Estimation of the basic reproduction number (����0) of the COVID-19 epidemic in Iran.

Seyyedeh Sara Azimi, Fatemeh Koohi, Mohammad Aghaali, Roya Nikbakht, Maryam Mahdavi, Yaser Mokhayeri, Rasool Mohammadi, Niloufar Taherpour, Mehran Nakhaeizadeh, Davood Khalili, Hamid Sharifi, Seyed Saeed Hashemi Nazari
Author Information
  1. Seyyedeh Sara Azimi: Student Research Committee, Department of Epidemiology, School of Public Health and Safety, Shahid Beheshti University of Medical Sciences, Tehran, Iran.
  2. Fatemeh Koohi: Department of Epidemiology, School of Health, Qom University of Medical Sciences, Qom, Iran.
  3. Mohammad Aghaali: Department of Epidemiology, School of Health, Qom University of Medical Sciences, Qom, Iran.
  4. Roya Nikbakht: Department of Biostatistics, Faculty of Health, Mazandaran University of Medical Sciences, Sari, Iran.
  5. Maryam Mahdavi: Obesity Research Center, Research Institute for Endocrine Sciences, Shahid Beheshti University of Medical Sciences, Tehran, Iran.
  6. Yaser Mokhayeri: Department of Epidemiology and Biostatistics, School of Public Health and Nutrition, Lorestan University of Medical Sciences, Khorramabad, Iran.
  7. Rasool Mohammadi: Department of Epidemiology and Biostatistics, School of Public Health and Nutrition, Lorestan University of Medical Sciences, Khorramabad, Iran.
  8. Niloufar Taherpour: Department of Epidemiology, School of Public Health and Safety, Shahid Beheshti University of Medical Sciences, Tehran, Iran.
  9. Mehran Nakhaeizadeh: Modeling in Health Research Center, Institute for Futures Studies in Health, Kerman University of Medical Sciences, Kerman, Iran.
  10. Davood Khalili: Prevention of Metabolic Disorders Research Center, Research Institute for Endocrine Sciences, Shahid Beheshti University of Medical Sciences, Tehran, Iran.
  11. Hamid Sharifi: HIV/STI Surveillance Research Center, and WHO Collaborating Center for HIV Surveillance, Institute for Futures Studies in Health, Kerman University of Medical Sciences, Kerman, Iran.
  12. Seyed Saeed Hashemi Nazari: Prevention of Cardiovascular Disease Research Center, Department of Epidemiology, School of Public Health and Safety, Shahid Beheshti University of Medical Sciences, Tehran, Iran. ORCID

Abstract

Estimation of the basic reproduction number of an infectious disease is an important issue for controlling the infection. Here, we aimed to estimate the basic reproduction number (����0) of COVID-19 in Iran. To estimate ����0 in Iran and Tehran, the capital, we used 3 different methods: exponential growth rate, maximum likelihood, and Bayesian time-dependent. Daily number of confirmed cases and serial intervals with a mean of 4.27 days and a standard deviation of 3.44 days with gamma distribution were used. Sensitivity analysis was performed to show the importance of generation time in estimating ����0. The epidemic was in its exponential growth 11 days after the beginning of the epidemic (Feb 19, 2020) with doubling time of 1.74 (CI: 1.58-1.93) days in Iran and 1.83 (CI: 1.39-2.71) in Tehran. Nationwide, the value of ����0 from February 19 to 29 using exponential growth method, maximum likelihood, and Bayesian time-dependent methods was 4.70 (95% CI: 4.23-5.23), 3.90 (95% CI: 3.47- 4.36), and 3.23 (95% CI: 2.94-3.51), respectively. In addition, in Tehran, ����0 was 5.14 (95% CI: 4.15-6.37), 4.20 (95% CI: 3.38-5.14), and 3.94 (95% CI: 3.45-4.40) for exponential growth, maximum likelihood, and Bayesian time-dependent methods, respectively. Bayesian time dependent methods usually provide less biased estimates. The results of sensitivity analyses demonstrated that changes in the mean generation time affect estimates of ����0. The estimate of ����0 for the COVID-19 ranged from 3.94 to 5.14 in Tehran and from 3.23 to 4.70 in nationwide using different methods, which were significantly larger than 1, indicating the potential of COVID-19 to cause an outbreak.

Keywords

References

  1. Lancet. 2020 Feb 15;395(10223):514-523 [PMID: 31986261]
  2. J Evid Based Med. 2020 Feb;13(1):3-7 [PMID: 32048815]
  3. Infect Dis Model. 2020 Feb 11;5:248-255 [PMID: 32099934]
  4. Int J Hyg Environ Health. 2020 Jul;228:113555 [PMID: 32460229]
  5. Lancet Infect Dis. 2020 Aug;20(8):911-919 [PMID: 32353347]
  6. Theor Popul Biol. 2018 Feb;119:26-36 [PMID: 29102543]
  7. Innovation (Camb). 2020 Nov 25;1(3):100048 [PMID: 33521762]
  8. Euro Surveill. 2020 Jan;25(4): [PMID: 32019669]
  9. Arch Acad Emerg Med. 2020 Mar 25;8(1):e38 [PMID: 32259127]
  10. PLoS One. 2008 May 14;3(5):e2185 [PMID: 18478118]
  11. J Travel Med. 2020 Mar 13;27(2): [PMID: 32052846]
  12. Lancet. 2020 Feb 15;395(10223):497-506 [PMID: 31986264]
  13. Sci China Life Sci. 2020 Mar;63(3):457-460 [PMID: 32009228]
  14. Lancet Infect Dis. 2017 Dec;17(12):e420-e428 [PMID: 28757186]
  15. BMC Med Inform Decis Mak. 2012 Dec 18;12:147 [PMID: 23249562]
  16. Philos Trans R Soc Lond B Biol Sci. 2021 Jul 19;376(1829):20200265 [PMID: 34053269]
  17. J Clin Med. 2020 Feb 07;9(2): [PMID: 32046137]
  18. N Engl J Med. 2020 Mar 26;382(13):1199-1207 [PMID: 31995857]
  19. Emerg Infect Dis. 2019 Jan;25(1):1-4 [PMID: 30560777]
  20. Influenza Other Respir Viruses. 2009 Nov;3(6):267-76 [PMID: 19903209]
  21. Int J Infect Dis. 2020 Apr;93:284-286 [PMID: 32145466]
  22. Lancet. 2020 Feb 29;395(10225):689-697 [PMID: 32014114]
  23. Arch Acad Emerg Med. 2020 Mar 22;8(1):e32 [PMID: 32259124]
  24. J Res Med Sci. 2019 Jul 24;24:67 [PMID: 31523253]
  25. Int J Infect Dis. 2020 Mar;92:214-217 [PMID: 32007643]

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