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DYNAMICAL ANALYSIS OF THE CONFORMABLE FRACTIONAL ORDER HOST-PARASITE MODEL

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Özet

In this study, the differential equation system with a mathematical model of parasites is examined in cases where infection does not depend on transmission and defense, but on the level of infectivity and defense of the parasite and host. When discretization is applied to the differential equation, a two-dimensional discrete system is obtained in the range of t ∈ [n, n + 1] then the stability of the Neimark-Sacker bifurcation of the positive equilibrium point of this discrete system is investigated. Finally, MAPLE and MATLAB package program are used to show the accuracy of the results obtained.

Anahtar Kelimeler

discrete dynamical systemhost-parasite modelNeimark-Sacker bifurcation
RDL Kalıcı Bağlantı (PID)
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorŞişman, Şeyma
dc.contributor.authorMerdan, Mehmet
dc.date.accessioned2026-10-22T10:22:53.948308472Z
dc.date.available2026-10-22T10:22:53.948308472Z
dc.date.issued2022
dc.description.abstractIn this study, the differential equation system with a mathematical model of parasites is examined in cases where infection does not depend on transmission and defense, but on the level of infectivity and defense of the parasite and host. When discretization is applied to the differential equation, a two-dimensional discrete system is obtained in the range of t ∈ [n, n + 1] then the stability of the Neimark-Sacker bifurcation of the positive equilibrium point of this discrete system is investigated. Finally, MAPLE and MATLAB package program are used to show the accuracy of the results obtained.
dc.identifier.endpage132
dc.identifier.issn1454-9069
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85133453339
dc.identifier.startpage123
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/14591
dc.identifier.volume23
dc.identifier.wosWOS:000817811400004
dc.language.isoen
dc.publisherPublishing House of the Romanian Academy
dc.relation.ispartofProceedings of the Romanian Academy Series A - Mathematics Physics Technical Sciences Information Science
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectdiscrete dynamical system
dc.subjecthost-parasite model
dc.subjectNeimark-Sacker bifurcation
dc.subject.classificationMultidisciplinary Sciences
dc.subject.classificationScience & Technology - Other Topics
dc.subject.otherNEIMARK-SACKER BIFURCATION
dc.subject.otherGLOBAL STABILITY
dc.subject.otherCHAOS
dc.titleDYNAMICAL ANALYSIS OF THE CONFORMABLE FRACTIONAL ORDER HOST-PARASITE MODEL
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus0
rdl.citation.wos0
rdl.oa.statusclosed
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)