Epidemiological Analysis of Symmetry in Transmission of the Ebola Virus with Power Law Kernel
dc.contributor.author | Hasan, Ali | |
dc.contributor.author | Akgül, Ali | |
dc.contributor.author | Farman, Muhammad | |
dc.contributor.author | Chaudhry, Faryal | |
dc.contributor.author | Sultan, Muhammad | |
dc.contributor.author | De la Sen Parte, Manuel | |
dc.date.accessioned | 2023-03-30T15:22:36Z | |
dc.date.available | 2023-03-30T15:22:36Z | |
dc.date.issued | 2023-03-06 | |
dc.identifier.citation | Symmetry 15(3) : (2023) // Article ID 665 | es_ES |
dc.identifier.issn | 2073-8994 | |
dc.identifier.uri | http://hdl.handle.net/10810/60574 | |
dc.description.abstract | This 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. | es_ES |
dc.description.sponsorship | Basque 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. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | MDPI | es_ES |
dc.relation | info:eu-repo/grantAgreement/MICINN/PID2021-1235430B-C21 | es_ES |
dc.relation | info:eu-repo/grantAgreement/MICINN/PID2021-1235430B-C22 | es_ES |
dc.rights | info:eu-repo/semantics/openAccess | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
dc.subject | Ebola model | es_ES |
dc.subject | Caputo fractional operator | es_ES |
dc.subject | well posedness | es_ES |
dc.subject | positivity | es_ES |
dc.subject | uniqueness | es_ES |
dc.subject | stability | es_ES |
dc.subject | simulation | es_ES |
dc.title | Epidemiological Analysis of Symmetry in Transmission of the Ebola Virus with Power Law Kernel | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.date.updated | 2023-03-28T12:56:22Z | |
dc.rights.holder | © 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/ 4.0/). | es_ES |
dc.relation.publisherversion | https://www.mdpi.com/2073-8994/15/3/665 | es_ES |
dc.identifier.doi | 10.3390/sym15030665 | |
dc.departamentoes | Electricidad y electrónica | |
dc.departamentoeu | Elektrizitatea eta elektronika |
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Except where otherwise noted, this item's license is described as © 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/ 4.0/).