Modeling and analyzing the dynamics of brucellosis disease with vaccination in the fractional derivative under real cases
The 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 uniquen...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Springer Nature
2025
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/118796/ http://psasir.upm.edu.my/id/eprint/118796/1/118796.pdf |
| _version_ | 1848867790385053696 |
|---|---|
| author | Al-Hdaibat, Bashir Khan, Muhammad Altaf Ahmad, Irfan Alzahrani, Ebraheem Akgul, Ali |
| author_facet | Al-Hdaibat, Bashir Khan, Muhammad Altaf Ahmad, Irfan Alzahrani, Ebraheem Akgul, Ali |
| author_sort | Al-Hdaibat, Bashir |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The 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 R0<1 is analyzed. When R0≤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 R0=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. |
| first_indexed | 2025-11-15T14:42:06Z |
| format | Article |
| id | upm-118796 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T14:42:06Z |
| publishDate | 2025 |
| publisher | Springer Nature |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1187962025-07-24T02:06:39Z http://psasir.upm.edu.my/id/eprint/118796/ Modeling and analyzing the dynamics of brucellosis disease with vaccination in the fractional derivative under real cases Al-Hdaibat, Bashir Khan, Muhammad Altaf Ahmad, Irfan Alzahrani, Ebraheem Akgul, Ali The 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 R0<1 is analyzed. When R0≤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 R0=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. Springer Nature 2025 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/118796/1/118796.pdf Al-Hdaibat, Bashir and Khan, Muhammad Altaf and Ahmad, Irfan and Alzahrani, Ebraheem and Akgul, Ali (2025) Modeling and analyzing the dynamics of brucellosis disease with vaccination in the fractional derivative under real cases. Journal of Applied Mathematics and Computing, 71 (4). art. no. undefined. pp. 5567-5588. ISSN 1598-5865; eISSN: 1865-2085 https://link.springer.com/article/10.1007/s12190-025-02435-x?error=cookies_not_supported&code=688dbd52-e511-46a6-ab86-0dc96dbd9d00 10.1007/s12190-025-02435-x |
| spellingShingle | Al-Hdaibat, Bashir Khan, Muhammad Altaf Ahmad, Irfan Alzahrani, Ebraheem Akgul, Ali Modeling and analyzing the dynamics of brucellosis disease with vaccination in the fractional derivative under real cases |
| title | Modeling and analyzing the dynamics of brucellosis disease with vaccination in the fractional derivative under real cases |
| title_full | Modeling and analyzing the dynamics of brucellosis disease with vaccination in the fractional derivative under real cases |
| title_fullStr | Modeling and analyzing the dynamics of brucellosis disease with vaccination in the fractional derivative under real cases |
| title_full_unstemmed | Modeling and analyzing the dynamics of brucellosis disease with vaccination in the fractional derivative under real cases |
| title_short | Modeling and analyzing the dynamics of brucellosis disease with vaccination in the fractional derivative under real cases |
| title_sort | modeling and analyzing the dynamics of brucellosis disease with vaccination in the fractional derivative under real cases |
| url | http://psasir.upm.edu.my/id/eprint/118796/ http://psasir.upm.edu.my/id/eprint/118796/ http://psasir.upm.edu.my/id/eprint/118796/ http://psasir.upm.edu.my/id/eprint/118796/1/118796.pdf |