Stability Analysis and Numerical Computation of the Fractional Predator-Prey Model with the Harvesting Rate

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dc.contributor.authorYavuz, Mehmet
dc.contributor.authorSene, Ndolane
dc.date.accessioned2024-02-23T14:35:08Z
dc.date.available2024-02-23T14:35:08Z
dc.date.issued2020
dc.departmentNEÜen_US
dc.description.abstractIn this work, a fractional predator-prey model with the harvesting rate is considered. Besides the existence and uniqueness of the solution to the model, local stability and global stability are experienced. A novel discretization depending on the numerical discretization of the Riemann-Liouville integral was introduced and the corresponding numerical discretization of the predator-prey fractional model was obtained. The net reproduction numberR0was obtained for the prediction and persistence of the disease. The dynamical behavior of the equilibria was examined by using the stability criteria. Furthermore, numerical simulations of the model were performed and their graphical representations are shown to support the numerical discretizations, to visualize the effectiveness of our theoretical results and to monitor the effect of arbitrary order derivative. In our investigations, the fractional operator is understood in the Caputo sense.en_US
dc.description.sponsorshipTUBITAK (The Scientific and Technological Research Council of Turkey)en_US
dc.description.sponsorshipM. Yavuz was supported by TUBITAK (The Scientific and Technological Research Council of Turkey). The authors would like to thank the reviewers for their thoughtful comments and careful efforts towards improving our manuscript.en_US
dc.identifier.doi10.3390/fractalfract4030035
dc.identifier.issn2504-3110
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85089851294en_US
dc.identifier.urihttps://doi.org/10.3390/fractalfract4030035
dc.identifier.urihttps://hdl.handle.net/20.500.12452/15898
dc.identifier.volume4en_US
dc.identifier.wosWOS:000578902500001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofFractal And Fractionalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCaputo Fractional Derivativeen_US
dc.subjectPredator-Prey Modelen_US
dc.subjectHarvesting Rateen_US
dc.subjectStability Analysisen_US
dc.subjectEquilibrium Pointen_US
dc.subjectImplicit Discretization Numerical Schemeen_US
dc.titleStability Analysis and Numerical Computation of the Fractional Predator-Prey Model with the Harvesting Rateen_US
dc.typeArticleen_US

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