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Positive explicit and implicit computational techniques for reaction-diffusion epidemic model of dengue disease dynamics

dc.contributor.authorAhmed, Nauman
dc.contributor.authorMalik, Muhammad Rafiq
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorAlshomrani, Ali Saleh
dc.contributor.authorRehman, Muhammad Aziz-ur
dc.contributor.authorID56389tr_TR
dc.date.accessioned2021-01-19T12:33:58Z
dc.date.available2021-01-19T12:33:58Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe aim of this work is to develop a novel explicit unconditionally positivity preserving finite difference (FD) scheme and an implicit positive FD scheme for the numerical solution of dengue epidemic reaction-diffusion model with incubation period of virus. The proposed schemes are unconditionally stable and preserve all the essential properties of the solution of the dengue reaction diffusion model. This proposed FD schemes are unconditionally dynamically consistent with positivity property and converge to the true equilibrium points of dengue epidemic reaction diffusion system. Comparison of the proposed scheme with the well-known existing techniques is also presented. The time efficiency of both the proposed schemes is also compared, with the two widely used techniques.en_US
dc.description.publishedMonth5
dc.identifier.citationAhmed, Nauman...et al. (2020). "Positive explicit and implicit computational techniques for reaction-diffusion epidemic model of dengue disease dynamics", Advances in Difference Equations, Vol. 2020, No. 1.en_US
dc.identifier.doi10.1186/s13662-020-02622-z
dc.identifier.issn1687-1847
dc.identifier.issue1en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/4473
dc.identifier.volume2020en_US
dc.language.isoenen_US
dc.relation.ispartofAdvances in Difference Equationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectStructure Preserving Methodsen_US
dc.subjectFinite Difference Schemesen_US
dc.subjectDengue Modelen_US
dc.subjectDiffusion Epidemic Systemen_US
dc.subjectNumerical Simulationsen_US
dc.titlePositive explicit and implicit computational techniques for reaction-diffusion epidemic model of dengue disease dynamicstr_TR
dc.titlePositive Explicit and Implicit Computational Techniques for Reaction-Diffusion Epidemic Model of Dengue Disease Dynamicsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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