NUMERICAL STUDY FOR FRACTIONAL BI-MODAL 2019-nCOV SITR EPIDEMIC MODEL

Sara S. Alzaid, R. P. Chauhan (), Sunil Kumar and Badr Saad T. Alkahtani
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Sara S. Alzaid: Department of Mathematics, College of Science, King Saud University, P. O. Box 1142, Riyadh 11989, Saudi Arabia
R. P. Chauhan: Department of Mathematics, National Institute of Technology, Jamshedpur, 831014 Jharkhand, India
Sunil Kumar: Department of Mathematics, College of Science, King Saud University, P. O. Box 1142, Riyadh 11989, Saudi Arabia2Department of Mathematics, National Institute of Technology, Jamshedpur, 831014 Jharkhand, India3Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE4Department of Mathematics, University Centre for Research and Development, Chandigarh University, Gharuan, Mohali, Punjab, India
Badr Saad T. Alkahtani: Department of Mathematics, College of Science, King Saud University, P. O. Box 1142, Riyadh 11989, Saudi Arabia

FRACTALS (fractals), 2022, vol. 30, issue 08, 1-20

Abstract: Currently, the entire planet is suffering from a contagious epidemic infection, 2019-nCOV due to newly detected coronavirus. This is a lethal infectious virus that has destroyed thousands of lives all over the world. The important aim of this study is to investigate a susceptible-infected-treatment-recovered (SITR) model of coronavirus (2019-nCOV) with bi-modal virus spread in a susceptible population. The considered 2019-nCOV model is analyzed by two fractional derivatives: the Caputo and Atangana–Baleanu–Caputo (ABC). For the Caputo model, we present a few basic mathematical characteristics such as existence, positivity, boundedness and stability result for disease-free equilibria. The fixed-point principle is used to establish the existence and uniqueness conditions for the ABC model solution. We employed the Adams–Bashforth–Moulton (ABM) numerical technique for the Caputo model solution and the Toufik–Atangana (TA) numerical approach for the ABC model solution. Finally, using MATLAB, the simulation results are shown to highlight the impact of arbitrarily chosen fractional-order and model parameters on infection dynamics.

Keywords: SITR 2019-nCOV Model; Caputo Derivative; Atangana–Baleanu Derivative; Existence and Uniqueness; Numerical Simulations (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22402058

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