A study of the COVID-19 epidemic in India using the SEIRD model

Rudra Banerjee, Srijit Bhattacharjee, Pritish Kumar Varadwaj

PDF(12064 KB)
PDF(12064 KB)
Quant. Biol. ›› 2021, Vol. 9 ›› Issue (3) : 317-328. DOI: 10.15302/J-QB-021-0260
RESEARCH ARTICLE
RESEARCH ARTICLE

A study of the COVID-19 epidemic in India using the SEIRD model

Author information +
History +

Abstract

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.

Author summary

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.

Graphical abstract

Keywords

COVID-19 / SARS-CoV-2 / epidemic / statistical analysis / SEIRD model

Cite this article

Download citation ▾
Rudra Banerjee, Srijit Bhattacharjee, Pritish Kumar Varadwaj. A study of the COVID-19 epidemic in India using the SEIRD model. Quant. Biol., 2021, 9(3): 317‒328 https://doi.org/10.15302/J-QB-021-0260

References

[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 : 147–
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 : 201– 204
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 : 855– 860
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 : 911– 919
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 : e261– e270
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 : 967–
CrossRef Google scholar
[9]
Covid-19 in india. https://cddep.org/covid-19/hospital-capacity-in-india/. Accessed: 10 June, 2020
[10]
Bhatnagar. Prudent public health intervention strategies to control the coronavirus disease 2019 transmission in India: A mathematical model-based approach. Indian J. Med. Res., 2020, 151 : 190– 199
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 : 577– 582
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 : 514– 523
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 : 2000062d–
CrossRef Google scholar
[14]
Ferretti. Quantifying SARS-CoV-2 transmission suggests epidemic control with digital contact tracing. Science, 2020, 368 : eabb6936–
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 : 1199– 1207
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 : 131– 140
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 : 2539–
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 : 509– 516
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 : 1966– 1970
CrossRef Google scholar

ACKNOWLEDGEMENTS

We acknowledge the infrastructural supports provided by IIIT Allahabad, where this study was conducted during the lockdown period.

COMPLIANCE WITH ETHICS GUIDELINES

The authors Rudra Banerjee, Srijit Bhattacharjee and Pritish Kumar Varadwaj declare that they have no conflict of interests.
All procedures performed in studies were in accordance with the ethical standards of the institution or practice at which the studies were conducted.

OPEN ACCESS

This article is licensed by the CC By under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

RIGHTS & PERMISSIONS

2021 The Author(s) 2021. Published by Higher Education Press.
AI Summary AI Mindmap
PDF(12064 KB)

Accesses

Citations

Detail

Sections
Recommended

/