A robust numerical study on modified Lumpy skin disease model.

Bibliographic Details
Title: A robust numerical study on modified Lumpy skin disease model.
Authors: Kumar, Parveen, Kumar, Sunil, Alkahtani, Badr Saad T., Alzaid, Sara S.
Source: AIMS Mathematics; 2024, Vol. 9 Issue 8, p22941-22985, 45p
Subject Terms: LUMPY skin disease, EXPONENTIAL decay law, FIXED point theory, CONSCIOUSNESS raising, MEDICAL model
Abstract: 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. [ABSTRACT FROM AUTHOR]
Copyright of AIMS Mathematics is the property of American Institute of Mathematical Sciences and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Complementary Index
More Details
ISSN:24736988
DOI:10.3934/math.20241116
Published in:AIMS Mathematics
Language:English