Dynamical behavior of tumor-immune system with fractal-fractional operator

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dc.authoridFarman, Dr. Muhamamd/0000-0001-7616-0500
dc.authoridVIJAYAKUMAR, Dr. VELUSAMY/0000-0001-5976-5794
dc.authoridSaleem, Prof. Dr. Muhammad Umer/0000-0002-2263-3373
dc.contributor.authorFarman, Muhammad
dc.contributor.authorAhmad, Aqeel
dc.contributor.authorAkgul, Ali
dc.contributor.authorSaleem, Muhammad Umer
dc.contributor.authorNisar, Kottakkaran Sooppy
dc.contributor.authorVijayakumar, Velusamy
dc.date.accessioned2024-12-24T19:34:00Z
dc.date.available2024-12-24T19:34:00Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this paper, the dynamical behavior of the fractional-order cancer model has been analyzed with the fractal-fractional operator, which discretized the conformable cancer model. The fractional-order model consists of the system of nonlinear fractional differential equations. Also, we discuss the fractional-order model to check the relationship between the immune system and cancer cells by mixing IL-12 cytokine and anti-PD-L1 inhibitor. The tumor-immune model has been studied qualitatively as well as quantitatively via Atangana-Baleanu fractal-fractional operator. The nonlinear analysis is used to check the Ulam-Hyres stability of the proposed model. Moreover, the dynamical behavior for the fractional-order model has been checked by using a fractal-fractional operator with a generalized Mittag-Leffler Kernel and verifying the effect of fractional parameters. Finally, the obtained solutions are interpreted biologically, and simulations are carried out to illustrate cancer disease and support theoretical results, which will be helpful for further analysis and to control the effect of cancer in the community.
dc.identifier.doi10.3934/math.2022489
dc.identifier.endpage8773
dc.identifier.issn2473-6988
dc.identifier.issue5
dc.identifier.scopus2-s2.0-85129802812
dc.identifier.scopusqualityQ1
dc.identifier.startpage8751
dc.identifier.urihttps://doi.org/10.3934/math.2022489
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8382
dc.identifier.volume7
dc.identifier.wosWOS:000766737000004
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofAims Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjecttumor-immune model
dc.subjectIL-12 cytokin
dc.subjectanti-PD-L1 inhibitor
dc.subjectfractional operator
dc.subjectMittag-Leffler kernel
dc.subjectexistence-uniqueness
dc.subjectUlam-Hyres stability
dc.titleDynamical behavior of tumor-immune system with fractal-fractional operator
dc.typeArticle

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