A Nonlinear Mathematical Model to Describe the Transmission Dynamics of the Citrus Canker Epidemic

dc.authorscopusid 57217132593
dc.contributor.author Kumar, Pushpendra
dc.date.accessioned 2025-05-31T20:20:59Z
dc.date.available 2025-05-31T20:20:59Z
dc.date.issued 2025
dc.department Okan University en_US
dc.department-temp [Kumar] Pushpendra, Faculty of Engineering and Natural Sciences, Istanbul Okan University, Tuzla, Turkey, Department of Mathematics, Near East University TRNC, Mersin, Turkey en_US
dc.description.abstract In this article, a mathematical model is proposed to define the transmission dynamics of one of the most dangerous plant diseases, citrus canker, by using integer and fractional derivatives. For the fractional-order generalisation, the well-known Caputo fractional derivative is used with the singular-type kernel. The basic features of the proposed integer- and fractional-order models are defined by using well-known mathematical concepts. The proposed model is numerically solved by using the Chebyshev spectral collocation scheme. Some graphical justifications are also given to visualise the disease transmission in the population of citrus plants over time. This research study contains the first non-linear mathematical model of citrus canker transmission, which is the main novelty of this article. © 2025 Elsevier B.V., All rights reserved. en_US
dc.description.woscitationindex Emerging Sources Citation Index
dc.identifier.doi 10.36922/ijocta.1507
dc.identifier.endpage 13 en_US
dc.identifier.issn 2146-0957
dc.identifier.issue 1 en_US
dc.identifier.scopus 2-s2.0-105012294792
dc.identifier.scopusquality Q2
dc.identifier.startpage 1 en_US
dc.identifier.trdizinid 1299326
dc.identifier.uri https://doi.org/10.36922/ijocta.1507
dc.identifier.uri https://search.trdizin.gov.tr/en/yayin/detay/1299326/a-nonlinear-mathematical-model-to-describe-the-transmission-dynamics-of-the-citrus-canker-epidemic
dc.identifier.volume 15 en_US
dc.identifier.wos WOS:001458917700001
dc.identifier.wosquality N/A
dc.institutionauthor Kumar, Pushpendra
dc.language.iso en en_US
dc.publisher Ramazan Yaman en_US
dc.relation.ispartof International Journal of Optimization and Control-Theories & Applications-IJOCTA en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Bacterial Epidemics en_US
dc.subject Caputo Fractional Derivative en_US
dc.subject Chebyshev Spectral Collocation Scheme en_US
dc.subject Citrus Canker en_US
dc.subject Mathematical Model en_US
dc.title A Nonlinear Mathematical Model to Describe the Transmission Dynamics of the Citrus Canker Epidemic en_US
dc.type Article en_US
dspace.entity.type Publication
gdc.coar.access open access
gdc.coar.type text::journal::journal article

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