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A delayed plant disease model with Caputo fractional derivatives

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dc.contributor.author Kumar, Pushpendra
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Erturk, Vedat Suat
dc.contributor.author Inc, Mustafa
dc.contributor.author Govindaraj, V.
dc.date.accessioned 2024-02-09T11:40:11Z
dc.date.available 2024-02-09T11:40:11Z
dc.date.issued 2022-12
dc.identifier.citation Kumar, Pushpendra ...et.al. (2022). "A delayed plant disease model with Caputo fractional derivatives", Advances in Continuous and Discrete Models, Vol.2022, No.1. tr_TR
dc.identifier.issn 27314235
dc.identifier.uri http://hdl.handle.net/20.500.12416/7130
dc.description.abstract We analyze a time-delay Caputo-type fractional mathematical model containing the infection rate of Beddington–DeAngelis functional response to study the structure of a vector-borne plant epidemic. We prove the unique global solution existence for the given delay mathematical model by using fixed point results. We use the Adams–Bashforth–Moulton P-C algorithm for solving the given dynamical model. We give a number of graphical interpretations of the proposed solution. A number of novel results are demonstrated from the given practical and theoretical observations. By using 3-D plots we observe the variations in the flatness of our plots when the fractional order varies. The role of time delay on the proposed plant disease dynamics and the effects of infection rate in the population of susceptible and infectious classes are investigated. The main motivation of this research study is examining the dynamics of the vector-borne epidemic in the sense of fractional derivatives under memory effects. This study is an example of how the fractional derivatives are useful in plant epidemiology. The application of Caputo derivative with equal dimensionality includes the memory in the model, which is the main novelty of this study. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1186/s13662-022-03684-x tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Caputo Fractional Derivative tr_TR
dc.subject Crowding Effect tr_TR
dc.subject Disease Resistance tr_TR
dc.subject Fractional Mathematical Model tr_TR
dc.subject Incubation Period tr_TR
dc.subject Predictor–Corrector Algorithm tr_TR
dc.subject Time-Delay tr_TR
dc.title A delayed plant disease model with Caputo fractional derivatives tr_TR
dc.type article tr_TR
dc.relation.journal Advances in Continuous and Discrete Models tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 2022 tr_TR
dc.identifier.issue 1 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


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