Structure preserving numerical scheme for spatio-temporal epidemic model of plant disease dynamics

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dc.authoridRafiq, Muhammad/0000-0002-2165-3479
dc.authoridIqbal, Muhammad Sajid/0000-0001-6929-8093
dc.contributor.authorAzam, Shumaila
dc.contributor.authorAhmed, Nauman
dc.contributor.authorAkgul, Ali
dc.contributor.authorIqbal, Muhammad Sajid
dc.contributor.authorRafiq, Muhammad
dc.contributor.authorAhmad, Muhammad Ozair
dc.contributor.authorBaleanu, Dumitru
dc.date.accessioned2024-12-24T19:27:37Z
dc.date.available2024-12-24T19:27:37Z
dc.date.issued2021
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this article, an implicit numerical design is formulated for finding the numerical solution of spatiotemporal nonlinear dynamical system with advection. Such type of problems arise in many fields of life sciences, mathematics, physics and engineering. The epidemic model describes the population densities that have some special types of features. These features should be maintained by the numerical design. The proposed scheme, not only solves the nonlinear physical system but also preserves the structure of the state variables. Von-Neumann criteria, M-matrix theory and Taylor's expansion are used for proving some standard results. Basic reproduction number is evaluated and its key role in deciding the stability at the equilibrium points is also investigated. Graphical solutions are also presented against the test problem.
dc.identifier.doi10.1016/j.rinp.2021.104821
dc.identifier.issn2211-3797
dc.identifier.scopus2-s2.0-85116516784
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.rinp.2021.104821
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6726
dc.identifier.volume30
dc.identifier.wosWOS:000720802300010
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofResults in Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectPositivity preserving scheme
dc.subjectAdvection reaction system
dc.subjectEpidemic model
dc.subjectM matrix theory
dc.titleStructure preserving numerical scheme for spatio-temporal epidemic model of plant disease dynamics
dc.typeArticle

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