Jiangsu Key Lab for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, China.
Department of Mathematics, School of Science, Beijing University of Civil Engineering and Architecture, Beijing, China.
Infect Dis Poverty. 2020 Aug 24;9(1):116. doi: 10.1186/s40249-020-00683-6.
In December 2019, an outbreak of coronavirus disease (later named as COVID-19) was identified in Wuhan, China and, later on, detected in other parts of China. Our aim is to evaluate the effectiveness of the evolution of interventions and self-protection measures, estimate the risk of partial lifting control measures and predict the epidemic trend of the virus in the mainland of China excluding Hubei province based on the published data and a novel mathematical model.
A novel COVID-19 transmission dynamic model incorporating the intervention measures implemented in China is proposed. COVID-19 daily data of the mainland of China excluding Hubei province, including the cumulative confirmed cases, the cumulative deaths, newly confirmed cases and the cumulative recovered cases between 20 January and 3 March 2020, were archived from the National Health Commission of China (NHCC). We parameterize the model by using the Markov Chain Monte Carlo (MCMC) method and estimate the control reproduction number (R), as well as the effective daily reproduction ratio- R(t), of the disease transmission in the mainland of China excluding Hubei province.
The estimation outcomes indicate that R is 3.36 (95% CI: 3.20-3.64) and R(t) has dropped below 1 since 31 January 2020, which implies that the containment strategies implemented by the Chinese government in the mainland of China are indeed effective and magnificently suppressed COVID-19 transmission. Moreover, our results show that relieving personal protection too early may lead to a prolonged disease transmission period and more people would be infected, and may even cause a second wave of epidemic or outbreaks. By calculating the effective reproduction ratio, we prove that the contact rate should be kept at least less than 30% of the normal level by April, 2020.
To ensure the pandemic ending rapidly, it is necessary to maintain the current integrated restrict interventions and self-protection measures, including travel restriction, quarantine of entry, contact tracing followed by quarantine and isolation and reduction of contact, like wearing masks, keeping social distance, etc. People should be fully aware of the real-time epidemic situation and keep sufficient personal protection until April. If all the above conditions are met, the outbreak is expected to be ended by April in the mainland of China apart from Hubei province.
2019 年 12 月,冠状病毒疾病(后命名为 COVID-19)在中国武汉爆发,并随后在中国其他地区检测到。我们的目的是评估干预措施和自我保护措施的演变效果,估计部分解除控制措施的风险,并根据已发表的数据和一种新的数学模型预测中国大陆(不包括湖北省)的病毒流行趋势。
提出了一种新的 COVID-19 传播动力学模型,该模型结合了中国实施的干预措施。从中国国家卫生健康委员会(NHCC)存档了中国大陆(不包括湖北省)2020 年 1 月 20 日至 3 月 3 日的 COVID-19 每日数据,包括累计确诊病例、累计死亡病例、新确诊病例和累计治愈病例。我们使用马尔可夫链蒙特卡罗(MCMC)方法对模型进行参数化,并估计中国大陆(不包括湖北省)疾病传播的控制繁殖数(R)和有效日繁殖比-R(t)。
估计结果表明,R 为 3.36(95%CI:3.20-3.64),自 2020 年 1 月 31 日以来,R(t)已降至 1 以下,这意味着中国政府在中国大陆实施的遏制策略确实有效,并出色地抑制了 COVID-19 的传播。此外,我们的结果表明,过早放松个人保护可能导致疾病传播期延长,更多人感染,甚至可能导致第二波疫情或爆发。通过计算有效繁殖率,我们证明在 2020 年 4 月之前,接触率应保持在正常水平的 30%以下。
为了确保大流行迅速结束,有必要维持当前综合限制干预措施和自我保护措施,包括旅行限制、入境检疫、接触追踪后检疫和隔离以及减少接触,如戴口罩、保持社交距离等。人们应该充分了解实时疫情,并在四月前保持足够的个人保护。如果满足上述所有条件,预计除湖北省外,中国大陆的疫情将在四月结束。