Estimating the time interval between transmission generations when negative values occur in the serial interval data: using COVID-19 as an example

Math Biosci Eng. 2020 May 11;17(4):3512-3519. doi: 10.3934/mbe.2020198.

Abstract

The coronavirus disease 2019 (COVID-19) emerged in Wuhan, China in the end of 2019, and soon became a serious public health threat globally. Due to the unobservability, the time interval between transmission generations (TG), though important for understanding the disease transmission patterns, of COVID-19 cannot be directly summarized from surveillance data. In this study, we develop a likelihood framework to estimate the TG and the pre-symptomatic transmission period from the serial interval observations from the individual transmission events. As the results, we estimate the mean of TG at 4.0 days (95%CI: 3.3-4.6), and the mean of pre-symptomatic transmission period at 2.2 days (95%CI: 1.3-4.7). We approximate the mean latent period of 3.3 days, and 32.2% (95%CI: 10.3-73.7) of the secondary infections may be due to pre-symptomatic transmission. The timely and effectively isolation of symptomatic COVID-19 cases is crucial for mitigating the epidemics.

Keywords: COVID-19; coronavirus disease 2019; epidemic; modelling; serial interval; time of generation.

MeSH terms

  • Basic Reproduction Number / statistics & numerical data
  • Betacoronavirus*
  • COVID-19
  • China / epidemiology
  • Coronavirus Infections / epidemiology
  • Coronavirus Infections / transmission*
  • Humans
  • Likelihood Functions
  • Mathematical Concepts
  • Models, Biological
  • Pandemics* / statistics & numerical data
  • Pneumonia, Viral / epidemiology
  • Pneumonia, Viral / transmission*
  • SARS-CoV-2
  • Time Factors