Analysis and dynamical behavior of fractional-order cancer model with vaccine strategy

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dc.authoridFarman, Dr. Muhamamd/0000-0001-7616-0500
dc.contributor.authorFarman, Muhammad
dc.contributor.authorAkgul, Ali
dc.contributor.authorAhmad, Aqeel
dc.contributor.authorImtiaz, Sumiyah
dc.date.accessioned2024-12-24T19:24:13Z
dc.date.available2024-12-24T19:24:13Z
dc.date.issued2020
dc.departmentSiirt Üniversitesi
dc.description.abstractIn recent year, the world has witnessed the arrival of deadly diseases like cancer over all the global levels. To fight back this disease or control the spread, mankind relies on modeling and medicine to control, cure, and behavior of the cancer diseases. We developed the fractional-order immunotherapy bladder cancer model and used the BCG vaccine for treatment by using the Caputo fractional derivative operator phi e(0,1]. A mathematical model has four variables B,E, T-i, T-u which represent the vaccine for the immune system, effector cells, total population of affected, and unaffected cells, respectively. In this model, we have two cases according to the growth rate of cells. The fractional-order system is stable in both cases and gives the solution infeasible region for uniqueness, positivity, and boundedness to illustrate the treatment of cancer. The effect of fractional parameter on our obtained solutions is presented, and a comparison is made with the classical ordinary derivative operator. It is worthy to observe that fractional derivatives show significant changes and memory effects as compared with ordinary derivatives to control the disease at the initial stage to overcome the risk of living with cancer.
dc.identifier.doi10.1002/mma.6240
dc.identifier.endpage4882
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.issue7
dc.identifier.scopus2-s2.0-85078670789
dc.identifier.scopusqualityQ1
dc.identifier.startpage4871
dc.identifier.urihttps://doi.org/10.1002/mma.6240
dc.identifier.urihttps://hdl.handle.net/20.500.12604/5902
dc.identifier.volume43
dc.identifier.wosWOS:000508527400001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWiley
dc.relation.ispartofMathematical Methods in The Applied Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectsuperficial bladder cancer
dc.subjectimmunotherapy
dc.subjectvaccine
dc.subjectstability
dc.subjectCaputo derivative
dc.subjectnumerical simulation
dc.titleAnalysis and dynamical behavior of fractional-order cancer model with vaccine strategy
dc.typeArticle

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