Analysis of a fractional order Bovine Brucellosis disease model with discrete generalized Mittag-Leffler kernels

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dc.authoridAttia, Nourhane/0000-0002-9937-8665
dc.authoridHassan, Ahmed/0000-0002-1369-326X
dc.contributor.authorFarman, Muhammad
dc.contributor.authorShehzad, Aamir
dc.contributor.authorAkgul, Ali
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorAttia, Nourhane
dc.contributor.authorHassan, Ahmed M.
dc.date.accessioned2024-12-24T19:27:43Z
dc.date.available2024-12-24T19:27:43Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractBovine Brucellosis, a zoonotic disease, can infect cattle in tropical and subtropical areas. It remains a critical issue for both human and animal health in many parts of the world, especially those where livestock is an important source of food and income. An efficient method for monitoring the illness's increasing prevalence and developing low-cost prevention strategies for both its effects and recurrence is brucellosis disease modeling. We create a fractional-order model of Bovine Brucellosis using a discrete modified Atangana-Baleanu fractional difference operator of the Liouville-Caputo type. An analysis of the suggested system's well-posedness and a qualitative investigation are both conducted. The examination of the Volterra-type Lyapunov function for global stability is supported by the first and derivative tests. The Lipschitz condition is also used for the model in order to meet the criterion of the uniqueness of the exact solution. We created an endemic and disease-free equilibrium. Solutions are built in the discrete generalized form of the Mittag-Leffler kernel in order to analyze the effect of the fractional operator with numerical simulations and emphasize the effects of the sickness due to the many factors involved. The capacity of the suggested model to forecast an infectious disease like brucellosis can help researchers and decision-makers take preventive actions.
dc.identifier.doi10.1016/j.rinp.2023.106887
dc.identifier.issn2211-3797
dc.identifier.scopus2-s2.0-85171133506
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.rinp.2023.106887
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6755
dc.identifier.volume52
dc.identifier.wosWOS:001079746500001
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.subjectBovine Brucellosis disease
dc.subjectDiscrete modified Atangana-Baleanu fractional
dc.subjectdifference operator of the Liouville-Caputo type
dc.subjectDiscrete generalized Mittag-Leffler kernel
dc.subjectVolterra-type Lyapunov function
dc.titleAnalysis of a fractional order Bovine Brucellosis disease model with discrete generalized Mittag-Leffler kernels
dc.typeArticle

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