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Analysis and numerical effects of time-delayed rabies epidemic model with diffusion

dc.contributor.authorJawaz, Muhammad
dc.contributor.authorRehman, Muhammad Aziz-Ur
dc.contributor.authorAhmed, Nauman
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorIqbal, Muhammad Sajid
dc.contributor.authorRafiq, Muhammad
dc.contributor.authorRaza, Ali
dc.contributor.authorID56389tr_TR
dc.date.accessioned2024-02-28T12:18:31Z
dc.date.available2024-02-28T12:18:31Z
dc.date.issued2023
dc.departmentÇankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe current work is devoted to investigating the disease dynamics and numerical modeling for the delay diffusion infectious rabies model. To this end, a non-linear diffusive rabies model with delay count is considered. Parameters involved in the model are also described. Equilibrium points of the model are determined and their role in studying the disease dynamics is identified. The basic reproduction number is also studied. Before going towards the numerical technique, the definite existence of the solution is ensured with the help of the Schauder fixed point theorem. A standard result for the uniqueness of the solution is also established. Mapping properties and relative compactness of the operator are studied. The proposed finite difference method is introduced by applying the rules defined by R.E. Mickens. Stability analysis of the proposed method is done by implementing the Von-Neumann method. Taylor's expansion approach is enforced to examine the consistency of the said method. All the important facts of the proposed numerical device are investigated by presenting the appropriate numerical test example and computer simulations. The effect of τ on infected individuals is also examined, graphically. Moreover, a fruitful conclusion of the study is submitted.en_US
dc.description.publishedMonth10
dc.identifier.citationJawaz, Muhammad;...et.al. (2023). "Analysis and numerical effects of time-delayed rabies epidemic model with diffusion", International Journal of Nonlinear Sciences and Numerical Simulation, Vol.24, No.6, pp.2179-2194.en_US
dc.identifier.doi10.1515/ijnsns-2021-0233
dc.identifier.endpage2194en_US
dc.identifier.issn15651339
dc.identifier.issue6en_US
dc.identifier.startpage2179en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/7354
dc.identifier.volume24en_US
dc.language.isoenen_US
dc.relation.ispartofInternational Journal of Nonlinear Sciences and Numerical Simulationen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectEpidemic Model With Delay And Diffusionen_US
dc.subjectExistence Uniquenessen_US
dc.subjectPositive Numerical Schemeen_US
dc.subjectRabies Dynamicsen_US
dc.subjectSimulationsen_US
dc.titleAnalysis and numerical effects of time-delayed rabies epidemic model with diffusiontr_TR
dc.titleAnalysis and Numerical Effects of Time-Delayed Rabies Epidemic Model With Diffusionen_US
dc.typeArticleen_US
dspace.entity.typePublication

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