An efficient numerical technique for a biological population model of fractional order

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dc.authoridSEBA, Djamila/0000-0002-7910-3074
dc.authoridAttia, Nourhane/0000-0002-9937-8665
dc.contributor.authorAttia, Nourhane
dc.contributor.authorAkgul, Ali
dc.contributor.authorSeba, Djamila
dc.contributor.authorNour, Abdelkader
dc.date.accessioned2024-12-24T19:25:25Z
dc.date.available2024-12-24T19:25:25Z
dc.date.issued2020
dc.departmentSiirt Üniversitesi
dc.description.abstractIn the present paper, a biological population model of fractional order (FBPM) with one carrying capacity has been examined with the help of reproducing kernel Hilbert space method (RKHSM). This important fractional model arises in many applications in computational biology. It is worth noting that, the considered FBPM is used to provide the changes that is made on the densities of the predator and prey populations by the fractional derivative. The technique employed to construct new numerical solutions for the FBPM which is considered of a system of two nonlinear fractional ordinary differential equations (FODEs). In the proposed investigation, the utilised fractional derivative is the Caputo derivative. The most valuable advantages of the RKHSM is that it is easily and fast implemented method. The solution methodology is based on the use of two important Hilbert spaces, as well as on the construction of a normal basis through the use of Gram-Schmidt orthogonalization process. We illustrate the high competency and capacity of the suggested approach through the convergence analysis. The computational results, which are compared with the homotopy perturbation Sumudu transform method (HPSTM), clearly show: On the one hand, the effect of the fractional derivative in the obtained outcomes, and on the other hand, the great agreement between the mentioned methods, also the superior performance of the RKHSM. The numerical computational are presented in illustrated graphically to show the variations of the predator and prey populations for various fractional order derivatives and with respect to time. (C) 2020 Elsevier Ltd. All rights reserved.
dc.identifier.doi10.1016/j.chaos.2020.110349
dc.identifier.issn0960-0779
dc.identifier.issn1873-2887
dc.identifier.scopus2-s2.0-85092649624
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.chaos.2020.110349
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6406
dc.identifier.volume141
dc.identifier.wosWOS:000598542800004
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.ispartofChaos Solitons & Fractals
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectReproducing kernel Hilbert space method
dc.subjectCarrying capacity
dc.subjectComputational biology
dc.subjectFractional biological population model
dc.subjectGram-Schmidt orthogonalization process
dc.titleAn efficient numerical technique for a biological population model of fractional order
dc.typeArticle

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