COMPUTATIONAL ANALYSIS BY ARTIFICIAL INTELLIGENCE OF THE FRACTIONAL-ORDER PLANT VIRUS SPREAD MODEL

Aziz Khan (), Thabet Abdeljawad and Rajermani Thinakaran ()
Additional contact information
Aziz Khan: Department of Mathematics and Sciences, Prince Sultan University, P. O. Box 66833, 11586 Riyadh, Saudi Arabia
Thabet Abdeljawad: Department of Mathematics and Sciences, Prince Sultan University, P. O. Box 66833, 11586 Riyadh, Saudi Arabia†Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai 602105, Tamil Nadu, India‡Department of Medical Research, China Medical University, Taichung 40402, Taiwan§Center for Applied Mathematics and Bioinformatics (CAMB), Gulf University for Science and Technology, Hawally 32093, Kuwait¶Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Garankuwa, Medusa 0204, South Africa
Rajermani Thinakaran: ��Faculty of Data Science and Information Technology, INTI International University, Nilai, Malaysia

FRACTALS (fractals), 2025, vol. 33, issue 08, 1-21

Abstract: Viruses are an enormous threat to plants, humans, and animals, and they can have serious adverse impacts on the environment and economy. Plant viruses have the same destructive influence over ecological systems and crops as their counterparts in different species. Vectors, such as insects or other living things that help as transporters, are many ways for these certain plant viruses to spread. There is a time when a plant gets an infection from an infected individual when the virus circulates and grows in the plant’s tissues. The gap between the transmission of the virus and the start of symptoms permits its spread and enlargement, improving the possible damage to the plant host. We present a unique viewpoint on studying the dynamics of the plant virus spread (PVS) model by consuming a sustainability framework to estimate the environmental influence of viruses on the potato plant, by interchanging the integer order by a fractal fractional operator. The fractional-order PVS model is designed to epitomize the complex activities of the model perfectly as process innovation. The existence and unique results of the fractional order PVS model are cautiously observed by Lipschitz conditions. Additionally, within the fractional order context, we prudently prove the positivity and boundedness of the model. Likewise, Hyers–Ulam stability was used for the stability analysis. Furthermore, a numerical system was assembled for the fractional order PVS model. Ultimately, the numerical scheme Lagrangian interpolation is utilized to observe complex scenarios between viruses and plants.

Keywords: Fractal Fractional Operator; Sustainability; Ulam–Hyers Stability; Lipschitz Conditions; Numerical Scheme; Plant Virus Spread (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X25401413
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:33:y:2025:i:08:n:s0218348x25401413

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X25401413

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().