A study of the COVID-19 epidemic in India using the SEIRD model
Rudra Banerjee, Srijit Bhattacharjee, Pritish Kumar Varadwaj
A study of the COVID-19 epidemic in India using the SEIRD model
Background: The coronavirus pandemic (COVID-19) is causing a havoc globally, exacerbated by the newly discovered SARS-CoV-2 virus. Due to its high population density, India is one of the most badly effected countries from the first wave of COVID-19. Therefore, it is extremely necessary to accurately predict the state-wise and overall dynamics of COVID-19 to get the effective and efficient organization of resources across India.
Methods: In this study, the dynamics of COVID-19 in India and several of its selected states with different demographic structures were analyzed using the SEIRD epidemiological model. The basic reproductive ratio R 0 was systemically estimated to predict the dynamics of the temporal progression of COVID-19 in India and eight of its states, Andhra Pradesh, Chhattisgarh, Delhi, Gujarat, Madhya Pradesh, Maharashtra, Tamil Nadu, and Uttar Pradesh.
Results: For India, the SEIRD model calculations show that the peak of infection is expected to appear around the middle of October, 2020. Furthermore, we compared the model scenario to a Gaussian fit of the daily infected cases and obtained similar results. The early imposition of a nation-wide lockdown has reduced the number of infected cases but delayed the appearance of the infection peak significantly.
Conclusion: After comparing our calculations using India’s data to the real life dynamics observed in Italy and Russia, we can conclude that the SEIRD model can predict the dynamics of COVID-19 with sufficient accuracy.
The first step in combating a contagious disease, such as COVID-19, is to obtain accurate predictions of its dynamics. This is especially crucial for large countries like India, with highly diversified states. This paper would demonstrate how one can predict the spread of COVID-19 using the SEIRD model. Our calculations indicate that the first wave of COVID-19 in India would stop by the end of October of 2020, with varying dates for the different states.
COVID-19 / SARS-CoV-2 / epidemic / statistical analysis / SEIRD model
[1] |
WHO director-general’s remarks at the media briefing on covid-19. https://www.who.int/dg/speeches/detail/who-director-general-s-opening-remarks-at-the-media-briefing-on-covid-19-11-march-2020 (2020). Accessed: 24 June, 2020
|
[2] |
Joshi, A. and Paul, S. (2020) Phylogenetic analysis of the novel coronavirus reveals important variants in Indian strains. bioRxiv, 2020.04.14.041301
|
[3] |
ObadiaT., Haneef, R. , Boëlle, P. Y.. The R0 package: a toolbox to estimate reproduction numbers for epidemic outbreaks. BMC Med. Inform. Decis. Mak., 2012, 12
CrossRef
Google scholar
|
[4] |
ZhangS., Diao, M., Yu, W., Pei, L., Lin, Z. , Chen, D.. Estimation of the reproductive number of novel coronavirus (COVID-19) and the probable outbreak size on the Diamond Princess cruise ship: A data-driven analysis. Int. J. Infect. Dis., 2020, 93
CrossRef
Google scholar
|
[5] |
GiordanoG., Blanchini, F., Bruno, R., Colaneri, P., Di Filippo, A., Di Matteo, A. , Colaneri, M.. Modelling the COVID-19 epidemic and implementation of population-wide interventions in Italy. Nat. Med., 2020, 26
CrossRef
Google scholar
|
[6] |
BiQ., Wu, Y., Mei, S., Ye, C., Zou, X., Zhang, Z., Liu, X., Wei, L., Truelove, S. A., Zhang, T.. Epidemiology and transmission of COVID-19 in 391 cases and 1286 of their close contacts in Shenzhen, China: a retrospective cohort study. Lancet Infect. Dis., 2020, 20
CrossRef
Google scholar
|
[7] |
PremW., K.J., Liu M., Y.Centre for the Mathematical Modelling of Infectious Diseases COVID-19 Working Group. The effect of control strategies to reduce social mixing on outcomes of the COVID-19 epidemic in Wuhan, China: a modelling study. Lancet Public Health, 2020, 5
CrossRef
Google scholar
|
[8] |
ParkM., Cook, A. R., Lim, J. T., Sun, Y. , Dickens, B. L.. A systematic review of COVID-19 epidemiology based on current evidence. J. Clin. Med., 2020, 9
CrossRef
Google scholar
|
[9] |
Covid-19 in india. https://cddep.org/covid-19/hospital-capacity-in-india/. Accessed: 10 June, 2020
|
[10] |
Bhatnagar
CrossRef
Google scholar
|
[11] |
LauerA., S.H., Grantz K., K.R., BiS., Q. G.. The incubation period of coronavirus disease 2019 (COVID-19) from publicly reported confirmed cases: estimation and application. Ann. Intern. Med., 2020, 172
CrossRef
Google scholar
|
[12] |
ChanF. W., J.H., Yuan K. W., S. C. Y., Kok W. S.. A familial cluster of pneumonia associated with the 2019 novel coronavirus indicating person-to-person transmission: a study of a family cluster. Lancet, 2020, 395
CrossRef
Google scholar
|
[13] |
BackerJ. A., Klinkenberg, D. , Wallinga, J.. Incubation period of 2019 novel coronavirus (2019-nCoV) infections among travellers from Wuhan, China, 20−28 January 2020. Euro Surveill., 2020, 25
CrossRef
Google scholar
|
[14] |
Ferretti
CrossRef
Google scholar
|
[15] |
LiS. M., Q.H. Y., GuanY.. Early transmission dynamics in Wuhan, China, of novel coronavirus–infected pneumonia. N. Engl. J. Med., 2020, 382
CrossRef
Google scholar
|
[16] |
MandalM. , Mandal, S.. COVID-19 early pandemic scenario in India compared to China and rest of the world: a data driven and model analysis. World J. Advan. Res. Rev., 2020, 7
CrossRef
Google scholar
|
[17] |
Chatterjee, S., Sarkar, A., Chatterjee, S., Karmakar, M. and Paul, R. (2020) Studying the progress of COVID-19 outbreak in India using SIRD model. Indian J. Phys., https://doi.org/10.1007/s12648-020-01766-8
|
[18] |
Woelfel, R., Corman, V. M., Guggemos, W., Seilmaier, M., Zange, S., Mueller, M. A., Niemeyer, D., Vollmar, P., Rothe, C., Hoelscher, M., et al. (2020) Virological assessment of hospitalized cases of coronavirus disease 2019. medRxiv, 2020.03.05.20030502
|
[19] |
YamauchiT., Takeuchi, S., Yamano, Y. , Nakadate, T.. Estimation of the effective reproduction number of influenza based on weekly reports in Miyazaki Prefecture. Sci. Rep., 2019, 9
CrossRef
Google scholar
|
[20] |
Worldometers.info. Total coronavirus cases in india. https://www.worldometers.info/coronavirus/country/india/. Accessed: 12 June, 2020
|
[21] |
WallingaJ. , Teunis, P.. Different epidemic curves for severe acute respiratory syndrome reveal similar impacts of control measures. Am. J. Epidemiol., 2004, 160
CrossRef
Google scholar
|
[22] |
https://www.covid19india.org/. Accessed: 12 June, 2020
|
[23] |
Government of India. Covid-19 statewise status. https://www.mohfw.gov.in/. Accessed: 10 June, 2020
|
[24] |
Office of the Registrar General & Census Commissioner. India. Provisional population totals. https://censusindia.gov.in/. Accessed: 10 June, 2020
|
[25] |
Vynnycky, E. and White, R. (2010) An Introduction to Infectious Disease Modelling. London: Oxford University Press
|
[26] |
Anderson, R. and Robert, M. (1992) Infectious Diseases of Humans. London: Oxford University Press
|
[27] |
Cummings, D. and Lessler, J. (2007) Infectious disease dynamics. http://oncohemakey.com/infectious-disease-dynamics/. Accessed: 10 June, 2020
|
[28] |
LipsitchM., M.K., Cohen C., T.H.. Transmission dynamics and control of severe acute respiratory syndrome. Science, 2003, 300
CrossRef
Google scholar
|
/
〈 | 〉 |