疫苗。符合接种条件的成年女性仍可接种,但费用约为400加元。鉴于该疫苗具有较高的效力和免疫原性,假设接种项目策略性实施,根除目标类型病毒的可能性或许可行。
我们建立了一个数学模型来描述人乳头瘤病毒疫苗接种的流行病学情况,该模型考虑了可能由自愿的成人接种进行补充的广泛儿童接种项目。进行稳定性分析以确定无病平衡点的稳定性。推导临界疫苗效力和免疫原性阈值,并确定根除目标类型所需的最低成人接种水平。
我们证明,根除目标类型确实可行,尽管仅针对儿童的接种项目的覆盖负担可能很高。然而,如果一小部分但不可忽略的符合条件的成年人能够接种疫苗,那么根除目标类型的可能性就会变得更加有利。我们给出了一般社区根除的阈值并用数值模拟说明了结果。我们还研究了次优效力和免疫原性的影响,并表明存在一个临界效力,低于该效力则无法根除目标类型病毒。如果有可能根除,那么存在一个临界免疫原性,使得即使100%的儿童接种也无法根除目标类型病毒,必须辅以自愿的成人接种。然而,所需的成人接种覆盖率水平适中,简单地消除接种费用负担或许就能实现。
我们建议省级医疗保健项目应为14至26岁的女性支付自愿成人接种的费用。然而,应该注意的是,我们的模型结果是初步的,因为我们做了一些简化假设,包括性伴侣率不随年龄变化、疫苗年龄范围之外的女性没有性活动以及性初次发生年龄统一;因此,需要进一步开展工作以提高我们结果的外部通用性。