Fractional Modeling and Stability Analysis of Tomato Yellow Leaf Curl Virus Disease: Insights for Sustainable Crop Protection
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F25%3A10259155" target="_blank" >RIV/61989100:27240/25:10259155 - isvavai.cz</a>
Alternative codes found
RIV/61989100:27740/25:10259155
Result on the web
<a href="https://www.mdpi.com/2504-3110/9/12/754" target="_blank" >https://www.mdpi.com/2504-3110/9/12/754</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/fractalfract9120754" target="_blank" >10.3390/fractalfract9120754</a>
Alternative languages
Result language
angličtina
Original language name
Fractional Modeling and Stability Analysis of Tomato Yellow Leaf Curl Virus Disease: Insights for Sustainable Crop Protection
Original language description
Tomato Yellow Leaf Curl Virus (TYLCV) has recently caused severe economic losses in global tomato production. According to the International Plant Protection Convention (IPPC), yield reductions of 50-60% have been reported in several regions, including the Caribbean, Central America, and South Asia, with losses in sensitive cultivars reaching up to 90-100%. In developing countries, TYLCV and mixed infections affect more than seven million hectares of tomato-growing land annually. In this study, we construct and analyze a nonlinear dynamic model describing the transmission of TYLCV, incorporating the Caputo fractional-order derivative operator. The existence and uniqueness of solutions to the proposed model are rigorously established. Equilibrium points are identified, and the Jacobian determinant approach is applied to compute the basic reproduction number, R0. Suitable Lyapunov functions are formulated to analyze the global asymptotic stability of both the disease-free and endemic equilibria. The model is numerically solved using the Gr & uuml;nwald-Letnikov-based nonstandard finite difference method, and simulations assess how the memory index and preventive strategies influence disease propagation. The results reveal critical factors governing TYLCV transmission and suggest effective intervention measures to guide sustainable crop protection policies.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10100 - Mathematics
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Fractal and Fractional
ISSN
2504-3110
e-ISSN
2504-3110
Volume of the periodical
9
Issue of the periodical within the volume
12
Country of publishing house
CH - SWITZERLAND
Number of pages
27
Pages from-to
754
UT code for WoS article
001647280200001
EID of the result in the Scopus database
2-s2.0-105025817290