Modeling and analyzing the dynamics of brucellosis disease with vaccination in the fractional derivative under real cases

Basit Öğe Kaydı
dc.contributor.authorBashir Al-Hdaibat
dc.contributor.authorMuhammad Altaf Khan
dc.contributor.authorIrfan Ahmad
dc.contributor.authorEbraheem Alzahrani
dc.contributor.authorAli Akgul
dc.date.accessioned2025-03-28T17:28:05Z
dc.date.available2025-03-28T17:28:05Z
dc.date.issued2025-03-21
dc.departmentFakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractThe present explores the brucellosis model in non-integer derivative by utilizing the real statistics from the mainland China. The formulation of the model first presented in integer order derivative and subsequently extended to fractional order using the Caputo derivative. The existence and uniqueness of the nonlinear fractional system is confirmed, which is the important requirement for a fractional nonlinear model. The local asymptotical stability of the fractional model when R-0 < 1 is analyzed. When R-0 <= 1, the model is found globally asymptotically stable. The existence of an endemic equilibria is given and found that the model has a unique endemic equilibrium. Using the reported cases of brucellosis in mainland China from 2004 to 2018 are considered. Graphical results for data fitting in cumulative and daily wise are presented with their respective residuals. The basic reproduction number is obtained from data fitting is R-0 = 1.0327. A numerical scheme for the Caputo case is provided in detailed and later the scheme was used to obtain the numerical results graphically. Various results regarding the disease curtail are presented graphically, that will be helpful for the disease elimination in the long run. The public health authority and the health agencies can utilize this work confidently for brucellosis control in mainland China.
dc.identifier.citationAl-Hdaibat, B., Khan, M. A., Ahmad, I., Alzahrani, E., & Akgul, A. (2025). Modeling and analyzing the dynamics of brucellosis disease with vaccination in the fractional derivative under real cases. Journal of Applied Mathematics and Computing, 1-22.
dc.identifier.doi10.1007/s12190-025-02435-x
dc.identifier.issn1598-5865
dc.identifier.issn1865-2085
dc.identifier.urihttps://www.doi.org/10.1007/s12190-025-02435-x
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8576
dc.identifier.wosWOS:001449526600001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.institutionauthorAkgül, Ali
dc.institutionauthorid0000-0001-9832-1424
dc.publisherSpringer Science and Business Media LLC
dc.relation.ispartofJournal of Applied Mathematics and Computing
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectBrucellosis vaccination system
dc.subjectChina mainland data
dc.subjectStability results
dc.subjectEstimations
dc.subjectSimulations
dc.titleModeling and analyzing the dynamics of brucellosis disease with vaccination in the fractional derivative under real cases
dc.typejournal-article

Dosyalar

Orijinal paket
Listeleniyor 1 - 1 / 1
Küçük Resim
Ä°sim:
Ali-Akgül-2025.pdf
Boyut:
1.11 MB
Biçim:
Adobe Portable Document Format
Ä°ndir
Lisans paketi
Listeleniyor 1 - 1 / 1
[ X ]
Ä°sim:
license.txt
Boyut:
1.17 KB
Biçim:
Item-specific license agreed upon to submission
Açıklama:
Ä°ndir

Koleksiyon

WOS İndeksli Yayınlar Koleksiyonu
2) Makale