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Optimality of solution with numerical investigation for coronavirus epidemic model

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dc.contributor.author Shahid, Naveeda
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Ahmed, Nauman
dc.contributor.author Shaikh, Tahira Sumbal
dc.contributor.author Raza, Ali
dc.contributor.author Iqbal, Muhammad Sajid
dc.contributor.author Rafiq, Muhammad
dc.contributor.author Aziz-Ur Rehman, Muhammad
dc.date.accessioned 2022-12-02T08:03:16Z
dc.date.available 2022-12-02T08:03:16Z
dc.date.issued 2021
dc.identifier.citation Shahid, Naveeda...et al. (2021). "Optimality of solution with numerical investigation for coronavirus epidemic model", Computers, Materials and Continua, Vol. 67, no. 2, pp. 1713-1728. tr_TR
dc.identifier.issn 1546-2218
dc.identifier.uri http://hdl.handle.net/20.500.12416/5903
dc.description.abstract The novel coronavirus disease, coined as COVID-19, is a murderous and infectious disease initiated from Wuhan, China. This killer disease has taken a large number of lives around the world and its dynamics could not be controlled so far. In this article, the spatio-Temporal compartmental epidemic model of the novel disease with advection and diffusion process is projected and analyzed. To counteract these types of diseases or restrict their spread, mankind depends upon mathematical modeling and medicine to reduce, alleviate, and anticipate the behavior of disease dynamics. The existence and uniqueness of the solution for the proposed system are investigated. Also, the solution to the considered system is made possible in a well-known functions space. For this purpose, a Banach space of function is chosen and the solutions are optimized in the closed and convex subset of the space. The essential explicit estimates for the solutions are investigated for the associated auxiliary data. The numerical solution and its analysis are the crux of this study.Moreover, the consistency, stability, and positivity are the indispensable and core properties of the compartmentalmodels that a numerical designmust possess. To this end, a nonstandard finite difference numerical scheme is developed to find the numerical solutions which preserve the structural properties of the continuous system. The M-matrix theory is applied to prove the positivity of the design. The results for the consistency and stability of the design are also presented in this study. The plausibility of the projected scheme is indicated by an appropriate example. Computer simulations are also exhibited to conclude the results. © 2021 Tech Science Press. All rights reserved. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.32604/cmc.2021.014191 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Advection tr_TR
dc.subject Auxiliary Data tr_TR
dc.subject Diffusion tr_TR
dc.subject Explicit Estimates tr_TR
dc.subject M-Matrix tr_TR
dc.subject Spatio-Temporal tr_TR
dc.title Optimality of solution with numerical investigation for coronavirus epidemic model tr_TR
dc.type article tr_TR
dc.relation.journal Computers, Materials and Continua tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 67 tr_TR
dc.identifier.issue 2 tr_TR
dc.identifier.startpage 1713 tr_TR
dc.identifier.endpage 1728 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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