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HOPF BIFURCATION ANALYSIS OF A FRACTIONAL-ORDER HOLLING-TANNER PREDATOR-PREY MODEL WITH TIME DELAY

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dc.contributor.authorCelik, C.
dc.contributor.authorDegerlI, K.
dc.date.accessioned2026-06-27T14:45:16Z
dc.date.issued2022
dc.description.abstractWe study a fractional-order delayed predator-prey model with Honing -Tanner-type functional response. Mainly, by choosing the delay time tau as the bifurcation parameter, we show that Hopf bifurcation can occur as the delay time tau passes some critical values. The local stability of a positive equilibrium and the existence of the Hopf bifurcations are established, and numerical simulations for justifying the theoretical analysis are also presented.en
dc.description.urihttps://doi.org/10.1017/s1446181122000025
dc.identifier.doi10.1017/s1446181122000025
dc.identifier.eissn1446-8735
dc.identifier.endpage39
dc.identifier.issn1446-1811
dc.identifier.issue1
dc.identifier.startpage23
dc.identifier.urihttps://hdl.handle.net/20.500.14981/64347
dc.identifier.volume64
dc.identifier.wos000778894100001
dc.language.isoeng
dc.publisherCAMBRIDGE UNIV PRESS
dc.relation.ispartofANZIAM JOURNAL
dc.subjectfractional-order
dc.subjecttime-delay
dc.subjectHopf bifurcation
dc.subjectpredator-prey system
dc.subjectSTABILITY
dc.subjectSYSTEM
dc.subjectDISCRETE
dc.subjectMathematics
dc.titleHOPF BIFURCATION ANALYSIS OF A FRACTIONAL-ORDER HOLLING-TANNER PREDATOR-PREY MODEL WITH TIME DELAY
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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