Early dynamics of transmission and control of COVID-19: a mathematical modelling study
Date
2020Author
Kucharski, Adam J
Russell, Timothy W
Diamond, Charlie
Liu, Yang
Edmunds, John
Funk, Sebastian
Eggo, Rosalind M
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Abstract
Background An outbreak of severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) has led to 95333 confirmed
cases as of March 5, 2020. Understanding the early transmission dynamics of the infection and evaluating the
effectiveness of control measures is crucial for assessing the potential for sustained transmission to occur in new
areas. Combining a mathematical model of severe SARS-CoV-2 transmission with four datasets from within and
outside Wuhan, we estimated how transmission in Wuhan varied between December, 2019, and February, 2020. We
used these estimates to assess the potential for sustained human-to-human transmission to occur in locations outside
Wuhan if cases were introduced.
Methods We combined a stochastic transmission model with data on cases of coronavirus disease 2019 (COVID-19) in
Wuhan and international cases that originated in Wuhan to estimate how transmission had varied over time during
January, 2020, and February, 2020. Based on these estimates, we then calculated the probability that newly introduced
cases might generate outbreaks in other areas. To estimate the early dynamics of transmission in Wuhan, we fitted a
stochastic transmission dynamic model to multiple publicly available datasets on cases in Wuhan and internationally
exported cases from Wuhan. The four datasets we fitted to were: daily number of new internationally exported cases
(or lack thereof), by date of onset, as of Jan 26, 2020; daily number of new cases in Wuhan with no market exposure,
by date of onset, between Dec 1, 2019, and Jan 1, 2020; daily number of new cases in China, by date of onset, between
Dec 29, 2019, and Jan 23, 2020; and proportion of infected passengers on evacuation flights between Jan 29, 2020, and
Feb 4, 2020. We used an additional two datasets for comparison with model outputs: daily number of new exported
cases from Wuhan (or lack thereof) in countries with high connectivity to Wuhan (ie, top 20 most at-risk countries),
by date of confirmation, as of Feb 10, 2020; and data on new confirmed cases reported in Wuhan between Jan 16, 2020,
and Feb 11, 2020.
Findings We estimated that the median daily reproduction number (Rt
) in Wuhan declined from 2·35 (95% CI
1·15–4·77) 1 week before travel restrictions were introduced on Jan 23, 2020, to 1·05 (0·41–2·39) 1 week after. Based
on our estimates of Rt
, assuming SARS-like variation, we calculated that in locations with similar transmission
potential to Wuhan in early January, once there are at least four independently introduced cases, there is a more than
50% chance the infection will establish within that population.
Interpretation Our results show that COVID-19 transmission probably declined in Wuhan during late January, 2020,
coinciding with the introduction of travel control measures. As more cases arrive in international locations with
similar transmission potential to Wuhan before these control measures, it is likely many chains of transmission will
fail to establish initially, but might lead to new outbreaks eventually.
Funding Wellcome Trust, Health Data Research UK, Bill & Melinda Gates Foundation, and National Institute for
Health Research.
Palabras clave
COVID-19; Mathematical modelling studyLink to resource
https://doi.org/10.1016/Collections
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