A SARS-CoV-2 Fractional-Order Mathematical Model via the Modified Euler Method
Open Access
- 26 September 2022
- journal article
- research article
- Published by MDPI AG in Mathematical and Computational Applications
- Vol. 27 (5), 82
- https://doi.org/10.3390/mca27050082
Abstract
This article develops a within-host viral kinetics model of SARS-CoV-2 under the Caputo fractional-order operator. We prove the results of the solution’s existence and uniqueness by using the Banach mapping contraction principle. Using the next-generation matrix method, we obtain the basic reproduction number. We analyze the model’s endemic and disease-free equilibrium points for local and global stability. Furthermore, we find approximate solutions for the non-linear fractional model using the Modified Euler Method (MEM). To support analytical findings, numerical simulations are carried out.Keywords
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