A fractal-fractional sex structured syphilis model with three stages of infection and loss of immunity with analysis and modeling

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dc.authoridShehzad, Aamir/0009-0007-7995-2141
dc.contributor.authorFarman, Muhammad
dc.contributor.authorShehzad, Aamir
dc.contributor.authorAkgul, Ali
dc.contributor.authorHincal, Evren
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorEl Din, Sayed M.
dc.date.accessioned2024-12-24T19:27:43Z
dc.date.available2024-12-24T19:27:43Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractTreponema pallidum, a spiral-shaped bacterium, is responsible for the sexually transmitted disease syphilis. Millions of people in less developed countries are getting the disease despite the accessibility of effective preventative methods like condom use and effective and affordable treatment choices. The disease can be fatal if the patient does not have access to adequate treatment. Prevalence has hovered between endemic levels in industrialized countries for decades and is currently rising. Using the Mittag-Leffler kernel, we develop a fractal-fractional model for the syphilis disease. Qualitative as well as quantitative analysis of the fractional order system are performed. Also, fixed point theory and the Lipschitz condition are used to fulfill the criteria for the existence and uniqueness of the exact solution. We illustrate the system's Ulam-Hyers stability for disease-free and endemic equilibrium. The analytical solution is supported by numerical simulations that show how the dynamics of the spread of syphilis within the population are influenced by fractional-order derivatives. The outcomes show that the suggested methods are effective in delivering better results. Overall, this research helps to develop more precise and comprehensive approaches to understanding and regulating syphilis disease transmission and progression.
dc.identifier.doi10.1016/j.rinp.2023.107098
dc.identifier.issn2211-3797
dc.identifier.scopus2-s2.0-85175629878
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.rinp.2023.107098
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6757
dc.identifier.volume54
dc.identifier.wosWOS:001110644800001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofResults in Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectSyphilis disease model
dc.subjectQualitative analysis
dc.subjectUlam-Hyers stability
dc.subjectTwo-step lagrange polynomial
dc.subjectMittag-Leffler kernel
dc.titleA fractal-fractional sex structured syphilis model with three stages of infection and loss of immunity with analysis and modeling
dc.typeArticle

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