A SARS-CoV-2 Fractional-Order Mathematical Model via the Modified Euler Method
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Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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.
Açıklama
Anahtar Kelimeler
SARS-CoV-2, Banach mapping contraction principle, local stability, global stability, Modified Euler Method
Kaynak
Mathematical and Computational Applications
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
27
Sayı
5
