Epidemiological Analysis of Symmetry in Transmission of the Ebola Virus with Power Law Kernel

dc.authoridde la Sen, manuel/0000-0001-9320-9433
dc.authoridFarman, Dr. Muhamamd/0000-0001-7616-0500
dc.contributor.authorHasan, Ali
dc.contributor.authorAkgul, Ali
dc.contributor.authorFarman, Muhammad
dc.contributor.authorChaudhry, Faryal
dc.contributor.authorSultan, Muhammad
dc.contributor.authorDe la sen, Manuel
dc.date.accessioned2024-12-24T19:33:47Z
dc.date.available2024-12-24T19:33:47Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractThis study presents a mathematical model of non-integer order through the fractal fractional Caputo operator to determine the development of Ebola virus infections. To construct the model and conduct analysis, all Ebola virus cases are taken as incidence data. A symmetric approach is utilized for qualitative and quantitative analysis of the fractional order model. Additionally, stability is evaluated, along with the local and global effects of the virus that causes Ebola. Using the fractional order model of Ebola virus infections, the existence and uniqueness of solutions, as well the posedness and biological viability and disease free equilibrium points are confirmed. Many applications of fractional operators in modern mathematics exist, including the intricate and important study of symmetrical systems. Symmetry analysis is a powerful tool that enables the creation of numerical solutions for a given fractional differential equation very methodically. For this, we compare the results with the Caputo derivative operator to understand the dynamic behavior of the disease. The simulation demonstrates how all classes have convergent characteristics and maintain their places over time, reflecting the true behavior of Ebola virus infection. Power law kernel with the two step polynomial Newton method were used. This model seems to be quite strong and capable of reproducing the issue's anticipated theoretical conditions.
dc.description.sponsorshipBasque Government [IT1555-22, KK-2022/00090]; MCIN/AEI/FEDER,UE [PID2021-1235430B-C22]; [PID2021-1235430B-C21]
dc.description.sponsorshipBasque Government:Grant IT1555-22 Basque Government: Grant KK-2022/00090 MCIN/AEI 269.10.13039/501100011033/FEDER,UE: Grant PID2021-1235430B-C21 MCIN/AEI 269.10.13039/501100011033/FEDER,UE: Grant PID2021-1235430B-C22.
dc.identifier.doi10.3390/sym15030665
dc.identifier.issn2073-8994
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85151701696
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/sym15030665
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8292
dc.identifier.volume15
dc.identifier.wosWOS:000959237500001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofSymmetry-Basel
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectEbola model
dc.subjectCaputo fractional operator
dc.subjectwell posedness
dc.subjectpositivity
dc.subjectuniqueness
dc.subjectstability
dc.subjectsimulation
dc.titleEpidemiological Analysis of Symmetry in Transmission of the Ebola Virus with Power Law Kernel
dc.typeArticle

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