Modeling and analysis of sustainable approach for dynamics of infections in plant virus with fractal fractional operator

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dc.contributor.authorFarman, Muhammad
dc.contributor.authorSarwar, Rabia
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:25:27Z
dc.date.available2024-12-24T19:25:27Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this paper, studying a sustainable approach to see the dynamics of infection in the plant by using a fractal fractional derivative. To depict a time-fractional order plant virus model including disease consequences, we suggested a set of fractional differential equations. For the fractional order system, both qualitative and quantitative studies are carried out. To prove the existence and uniqueness of the proposed model with the effect of global derivative, Linear growth and Lipschitz conditions are used. Positiveness and boundedness of solutions of the fractional order model are verified. Local stability analysis and global stability is verified by using the Lyapunov function with the first and second derivative tests. Sensitivity analysis is performed to see the influence of parameters on the fractional order model. To study the effect of the fractional operator, which demonstrates the impact of the illness on plants, solutions are generated with a two-step Lagrange polynomial in the generalized form of the Mittag-Leffler kernel. To observe the behavior of the fractional order plant virus model, numerical simulation is used. Such an inquiry will help to comprehend how the virus behaves and to create defences against infected plants.
dc.identifier.doi10.1016/j.chaos.2023.113373
dc.identifier.issn0960-0779
dc.identifier.issn1873-2887
dc.identifier.scopus2-s2.0-85151028490
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.chaos.2023.113373
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6422
dc.identifier.volume170
dc.identifier.wosWOS:001026893900001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.ispartofChaos Solitons & Fractals
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectPlant virus model
dc.subjectBiological feasibility
dc.subjectUniqueness
dc.subjectLyapunov stability
dc.subjectSensitivity
dc.subjectMittag-Leffler kernel
dc.titleModeling and analysis of sustainable approach for dynamics of infections in plant virus with fractal fractional operator
dc.typeArticle

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