THERMAL SCIENCE

International Scientific Journal

Nadia Gul

,

Anwar Zeb

,

Salih Djilali

,

Mazz Ullah

,

Zohreh Eskandari

,

Thitiporn Linitda

COVID-19 MODELLING WITH SQUARE ROOT SUSCEPTIBLE-INFECTED INTERACTION

ABSTRACT
We propose a COVID-19 mathematical model related to functional shape with square root susceptible-infected interaction. Using the Hurwitz criterion and then a graph theoretical-method for the construction of a Lyapunov function, we discuss both local and global stability. The analytical solution of the system is obtained in a special case. A non-standard finite difference scheme is then developed with the aim to obtain a proper discrete-time version of the model. Simulations show a good agreement between the proposed discretization and the results given by standard numerical methods.
KEYWORDS
COVID model, square-root function, numerical solution, stability analysis non-standard finite difference scheme
PAPER SUBMITTED: 2022-04-15
PAPER REVISED: 2022-05-25
PAPER ACCEPTED: 2022-06-01
PUBLISHED ONLINE: 2023-04-08
DOI REFERENCE: https://doi.org/10.2298/TSCI23S1323G
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Special issue 1, PAGES [323 - 332]
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COVID-19 modelling with square root susceptible-infected interaction

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence