Global Properties of a Discrete SARS-CoV-2/HIV Co-Dynamics Model

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DOI: https://doi.org/10.28924/2291-8639-22-2024-69
Published: Apr 22, 2024
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M. A. Alshaikh, A. K. Aljahdali, Global Properties of a Discrete SARS-CoV-2/HIV Co-Dynamics Model, Int. J. Anal. Appl., 22 (2024), 69.

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M. A. Alshaikh, A. K. Aljahdali

Abstract

Coronavirus disease 2019 (COVID-19), which is caused by the virus known as severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), is a respiratory disease. In this paper, we analyze the global stability of a discrete SARS-CoV-2/HIV co-dynamics model. We create the discrete model by applying a nonstandard finite difference (NSFD) method. We demonstrate that NSFD retains essential solution properties, including positivity and boundedness. We determine the fixed points and identify their existence conditions. We investigate the global stability of these fixed points through the application of the Lyapunov method. To complement our analytical findings, we present numerical simulations.

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