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

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

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.

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Published: 2023-03-13

How to Cite this Article:

Padma Bhushan Borah, Bhagya Jyoti Nath, Kumud Chandra Nath, Hemanta Kumar Sarmah, Stability analysis of a nonlinear mathematical model for COVID-19 transmission dynamics, Commun. Math. Biol. Neurosci., 2023 (2023), Article ID 26

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.

Commun. Math. Biol. Neurosci.

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