Discretization and chaos control in a fractional order predator-prey harvesting model

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dc.contributor.authorSelwam, Maria G.
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2022-12-23T12:09:32Z
dc.date.available2022-12-23T12:09:32Z
dc.date.issued2021
dc.description.abstractThe study of interaction between predator and prey species is one of the important subjects in mathematical biology. Optimal strategy control plays a vital role in preserving animals from extinction. Harvesting of species is a vital issue for the conservation biologists. In this work, we investigate the bifurcation and chaos control of the two species interaction model of fractional order in discrete time with harvesting of both prey and predator species. Existence results and the stability conditions of the system are analyzed using the fixed points and jacobian matrix. The chaotic behavior of the system is discussed with bifurcation diagrams. Linear control and hybrid control methods are used in controlling the chaos of the system. Numerical experiments with different phase portraits are simulated for the better understanding of the qualitative behavior of the considered model.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage964tr_TR
dc.identifier.issn/e-issn1303-5991
dc.identifier.issue2tr_TR
dc.identifier.startpage950tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.772825tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/86421
dc.identifier.volume70tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.772825tr_TR
dc.relation.journalCommunications, Series A1:Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectPopulation dynamics, fractional order, discrete, Neimark-Sacker bifurcation, Flip bifurcationstr_TR
dc.titleDiscretization and chaos control in a fractional order predator-prey harvesting modeltr_TR
dc.typeArticletr_TR

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Cilt:70 Sayı:02 (2021)