A robust numerical study on modified Lumpy skin disease model

• Published in: AIMS mathematics Vol. 9; no. 8; pp. 22941 - 22985
• Main Authors: Kumar, Parveen, Kumar, Sunil, Alkahtani, Badr Saad T., Alzaid, Sara S.
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2024
• Subjects: existence and uniqueness; fractal-fractional caputo derivative; fractal-fractional caputo-fabrizio derivative; lumpy skin disease model; numerical scheme; ulam-hyers stability
• ISSN: 2473-6988; 2473-6988
• DOI: 10.3934/math.20241116

This paper was to present a mathematical model of non-integer order and demonstrated the detrimental consequences of lumpy skin disease (LSD). The LSD model included primarily affected cattle and other animals, particularly buffalo and cows. Given the significant drop in the number of livestock and dairy products, it was essential to use mathematical models to raise awareness of this issue. We examined the suggested LSD model to understand as well as every possible avenue that could result in the illness spreading throughout the community. Ulam-Hyers stability made it easier to analyze the stability of the LSD model, and fixed-point theory was a valuable tool for finding the existence and uniqueness of the solution to the suggested model. We have used new versions of power law and exponential decay fractional numerical methods. Numerical calculations were showing the influence of various fractional orders on the spread of disease and provided more informations than integer orders for the sensitive parameters of the proposed model. The graphical depiction is showed an understanding of the proposed LSD model.