Study of a Fractional System of Predator-Prey with Uncertain Initial Conditions

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dc.authoridAhmad, Shabir/0000-0002-5610-6248
dc.authoridUllah, Aman/0000-0003-4021-3599
dc.contributor.authorAhmad, Shabir
dc.contributor.authorUllah, Aman
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:29:49Z
dc.date.available2024-12-24T19:29:49Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this manuscript, we study a nonlinear fractional-order predator-prey system while considering uncertainty in initial values. We derive the feasibility region and the boundness of the solution. The suggested model's equilibrium points and the basic reproduction number are calculated. The stability of equilibrium points is presented. We use the metric fixed point theory to study the existence and uniqueness results concerning the solution of the model. We use the notion of UH-stability to show that the model is Ulam-Hyres type stable. To attain the approximate solution of the proposed model, we construct a method that uses the fuzzy Laplace transform in collaboration with the ADM (Adomian decomposition method). Finally, we simulate our theoretical results using MATLAB to show the dynamics of the considered model.
dc.identifier.doi10.1155/2022/3196608
dc.identifier.issn1024-123X
dc.identifier.issn1563-5147
dc.identifier.scopus2-s2.0-85133057250
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1155/2022/3196608
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7247
dc.identifier.volume2022
dc.identifier.wosWOS:000817731100003
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherHindawi Ltd
dc.relation.ispartofMathematical Problems in Engineering
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.titleStudy of a Fractional System of Predator-Prey with Uncertain Initial Conditions
dc.typeArticle

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