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Design, analysis and comparison of a nonstandard computational method for the solution of a general stochastic fractional epidemic model

dc.contributor.authorAhmed, Nauman
dc.contributor.authorMacías-Díaz, Jorge E.
dc.contributor.authorRaza, Ali
dc.contributor.authorIqbal, Zafar
dc.contributor.authorAhmad, Muhammad Ozair
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorRafiq, Muhammad
dc.contributor.authorID56389tr_TR
dc.date.accessioned2024-03-04T11:15:27Z
dc.date.available2024-03-04T11:15:27Z
dc.date.issued2022
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractMalaria is a deadly human disease that is still a major cause of casualties worldwide. In this work, we consider the fractional-order system of malaria pestilence. Further, the essential traits of the model are investigated carefully. To this end, the stability of the model at equilibrium points is investigated by applying the Jacobian matrix technique. The contribution of the basic reproduction number, R0, in the infection dynamics and stability analysis is elucidated. The results indicate that the given system is locally asymptotically stable at the disease-free steady-state solution when R0 < 1. A similar result is obtained for the endemic equilibrium when R0 > 1. The underlying system shows global stability at both steady states. The fractional-order system is converted into a stochastic model. For a more realistic study of the disease dynamics, the non-parametric perturbation version of the stochastic epidemic model is developed and studied numerically. The general stochastic fractional Euler method, Runge–Kutta method, and a proposed numerical method are applied to solve the model. The standard techniques fail to preserve the positivity property of the continuous system. Meanwhile, the proposed stochastic fractional nonstandard finite-difference method preserves the positivity. For the boundedness of the nonstandard finite-difference scheme, a result is established. All the analytical results are verified by numerical simulations. A comparison of the numerical techniques is carried out graphically. The conclusions of the study are discussed as a closing note.en_US
dc.description.publishedMonth1
dc.identifier.citationAhmed, Nauman;...et.al. (2022). "Design, analysis and comparison of a nonstandard computational method for the solution of a general stochastic fractional epidemic model", Axioms, Vol.11, No.1.en_US
dc.identifier.doi10.3390/axioms11010010
dc.identifier.issn20751680
dc.identifier.issue1en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/7460
dc.identifier.volume11en_US
dc.language.isoenen_US
dc.relation.ispartofAxiomsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBoundednessen_US
dc.subjectMalaria Infectionen_US
dc.subjectNonstandard Finite-Difference Methoden_US
dc.subjectPositivityen_US
dc.subjectStochastic Epidemic Modelen_US
dc.subjectStochastic Generalized Euleren_US
dc.titleDesign, analysis and comparison of a nonstandard computational method for the solution of a general stochastic fractional epidemic modeltr_TR
dc.titleDesign, Analysis and Comparison of a Nonstandard Computational Method for the Solution of a General Stochastic Fractional Epidemic Modelen_US
dc.typeArticleen_US
dspace.entity.typePublication

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