Qualitative analysis and chaotic behavior of respiratory syncytial virus infection in human with fractional operator

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dc.authoridSaleem, Prof. Dr. Muhammad Umer/0000-0002-2263-3373
dc.contributor.authorJamil, Saba
dc.contributor.authorBariq, Abdul
dc.contributor.authorFarman, Muhammad
dc.contributor.authorNisar, Kottakkaran Sooppy
dc.contributor.authorAkguel, Ali
dc.contributor.authorSaleem, Muhammad Umer
dc.date.accessioned2024-12-24T19:27:57Z
dc.date.available2024-12-24T19:27:57Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractRespiratory syncytial virus (RSV) is the cause of lung infection, nose, throat, and breathing issues in a population of constant humans with super-spreading infected dynamics transmission in society. This research emphasizes on examining a sustainable fractional derivative-based approach to the dynamics of this infectious disease. We proposed a fractional order to establish a set of fractional differential equations (FDEs) for the time-fractional order RSV model. The equilibrium analysis confirmed the existence and uniqueness of our proposed model solution. Both sensitivity and qualitative analysis were employed to study the fractional order. We explored the Ulam-Hyres stability of the model through functional analysis theory. To study the influence of the fractional operator and illustrate the societal implications of RSV, we employed a two-step Lagrange polynomial represented in the generalized form of the Power-Law kernel. Also, the fractional order RSV model is demonstrated with chaotic behaviors which shows the trajectory path in a stable region of the compartments. Such a study will aid in the understanding of RSV behavior and the development of prevention strategies for those who are affected. Our numerical simulations show that fractional order dynamic modeling is an excellent and suitable mathematical modeling technique for creating and researching infectious disease models.
dc.description.sponsorshipKing Saud University, Riyadh, Saudi Arabia [RSP2023R167]
dc.description.sponsorshipResearch Supporting Project number (RSP2023R167), King Saud University, Riyadh, Saudi Arabia.
dc.identifier.doi10.1038/s41598-023-51121-0
dc.identifier.issn2045-2322
dc.identifier.issue1
dc.identifier.pmid38272984
dc.identifier.scopus2-s2.0-85183057795
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1038/s41598-023-51121-0
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6845
dc.identifier.volume14
dc.identifier.wosWOS:001151714000037
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakPubMed
dc.language.isoen
dc.publisherNature Portfolio
dc.relation.ispartofScientific Reports
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.titleQualitative analysis and chaotic behavior of respiratory syncytial virus infection in human with fractional operator
dc.typeArticle

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