Choi Wongyeong, Shim Eunha
Department of Mathematics, Soongsil University, 369 Sangdoro, Dongjak-Gu, Seoul 06978, Korea.
J Clin Med. 2021 Jun 25;10(13):2813. doi: 10.3390/jcm10132813.
The approved coronavirus disease (COVID-19) vaccines reduce the risk of disease by 70-95%; however, their efficacy in preventing COVID-19 is unclear. Moreover, the limited vaccine supply raises questions on how they can be used effectively. To examine the optimal allocation of COVID-19 vaccines in South Korea, we constructed an age-structured mathematical model, calibrated using country-specific demographic and epidemiological data. The optimal control problem was formulated with the aim of finding time-dependent age-specific optimal vaccination strategies to minimize costs related to COVID-19 infections and vaccination, considering a limited vaccine supply and various vaccine effects on susceptibility and symptomatology. Our results suggest that "susceptibility-reducing" vaccines should be relatively evenly distributed among all age groups, resulting in more than 40% of eligible age groups being vaccinated. In contrast, "symptom-reducing" vaccines should be administered mainly to individuals aged 20-29 and ≥60 years. Thus, our study suggests that the vaccine profile should determine the optimal vaccination strategy. Our findings highlight the importance of understanding vaccine's effects on susceptibility and symptomatology for effective public health interventions.
获批的冠状病毒病(COVID-19)疫苗可将患病风险降低70%-95%;然而,其预防COVID-19的效果尚不清楚。此外,疫苗供应有限引发了如何有效使用这些疫苗的问题。为了研究韩国COVID-19疫苗的最佳分配方式,我们构建了一个年龄结构数学模型,并使用特定国家的人口和流行病学数据进行校准。在考虑疫苗供应有限以及疫苗对易感性和症状表现的各种影响的情况下,制定了最优控制问题,旨在找到随时间变化的按年龄划分的最优疫苗接种策略,以尽量减少与COVID-19感染和疫苗接种相关的成本。我们的结果表明,“降低易感性”的疫苗应在所有年龄组中相对均匀地分配,使超过40%的符合条件年龄组接种疫苗。相比之下,“减轻症状”的疫苗应主要接种给20-29岁和60岁及以上的人群。因此,我们的研究表明疫苗特性应决定最优疫苗接种策略。我们的研究结果凸显了了解疫苗对易感性和症状表现的影响对于有效的公共卫生干预措施的重要性。