On the Analysis of a Fractional Tuberculosis Model with the Effect of an Imperfect Vaccine and Exogenous Factors under the Mittag-Leffler Kernel

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dc.contributor.authorAhmad, Saeed
dc.contributor.authorPak, Sedat
dc.contributor.authorRahman, Mati ur
dc.contributor.authorAl-Bossly, Afrah
dc.date.accessioned2024-02-23T14:35:09Z
dc.date.available2024-02-23T14:35:09Z
dc.date.issued2023
dc.departmentNEÜen_US
dc.description.abstractThis research study aims to investigate the effects of vaccination on reducing disease burden by analyzing a complex nonlinear ordinary differential equation system. The study focuses on five distinct sub-classes within the system to comprehensively explore the impact of vaccination. Specifically, the mathematical model employed in this investigation is a fractional representation of tuberculosis, utilizing the Atangana-Baleanu fractional derivative in the Caputo sense. The validity of the proposed model is established through a rigorous qualitative analysis. The existence and uniqueness of the solution are rigorously determined by applying the fundamental theorems of the fixed point approach. The stability analysis of the model is conducted using the Ulam-Hyers approach. Additionally, the study employs the widely recognized iterative Adams-Bashforth technique to obtain an approximate solution for the suggested model. The numerical simulation of the tuberculosis model is comprehensively discussed, with a particular focus on the assumptions made regarding vaccination. The model assumes that only a limited portion of the population is vaccinated at a steady rate, and the efficacy of the vaccine is a critical factor in reducing disease burden. The findings of the study indicate that the proposed model can effectively assess the impact of vaccination on mitigating the spread of tuberculosis. Furthermore, the numerical simulation underscores the significance of vaccination as an effective control measure against tuberculosis.en_US
dc.description.sponsorshipPrince Sattam bin Abdulaziz University [PSAU/2023/R/1444]en_US
dc.description.sponsorshipThis study is supported via funding from Prince Sattam bin Abdulaziz University project number (PSAU/2023/R/1444).en_US
dc.identifier.doi10.3390/fractalfract7070526
dc.identifier.issn2504-3110
dc.identifier.issue7en_US
dc.identifier.scopus2-s2.0-85165960263en_US
dc.identifier.urihttps://doi.org/10.3390/fractalfract7070526
dc.identifier.urihttps://hdl.handle.net/20.500.12452/15904
dc.identifier.volume7en_US
dc.identifier.wosWOS:001035317000001en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofFractal And Fractionalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSveir Tb Modelen_US
dc.subjectQualitative Analysisen_US
dc.subjectStability Analysisen_US
dc.subjectAbc Fractional Derivativeen_US
dc.subjectAdam-Bashforth Methoden_US
dc.subjectNumerical Simulationen_US
dc.titleOn the Analysis of a Fractional Tuberculosis Model with the Effect of an Imperfect Vaccine and Exogenous Factors under the Mittag-Leffler Kernelen_US
dc.typeArticleen_US

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