Abstract

   Coronavirus disease (COVID-19) has become a global pandemic with more than 218,000 deaths in 211 different countries around the world. Severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) is the virus responsible for this deadliest disease. This paper describes a mathematical model for India, a country with the second highest population in the world with an extremely high population density of about 464 people per km2. This disease has multiphasic actions and reaction mode and our model SEIAQIm is based on six compartmental groups in the form of susceptible, exposed, infectious, asymptomatic, quarantine, and recovered immune factions. Latin Hypercube Sampling Partial Rank Correlation Coefficient method was used for the data analysis and model fitting. According to our model, India would reach its basic reproduction number R0 = 0.97 on May 14, 2020 with a total number of 73,800 estimated cases. Further, this study also equates the world's situation using the same model system and predicts by May 7, 2020 with a total number of 3,772,000 estimated confirmed cases. Moreover, the current mathematical model highlights the importance of social distancing as an effective method of containing spread of COVID-19.

Keywords: India; World Populations; COVID-19; Peak Prediction; Reproduction Number; SEIAQIm Models

References

1. “COVID-19 coronavirus pandemic”. Worldometer (2020).
2. “Coronavirus disease 2019 (COVID-19) Situation Report”. World Health Organization (2020).
3. “Central Intelligence Agency”. The World Factbook (2020).
4. “Countries in the world by population”. Worldometer (2020).
5. https://www.covid19india.org/
6. B Paital., et al. “Inter nation social lockdown versus medical care against COVID-19, a mild environmental insight with special reference to India”. Science of the Total Environment 728 (2020): 138914.
7. https://informationisbeautiful.net/visualizations/covid-19-coronavirus-infographic-datapack/
8. Sinha Durgesh and Klahn Nicholas. “Mathematical Modeling Study of the 2020 CoVID-19 Outbreak in the United States”. SSRN (2020).
9. Chatterjee K., et al. “Healthcare impact of COVID-19 epidemic in India: A stochastic mathematical model”. Medical Journal Armed Forces India 2 (2020): 147-155.
10. https://www.worldometers.info/world-population/
11. https://www.worldometers.info/coronavirus/
12. https://ourworldindata.org/what-can-data-on-testing-tell-us-about-the-pandemic
13. Durgesh Nandini Sinha. “Mathematical Modeling to Estimate the Reproductive Number and the Outbreak Size of COVID-19: The case of India and the World”. PREPRINT (2020).

Citation

Citation: Durgesh Nandini Sinha. “Mathematical Modeling to Estimate the Reproductive Number and the Outbreak Size of COVID-19: The case of India and the World". Acta Scientific Microbiology 3.7 (2020): 112-119.

Copyright

Copyright: © 2020 Durgesh Nandini Sinha. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.