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

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dc.contributor.author Azam, Shumaila
dc.contributor.author Ahmed, Nauman
dc.contributor.author Akgül, Ali
dc.contributor.author Iqbal, Muhammad Sajid
dc.contributor.author Rafiq, Muhammad
dc.contributor.author Ahmad, Muhammad Ozair
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2023-01-16T07:54:30Z
dc.date.available 2023-01-16T07:54:30Z
dc.date.issued 2021-11
dc.identifier.citation Azam, Shumaila...et al. (2021). "Structure preserving numerical scheme for spatio-temporal epidemic model of plant disease dynamics", Results in Physics, Vol. 30. tr_TR
dc.identifier.issn 2211-3797
dc.identifier.uri http://hdl.handle.net/20.500.12416/6068
dc.description.abstract In 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. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.rinp.2021.104821 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Advection Reaction System tr_TR
dc.subject Epidemic Model tr_TR
dc.subject M Matrix Theory tr_TR
dc.subject Positivity Preserving Scheme tr_TR
dc.title Structure preserving numerical scheme for spatio-temporal epidemic model of plant disease dynamics tr_TR
dc.type article tr_TR
dc.relation.journal Results in Physics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 30 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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