Browsing by Author "Mazz Ullah"

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    COVID-19 MODELLING WITH SQUARE ROOT SUSCEPTIBLE-INFECTED INTERACTION
    (Serbian Society of Heat Transfer Engineers, 2023) Nadia Gul; Anwar Zeb; Salih Djilali; Mazz Ullah; Zohreh Eskandari; Thitiporn Linitda; A. Zeb; Department of Mathematics, COMSATS University Islamabad, Abbottabad, Pakistan; email: thitiporn_lin@dusit.ac.th; T. Linitda; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, Thailand; email: anwar@cuiatd.edu.pk
    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. © 2023 Society of Thermal Engineers of Serbia Published by the Vin_a Institute of Nuclear Sciences, Belgrade, Serbia. This is an open access article distributed under the CC BY-NC-ND 4.0 terms and conditions