DOAJ Open Access 2024

Dynamical analysis of a novel discrete fractional lumpy skin disease model

Amr Elsonbaty Mohammed Alharbi A. El-Mesady Waleed Adel

Abstrak

Lumpy skin disease is a viral disease that affects cattle and is caused by the lumpy skin disease virus. This work is devoted to presenting and analyzing the nonlinear dynamics of a novel discrete fractional model for lumpy skin disease. The equilibrium points of the proposed discrete fractional model are found. The stability analysis of equilibrium points is carried out. The influences of key parameters in the model are investigated, and then the stability regions of a disease-free steady state in the space of parameters are obtained. A proposed efficient control scheme is implemented to stabilize the disease-free equilibrium point when it is unstable. The influences of fractional-order parameters on the applied control scheme are explored. Finally, numerical simulations are performed to verify the theoretical findings obtained and confirm the effectiveness of the employed control scheme.

Penulis (4)

A

Amr Elsonbaty

M

Mohammed Alharbi

A

A. El-Mesady

W

Waleed Adel

Format Sitasi

Elsonbaty, A., Alharbi, M., El-Mesady, A., Adel, W. (2024). Dynamical analysis of a novel discrete fractional lumpy skin disease model. https://doi.org/10.1016/j.padiff.2023.100604

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Informasi Jurnal
Tahun Terbit
2024
Sumber Database
DOAJ
DOI
10.1016/j.padiff.2023.100604
Akses
Open Access ✓