Iboi Enahoro A, Ngonghala Calistus N, Gumel Abba B
Department of Mathematics, Spelman College, Atlanta, Georgia, 30314, USA.
Department of Mathematics, University of Florida, Gainesville, FL, 32611, USA.
Infect Dis Model. 2020;5:510-524. doi: 10.1016/j.idm.2020.07.006. Epub 2020 Aug 6.
The novel coronavirus (COVID-19) that emerged from Wuhan city of China in late December 2019 continue to pose devastating public health and economic challenges across the world. Although the community-wide implementation of basic non-pharmaceutical intervention measures, such as social distancing, quarantine of suspected COVID-19 cases, isolation of confirmed cases, use of face masks in public, contact tracing and testing, have been quite effective in curtailing and mitigating the burden of the pandemic, it is universally believed that the use of a vaccine may be necessary to effectively curtail and eliminating COVID-19 in human populations. This study is based on the use of a mathematical model for assessing the impact of a hypothetical imperfect anti-COVID-19 vaccine on the control of COVID-19 in the United States. An analytical expression for the minimum percentage of unvaccinated susceptible individuals needed to be vaccinated in order to achieve vaccine-induced community herd immunity is derived. The epidemiological consequence of the herd immunity threshold is that the disease can be effectively controlled or eliminated if the minimum herd immunity threshold is achieved in the community. Simulations of the model, using baseline parameter values obtained from fitting the model with COVID-19 mortality data for the U.S., show that, for an anti-COVID-19 vaccine with an assumed protective efficacy of 80%, at least 82% of the susceptible US population need to be vaccinated to achieve the herd immunity threshold. The prospect of COVID-19 elimination in the US, using the hypothetical vaccine, is greatly enhanced if the vaccination program is combined with other interventions, such as face mask usage and/or social distancing. Such combination of strategies significantly reduces the level of the vaccine-induced herd immunity threshold needed to eliminate the pandemic in the US. For instance, the herd immunity threshold decreases to 72% if half of the US population regularly wears face masks in public (the threshold decreases to 46% if everyone wears a face mask).
2019年12月底在中国武汉市出现的新型冠状病毒(COVID-19)继续在全球范围内造成毁灭性的公共卫生和经济挑战。尽管在社区层面实施基本的非药物干预措施,如保持社交距离、对疑似COVID-19病例进行隔离、对确诊病例进行隔离、在公共场所佩戴口罩、接触者追踪和检测等,在减轻和缓解疫情负担方面相当有效,但人们普遍认为,使用疫苗可能是有效控制和消除人群中COVID-19的必要手段。本研究基于一个数学模型,用于评估一种假设的不完全抗COVID-19疫苗对美国控制COVID-19的影响。推导了为实现疫苗诱导的社区群体免疫所需接种疫苗的未接种易感个体的最小百分比的解析表达式。群体免疫阈值的流行病学后果是,如果在社区中达到最小群体免疫阈值,疾病就能得到有效控制或消除。使用从美国COVID-19死亡率数据拟合模型获得的基线参数值对模型进行模拟,结果表明,对于一种假设保护效力为80%的抗COVID-19疫苗,至少82%的美国易感人群需要接种疫苗才能达到群体免疫阈值。如果将疫苗接种计划与其他干预措施,如佩戴口罩和/或保持社交距离相结合,使用这种假设疫苗在美国消除COVID-19的前景将大大增强。这种策略组合显著降低了在美国消除疫情所需的疫苗诱导群体免疫阈值水平。例如,如果一半的美国人口在公共场所定期佩戴口罩,群体免疫阈值降至72%(如果每个人都佩戴口罩,阈值降至46%)。