FRACTIONAL VIEW ANALYSIS OF THE DYNAMICS OF A PLANT DISEASE THROUGH CAPUTO–FABRIZIO DERIVATIVE

Rashid Jan, Zahir Shah (), Narcisa Vrinceanu, Mansoor H. Alshehri, Normy Norfiza Abdul Razak () and Mihaela Racheriu
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Rashid Jan: Department of Mathematics, Saveetha School of Engineering (SIMATS), Thandalam 600124, Chennai, Tamil Nadu, India2Institute of Energy Infrastructure (IEI), Department of Civil Engineering, College of Engineering, Universiti Tenaga Nasional (UNITEN), Putrajaya Campus, Jalan IKRAM-UNITEN, 43000 Kajang, Selangor, Malaysia
Zahir Shah: Department of Mathematical Sciences, University of Lakki Marwat, Lakki Marwat 28420, KPK, Pakistan
Narcisa Vrinceanu: Faculty of Engineering, Department of Industrial Machines and Equipments, “Lucian Blaga†University of Sibiu, 10 Victoriei Boulevard, Sibiu 550024, Romania
Mansoor H. Alshehri: Department of Mathematics, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia
Normy Norfiza Abdul Razak: Institute of Energy Infrastructure (IEI), Department of Civil Engineering, College of Engineering, Universiti Tenaga Nasional (UNITEN), Putrajaya Campus, Jalan IKRAM-UNITEN, 43000 Kajang, Selangor, Malaysia
Mihaela Racheriu: Department of Clinical Surgery, County Clinical Emergency Hospital, Sibiu, Romania

FRACTALS (fractals), 2025, vol. 33, issue 04, 1-17

Abstract: A thorough understanding of the dynamics of cotton leaf curl virus (CLCuV) disease is crucial for developing effective control strategies, mitigating economic losses in cotton production, and ensuring sustainable agriculture in regions affected by this infection. In this work, we formulate the dynamics of CLCuV disease in a fractional framework to capture the intricate phenomena associated with the disease. The infection-free steady state of the model is determined, and the reproduction parameter is determined by applying the next-generation matrix approach, indicated by â„›0. Our results reveal that the infection-free equilibrium exhibits local asymptotic stability when â„›0 < 1, and unstable when it exceeds the threshold. We establish the existence and uniqueness of the solution for our recommended model of the disease. In addition to this, we explore the dynamical behavior through numerical results, aiming to elucidate the complex dynamics of the disease and provide visual insights into key determinants. This knowledge facilitates the development of efficient disease management strategies, such as the prompt implementation of control measures, the creation of resistant varieties, and the enhancement of cultural customs. Finally, a thorough understanding of the disease dynamics empowers farmers and authorities to adopt proactive measures, reducing the economic losses and preserving the health of cotton crops.

Keywords: Fractional Dynamics; Vector-Borne Infection; Mathematical Analysis; Existence Theory; Dynamical Behavior (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X25400791

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