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Estimation of country-level basic reproductive ratios for novel Coronavirus (SARS-CoV-2/COVID-19) using synthetic contact matrices

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  • Joe Hilton
  • Matt J Keeling

Abstract

The 2019-2020 pandemic of atypical pneumonia (COVID-19) caused by the virus SARS-CoV-2 has spread globally and has the potential to infect large numbers of people in every country. Estimating the country-specific basic reproductive ratio is a vital first step in public-health planning. The basic reproductive ratio (R0) is determined by both the nature of pathogen and the network of human contacts through which the disease can spread, which is itself dependent on population age structure and household composition. Here we introduce a transmission model combining age-stratified contact frequencies with age-dependent susceptibility, probability of clinical symptoms, and transmission from asymptomatic (or mild) cases, which we use to estimate the country-specific basic reproductive ratio of COVID-19 for 152 countries. Using early outbreak data from China and a synthetic contact matrix, we estimate an age-stratified transmission structure which can then be extrapolated to 151 other countries for which synthetic contact matrices also exist. This defines a set of country-specific transmission structures from which we can calculate the basic reproductive ratio for each country. Our predicted R0 is critically sensitive to the intensity of transmission from asymptomatic cases; with low asymptomatic transmission the highest values are predicted across Eastern Europe and Japan and the lowest across Africa, Central America and South-Western Asia. This pattern is largely driven by the ratio of children to older adults in each country and the observed propensity of clinical cases in the elderly. If asymptomatic cases have comparable transmission to detected cases, the pattern is reversed. Our results demonstrate the importance of age-specific heterogeneities going beyond contact structure to the spread of COVID-19. These heterogeneities give COVID-19 the capacity to spread particularly quickly in countries with older populations, and that intensive control measures are likely to be necessary to impede its progress in these countries.Author summary: Over 100 countries have reported laboratory-confirmed cases of atypical pneumonia caused by 2019 novel coronavirus (COVID-19). Cases are largely reported in older age groups, suggesting a strong age-dependent component to either transmission or the probability of developing symptoms and thus being detected. We introduce a mathematical model for COVID-19 transmission in which contact behaviour, susceptibility, detection probability, and transmission from undetected cases all vary with age. We fit our model to epidemiological data from the outbreak in China for the special case where asymptomatic transmission is negligible, and compare it to a null model where only contact behaviour varies with age. Our fitted model suggests that contacts involving older individuals are particularly likely to generate new detected cases, intensifying the spread of infection in countries with older populations. We estimate the basic reproductive ratio (a measure of a pathogen’s capacity for spread) of COVID-19 in 152 countries under both models, and find that estimates of the basic reproductive ratio are highly dependent on the assumed underlying transmission structure; our more complex model predicts higher values in Japan and much of Europe and lower values in much of Africa, in comparison to the contact frequency-based model where this pattern is reversed.

Suggested Citation

  • Joe Hilton & Matt J Keeling, 2020. "Estimation of country-level basic reproductive ratios for novel Coronavirus (SARS-CoV-2/COVID-19) using synthetic contact matrices," PLOS Computational Biology, Public Library of Science, vol. 16(7), pages 1-10, July.
  • Handle: RePEc:plo:pcbi00:1008031
    DOI: 10.1371/journal.pcbi.1008031
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    1. Jude Dzevela Kong & Edward W Tekwa & Sarah A Gignoux-Wolfsohn, 2021. "Social, economic, and environmental factors influencing the basic reproduction number of COVID-19 across countries," PLOS ONE, Public Library of Science, vol. 16(6), pages 1-17, June.
    2. Rachid Laajaj & Camilo De Los Rios & Ignacio Sarmiento-Barbieri & Danilo Aristizabal & Eduardo Behrentz & Raquel Berna & Giancarlo Buitrago & Zulma Cucunubá, 2021. "SARS-CoV-2 spread, detection, and dynamics in a megacity in Latin America," Documentos CEDE 19152, Universidad de los Andes, Facultad de Economía, CEDE.
    3. Luca Scrucca, 2022. "A COVINDEX based on a GAM beta regression model with an application to the COVID-19 pandemic in Italy," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 31(4), pages 881-900, October.
    4. Ritabrata Dutta & Susana N Gomes & Dante Kalise & Lorenzo Pacchiardi, 2021. "Using mobility data in the design of optimal lockdown strategies for the COVID-19 pandemic," PLOS Computational Biology, Public Library of Science, vol. 17(8), pages 1-25, August.
    5. Khalid A. Kheirallah & Belal Alsinglawi & Abdallah Alzoubi & Motasem N. Saidan & Omar Mubin & Mohammed S. Alorjani & Fawaz Mzayek, 2020. "The Effect of Strict State Measures on the Epidemiologic Curve of COVID-19 Infection in the Context of a Developing Country: A Simulation from Jordan," IJERPH, MDPI, vol. 17(18), pages 1-11, September.
    6. Nie, Shiqian & Lei, Xiaochun, 2023. "A time-dependent model of the transmission of COVID-19 variants dynamics using Hausdorff fractal derivative," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 629(C).
    7. Agarwal,Ruchir & Reed,Tristan, 2021. "How to End the COVID-19 Pandemic by March 2022," Policy Research Working Paper Series 9632, The World Bank.
    8. Tsippy Lotan & David Shinar, 2021. "Sustainable Public Safety and the Case of Two Epidemics: COVID-19 and Traffic Crashes. Can We Extrapolate from One to the Other?," Sustainability, MDPI, vol. 13(6), pages 1-19, March.
    9. Rachid Laajaj & Duncan Webb & Danilo Aristizabal & Eduardo Behrentz & Raquel Bernal & Giancarlo Buitrago & Zulma Cucunubá & Fernando de la Hoz, 2021. "Understanding how socioeconomic inequalities drive inequalities in SARS-CoV-2 infections," Documentos CEDE 19241, Universidad de los Andes, Facultad de Economía, CEDE.
    10. Alessandro Maria Selvitella & Kathleen Lois Foster, 2020. "Societal and economic factors associated with COVID-19 indicate that developing countries could suffer the most," Technium Social Sciences Journal, Technium Science, vol. 10(1), pages 637-644, August.
    11. Isabella Locatelli & Bastien Trächsel & Valentin Rousson, 2021. "Estimating the basic reproduction number for COVID-19 in Western Europe," PLOS ONE, Public Library of Science, vol. 16(3), pages 1-9, March.
    12. Tri Nguyen-Huu & Pierre Auger & Ali Moussaoui, 2023. "On Incidence-Dependent Management Strategies against an SEIRS Epidemic: Extinction of the Epidemic Using Allee Effect," Mathematics, MDPI, vol. 11(13), pages 1-25, June.
    13. Simón A. Rella & Yuliya A. Kulikova & Emmanouil T. Dermitzakis & Fyodor A. Kondrashov, 2021. "Rates of SARS-COV-2 transmission and vaccination impact the fate of vaccine-resistant strains," Working Papers 2129, Banco de España.

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