https://doi.org/10.1140/epjs/s11734-023-00926-1
Regular Article
Dynamical analysis, infections in plants, and preventive policies utilizing the theory of fractional calculus
1
Department of Pathogenic Microbiology and Immunology, School of Basic Medical Sciences, Xian Jiaotong University Health Science Center, 76 West Yanta Road, 710061, Xian, China
2
Department of Mathematics, College of Sciences and Arts, Qassim University, ArRass, Saudi Arabia
3
School of Mathematical Sciences, Universiti Sains Malaysia (USM), 11800, Penang, Malaysia
4
Department of Mathematics, University of Swabi, 23561, Swabi, KPK, Pakistan
Received:
24
February
2023
Accepted:
2
July
2023
Published online:
31
July
2023
Farmers are trying to adopt new cultivation methods and technologies to produce more and good yield. Low productivity is due to a variety of factors; one of the main reasons is the existence of plant diseases spread by insects and pathogens. Infection in the plants of red chilli via the yellow virus is a current issue for the farmers. Here, we construct a model for the propagation of the yellow virus in the plants of red chilli to investigate the key factors. The proposed model is then presented in the framework of fractional derivative for more accurate findings. By applying the method of next-generation matrix, we determine the basic reproduction number 
. The recommended model is investigated for biological meaningful results. Moreover, we focus on the dynamical behavior and qualitative analysis of the yellow virus infection in the plants of red chili. Schaefer and Banach fixed-point theorems are utilized to demonstrate the uniqueness and existence of the solution of the recommended system. We find suitable circumstances for the Ulam–Hyers stability of the recommended system of plants infection. The solution routes are examined using a unique numerical method to highlight the contribution of the input factors on yellow virus dynamics. Key factors of the system are investigated numerically through different simulations. The most critical factors of the infection are highlighted to the policymakers for the prevention of the losses.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
