A SARS-CoV-2 Fractional-Order Mathematical Model via the Modified Euler Method
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 reproduct...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-09-01
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| Series: | Mathematical and Computational Applications |
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| Online Access: | https://www.mdpi.com/2297-8747/27/5/82 |
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| author | Ihtisham Ul Haq Mehmet Yavuz Nigar Ali Ali Akgül |
| author_facet | Ihtisham Ul Haq Mehmet Yavuz Nigar Ali Ali Akgül |
| author_sort | Ihtisham Ul Haq |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-09T19:52:26Z |
| format | Article |
| id | doaj.art-ac8990c76cbc4054997f7672fe24a814 |
| institution | Directory Open Access Journal |
| issn | 1300-686X 2297-8747 |
| language | English |
| last_indexed | 2024-03-09T19:52:26Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematical and Computational Applications |
| spelling | doaj.art-ac8990c76cbc4054997f7672fe24a8142023-11-24T01:08:50ZengMDPI AGMathematical and Computational Applications1300-686X2297-87472022-09-012758210.3390/mca27050082A SARS-CoV-2 Fractional-Order Mathematical Model via the Modified Euler MethodIhtisham Ul Haq0Mehmet Yavuz1Nigar Ali2Ali Akgül3Department of Mathematics, University of Malakand, Chakdara 18000, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics and Computer Sciences, Faculty of Science, Necmettin Erbakan University, Konya 42090, TürkiyeDepartment of Mathematics, University of Malakand, Chakdara 18000, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, Art and Science Faculty, Siirt University, Siirt 56100, TürkiyeThis 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.https://www.mdpi.com/2297-8747/27/5/82SARS-CoV-2Banach mapping contraction principlelocal stabilityglobal stabilityModified Euler Method |
| spellingShingle | Ihtisham Ul Haq Mehmet Yavuz Nigar Ali Ali Akgül A SARS-CoV-2 Fractional-Order Mathematical Model via the Modified Euler Method Mathematical and Computational Applications SARS-CoV-2 Banach mapping contraction principle local stability global stability Modified Euler Method |
| title | A SARS-CoV-2 Fractional-Order Mathematical Model via the Modified Euler Method |
| title_full | A SARS-CoV-2 Fractional-Order Mathematical Model via the Modified Euler Method |
| title_fullStr | A SARS-CoV-2 Fractional-Order Mathematical Model via the Modified Euler Method |
| title_full_unstemmed | A SARS-CoV-2 Fractional-Order Mathematical Model via the Modified Euler Method |
| title_short | A SARS-CoV-2 Fractional-Order Mathematical Model via the Modified Euler Method |
| title_sort | sars cov 2 fractional order mathematical model via the modified euler method |
| topic | SARS-CoV-2 Banach mapping contraction principle local stability global stability Modified Euler Method |
| url | https://www.mdpi.com/2297-8747/27/5/82 |
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