Mathematical analysis on the dynamics of COVID-19 in India using SIR Epidemic Model

Authors

  • MA Khanday University of Kashmir
  • Faizan Zargar

DOI:

https://doi.org/10.12723/mjs.54.1

Keywords:

COVID-19, Coronavirus, Mathematical Modeling, SARS-CoV-2

Abstract

The Coronavirus Disease (COVID-19), the outbreak of which emerged from the Wuhan city of China, is a matter of huge concern for the entire human race. The disease as on August 4, 2020 has invaded around 18.6 million population causing over half a million deaths worldwide and counting.  To understand the dynamics of this communicable disease and its transmission among the people in India, a mathematical model governed by ordinary differential equations with appropriate conditions has been established. The model is based on SIR (Susceptible-Infected-Removed) scheme to understand the behavior of susceptible, infective and removed (both recovered and deceased) population in India. The resulting model has been simulated using MATLAB software. The results obtained in this model are interpreted graphically and least squares method is used to predict the transmission rate, recovery rate and mortality rate in the absence of any vaccine/immunization.

References

Tanu Singhal. A review of coronavirus disease-2019 (COVID-19). The Indian Journal of Pediatrics, 1-6, 2020.

https://en.wikipedia.org/wiki/COVID-19 pandemic lockdown in India. Last accessed 04/08/2020.

Rajesh Rajan. PREDICTIONS FOR COVID-19 OUTBREAK IN INDIA USING EPIDEMOLOGICAL MODELS. medRxiv 1-11, 2020.

https:www.covid19india.org. Last accessed 04/08/2020.

Fred Brauer, Paulone van den Driessche, Jianhong Wu. Mathematical Epidemiology. Springer, 2015.

Fred Brauer, Carlos Castillo-Chavez. Mathematical Models in Population Biology and Epidemiology. Second Edition, Springer, 2012.

Wolfgang Arhens, Iris Pigeot. Handbook of Epidemiology. Springer, 2005.

Kermack, W.O., McKendrick, A.G. A Contribution to the Mathematical Theory of Epidemics. Proc. R. Soc. A 1927, 117, 700-721.

https://en.wikipedia.org/wiki/Demographics of India. Last accessed 04/08/2020.

https://en.wikipedia.org/wiki/COVID-19 pandemic in India. Last accessed 04/08/2020.

Howard (Howie) Weiss. The SIR model and the Foundations of Public Health. MATerials MAThematics, 2013 (3), 17.

Additional Files

Published

2020-08-06