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

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dc.contributor.author Jawaz, Muhammad
dc.contributor.author Rehman, Muhammad Aziz-Ur
dc.contributor.author Ahmed, Nauman
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Iqbal, Muhammad Sajid
dc.contributor.author Rafiq, Muhammad
dc.contributor.author Raza, Ali
dc.date.accessioned 2024-02-28T12:18:31Z
dc.date.available 2024-02-28T12:18:31Z
dc.date.issued 2023-10-01
dc.identifier.citation Jawaz, 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. tr_TR
dc.identifier.issn 15651339
dc.identifier.uri http://hdl.handle.net/20.500.12416/7354
dc.description.abstract The 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. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1515/ijnsns-2021-0233 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Epidemic Model With Delay And Diffusion tr_TR
dc.subject Existence Uniqueness tr_TR
dc.subject Positive Numerical Scheme tr_TR
dc.subject Rabies Dynamics tr_TR
dc.subject Simulations tr_TR
dc.title Analysis and numerical effects of time-delayed rabies epidemic model with diffusion tr_TR
dc.type article tr_TR
dc.relation.journal International Journal of Nonlinear Sciences and Numerical Simulation tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 24 tr_TR
dc.identifier.issue 6 tr_TR
dc.identifier.startpage 2179 tr_TR
dc.identifier.endpage 2194 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


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