Dynamical Behavior of a Fractional Order Model for Within-Host SARS-CoV-2

Kaushik Dehingia, Ahmed A. Mohsen, Sana Abdulkream Alharbi, Reima Daher Alsemiry and Shahram Rezapour
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Kaushik Dehingia: Department of Mathematics, Sonari College, Sonari 785690, Assam, India
Ahmed A. Mohsen: Department of Mathematics, College of Education for Pure Science (Ibn Al-Haitham), University of Baghdad, Baghdad 10071, Iraq
Sana Abdulkream Alharbi: Department of Mathematics & Statistics, College of Science, Taibah University, Yanbu 41911, Almadinah Almunawarah, Saudi Arabia
Reima Daher Alsemiry: Department of Mathematics & Statistics, College of Science, Taibah University, Yanbu 41911, Almadinah Almunawarah, Saudi Arabia
Shahram Rezapour: Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz 53751-71379, Iran

Mathematics, 2022, vol. 10, issue 13, 1-15

Abstract: The prime objective of the current study is to propose a novel mathematical framework under the fractional-order derivative, which describes the complex within-host behavior of SARS-CoV-2 by taking into account the effects of memory and carrier. To do this, we formulate a mathematical model of SARS-CoV-2 under the Caputo fractional-order derivative. We derived the conditions for the existence of equilibria of the model and computed the basic reproduction number R 0 . We used mathematical analysis to establish the proposed model’s local and global stability results. Some numerical resolutions of our theoretical results are presented. The main result of this study is that as the fractional derivative order increases, the approach of the solution to the equilibrium points becomes faster. It is also observed that the value of R 0 increases as the value of β and π v increases.

Keywords: SARS-CoV-2; fractional order; local stability; global stability; basic reproduction number (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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