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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2023 (2023)

Commun. Math. Biol. Neurosci. 2023 (2023), Article ID 26

Stability analysis of a nonlinear mathematical model for COVID-19 transmission dynamics

Padma Bhushan Borah, Bhagya Jyoti Nath, Kumud Chandra Nath, Hemanta Kumar Sarmah

PDF (378.4 KB) https://doi.org/10.28919/cmbn/7795

Abstract

The whole world had been plagued by the COVID-19 pandemic. It was first detected in the Wuhan city of China in December 2019, and has then spread worldwide. It has affected each one of us in the worst possible way. In the current study, a differential equation-based mathematical model is proposed. The present model highlights the infection dynamics of the COVID-19 spread taking hospitalization into account. The basic reproduction number is calculated. This is a crucial indicator of the outcome of the COVID-19 dynamics. Local stability of the equilibrium points has been studied. Global stability of the model is proven using the Lyapunov second method and the LaSalle invariance principle. Sensitivity analysis of the model is performed to distinguish the factor responsible for the faster spread of the infection. Finally, the theoretical aspects have been corroborated via numerical simulations performed for various initial conditions and different values of the parameters.

Published
13 March 2023
Volume
2023 (2023)
License
CC BY 3.0

Copyright © 2023 Padma Bhushan Borah, Bhagya Jyoti Nath, Kumud Chandra Nath, Hemanta Kumar Sarmah. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

P. B. Borah, B. J. Nath, K. C. Nath, H. K. Sarmah, Stability analysis of a nonlinear mathematical model for COVID-19 transmission dynamics, Commun. Math. Biol. Neurosci. 2023 (2023), 26. https://doi.org/10.28919/cmbn/7795

BibTeX
@article{Borah2023,
  author  = {Borah, Padma Bhushan and Nath, Bhagya Jyoti and Nath, Kumud Chandra and Sarmah, Hemanta Kumar},
  title   = {Stability analysis of a nonlinear mathematical model for COVID-19 transmission dynamics},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2023},
  year    = {2023},
  pages   = {26},
  doi     = {10.28919/cmbn/7795}
}