Department of Mathematics, Konkuk University, Seoul, Korea.
Institute of Mathematics, University of the Philippines Diliman, Quezon City, Philippines.
J Korean Med Sci. 2022 Jul 4;37(26):e209. doi: 10.3346/jkms.2022.37.e209.
The most recent variant of concern, omicron (B.1.1.529), has caused numerous cases worldwide including the Republic of Korea due to its fast transmission and reduced vaccine effectiveness.
A mathematical model considering age-structure, vaccine, antiviral drugs, and influx of the omicron variant was developed. We estimated transmission rates among age groups using maximum likelihood estimation for the age-structured model. The impact of non-pharmaceutical interventions (NPIs; in community and border), quantified by a parameter μ in the force of infection, and vaccination were examined through a multi-faceted analysis. A theory-based endemic equilibrium study was performed to find the manageable number of cases according to omicron- and healthcare-related factors.
By fitting the model to the available data, the estimated values of μ ranged from 0.31 to 0.73, representing the intensity of NPIs such as social distancing level. If μ < 0.55 and 300,000 booster shots were administered daily from February 3, 2022, the number of severe cases was forecasted to exceed the severe bed capacity. Moreover, the number of daily cases is reduced as the timing of screening measures is delayed. If screening measure was intensified as early as November 24, 2021 and the number of overseas entrant cases was contained to 1 case per 10 days, simulations showed that the daily incidence by February 3, 2022 could have been reduced by 87%. Furthermore, we found that the incidence number in mid-December 2021 exceeded the theory-driven manageable number of daily cases.
NPIs, vaccination, and antiviral drugs influence the spread of omicron and number of severe cases in the Republic of Korea. Intensive and early screening measures during the emergence of a new variant is key in controlling the epidemic size. Using the endemic equilibrium of the model, a formula for the manageable daily cases depending on the severity rate and average length of hospital stay was derived so that the number of severe cases does not surpass the severe bed capacity.
由于传播速度快且疫苗效力降低,最近出现的关注变体奥密克戎(B.1.1.529)已在全球范围内导致大量病例,包括韩国。
开发了一个考虑年龄结构、疫苗、抗病毒药物和奥密克戎变体流入的数学模型。我们使用年龄结构模型的最大似然估计来估计各年龄组之间的传播率。通过对感染力中的参数μ进行非药物干预(社区和边境)和疫苗接种的多方面分析来评估其影响。进行了基于理论的地方病平衡点研究,以根据奥密克戎和医疗相关因素找到可管理的病例数。
通过将模型拟合到可用数据中,μ的估计值范围为 0.31 至 0.73,代表了社交距离等非药物干预措施的强度。如果μ<0.55 并且从 2022 年 2 月 3 日开始每天接种 30 万剂加强针,则预计重症病例数将超过重症病床容量。此外,随着筛查措施的延迟,每日病例数会减少。如果筛查措施早在 2021 年 11 月 24 日加强,并且将每天入境病例数控制在 10 天 1 例,则模拟结果显示,到 2022 年 2 月 3 日,每日发病率可降低 87%。此外,我们发现 2021 年 12 月中旬的发病率超过了理论上可管理的每日病例数。
非药物干预、疫苗接种和抗病毒药物会影响奥密克戎的传播和韩国的重症病例数。在新变体出现时,强化和早期筛查措施是控制疫情规模的关键。使用模型的地方病平衡点,推导出了一个取决于严重程度率和平均住院时间的可管理每日病例数公式,以确保重症病例数不超过重症病床容量。