A Finite Difference Scheme To Solve a Fractional Order Epidemic Model of Computer Virus
| dc.contributor.author | Iqbal, Zafar | |
| dc.contributor.author | Rehman, Muhammad Aziz-ur | |
| dc.contributor.author | Imran, Muhammad | |
| dc.contributor.author | Ahmed, Nauman | |
| dc.contributor.author | Fatima, Umbreen | |
| dc.contributor.author | Akgul, Ali | |
| dc.contributor.author | Jarad, Fahd | |
| dc.date.accessioned | 2023-11-22T11:51:29Z | |
| dc.date.accessioned | 2025-09-18T14:09:18Z | |
| dc.date.available | 2023-11-22T11:51:29Z | |
| dc.date.available | 2025-09-18T14:09:18Z | |
| dc.date.issued | 2023 | |
| dc.description | Ur-Rehman, Aziz-/0009-0007-4185-7675; Rafiq, Muhammad/0000-0002-2165-3479 | en_US |
| dc.description.abstract | In this article, an analytical and numerical analysis of a computer virus epidemic model is presented. To more thoroughly examine the dynamics of the virus, the classical model is transformed into a fractional order model. The Caputo differential operator is applied to achieve this. The Jacobian approach is employed to investigate the model's stability. To investigate the model's numerical solution, a hybridized numerical scheme called the Grunwald Letnikov nonstandard finite difference (GL-NSFD) scheme is created. Some essential characteristics of the population model are scrutinized, including positivity boundedness and scheme stability. The aforementioned features are validated using test cases and computer simulations. The mathematical graphs are all detailed. It is also investigated how the fundamental reproduction number R0 functions in stability analysis and illness dynamics. | en_US |
| dc.identifier.citation | Iqbal, Zafar...et al. (2023). "A finite difference scheme to solve a fractional order epidemic model of computer virus", Aims Mathematics, Vol.8, No. 1, pp.2337-2359. | en_US |
| dc.identifier.doi | 10.3934/math.2023121 | |
| dc.identifier.issn | 2473-6988 | |
| dc.identifier.scopus | 2-s2.0-85140872661 | |
| dc.identifier.uri | https://doi.org/10.3934/math.2023121 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13349 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Mathematical Sciences-aims | en_US |
| dc.relation.ispartof | AIMS Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Computer Virus | en_US |
| dc.subject | Fractional Order System | en_US |
| dc.subject | Grunwald Letinkov Technique | en_US |
| dc.subject | Nonstandard Finite Differences | en_US |
| dc.subject | Simulations | en_US |
| dc.title | A Finite Difference Scheme To Solve a Fractional Order Epidemic Model of Computer Virus | en_US |
| dc.title | A finite difference scheme to solve a fractional order epidemic model of computer virus | tr_TR |
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| gdc.author.id | Ur-Rehman, Aziz-/0009-0007-4185-7675 | |
| gdc.author.id | Rafiq, Muhammad/0000-0002-2165-3479 | |
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| gdc.author.wosid | Rafiq, Muhammad/Gnw-5095-2022 | |
| gdc.author.wosid | Imran, Muhammad/M-9992-2013 | |
| gdc.author.wosid | Rehman, Muhammad/Iun-6032-2023 | |
| gdc.author.wosid | Akgül, Ali/F-3909-2019 | |
| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Ahmed, Nauman/Aea-3375-2022 | |
| gdc.author.wosid | Raza, Ali/Abe-1951-2021 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Iqbal, Zafar; Imran, Muhammad; Ahmed, Nauman] Univ Lahore, Dept Math & Stat, Lahore, Pakistan; [Rehman, Muhammad Aziz-ur] Univ Management & Technol, Dept Math, Lahore, Pakistan; [Fatima, Umbreen] Univ Lahore, Dept Comp Sci, Lahore, Pakistan; [Akgul, Ali] Siirt Univ, Art & Sci Fac, Dept Math, Siirt, Turkiye; [Akgul, Ali; Rafiq, Muhammad] Near East Univ, Math Res Ctr, Dept Math, Near East Blvd,Mersin 10, Nicosia TR-99138, Turkiye; [Rafiq, Muhammad] Univ Cent Punjab, Fac Sci & Technol, Dept Math, Lahore, Pakistan; [Raza, Ali] Govt Punjab, Govt Maulana Zafar Ali Khan Grad Coll Wazirabad, Dept Math, Punjab Higher Educ Dept PHED Lahore, Lahore 54000, Pakistan; [Djuraev, Ali Asrorovich] Uzbek Natl Mus Art Inst, Dept Training Pedagogues Vocal & Instrumental Per, Tashkent, Uzbekistan; [Jarad, Fahd] Cankaya Univ, Ankara, Turkiye; [Jarad, Fahd] King Abdulaziz Univ, Dept Math, Jeddah, Saudi Arabia; [Jarad, Fahd] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan | en_US |
| gdc.description.endpage | 2359 | en_US |
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