Chaotic dynamics of a fractional order HIV-1 model involving AIDS-related cancer cells

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dc.contributor.authorNaik, Parvaiz Ahmad
dc.contributor.authorOwolabi, Kolade M.
dc.contributor.authorYavuz, Mehmet
dc.contributor.authorZu, Jian
dc.date.accessioned2024-02-23T14:02:24Z
dc.date.available2024-02-23T14:02:24Z
dc.date.issued2020
dc.departmentNEÜen_US
dc.description.abstractMathematical models in epidemiology have been studied in the literature to understand the mechanism that underlies AIDS-related cancers, providing us with a better insight towards cancer immunity and viral oncogenesis. In this study, we propose a dynamical fractional order HIV-1 model in Caputo sense which involves the interactions between cancer cells, healthy CD4(+)T lymphocytes, and virus infected CD4(+)T lymphocytes leading to chaotic behavior. The model has been investigated for the existence and uniqueness of its solution via fixed point theory, while the unique non-negative solution remains bounded within the biologically feasible region. The stability analysis of the model is performed and the biological relevance of the equilibria is also discussed in the paper. The numerical simulations are obtained under different instances of fractional order alpha. It is observed that, as the fractional power decreases from 'one' the chaotic behavior becomes more and more attractive. The existence of chaotic attractors for various species interaction has been observed in 2D and 3D cases. The time series evolution of the species show ing different distributions under different fractional order alpha. The results show that order of the fractional derivative has a significant effect on the dynamic process. (c) 2020 Elsevier Ltd. All rights reserved.en_US
dc.description.sponsorshipChina Postdoctoral Science Foundation [2019M663653, 2014M560755]; National Natural Science Foundation of China [11971375, 11571272, 11201368, 11631012]; National Science and Technology major project of China [2018ZX10721202]; Natural Science Foundation of Shaanxi Province [2019JM-273]; TUBITAK (The Scientific and Technological Research Council of Turkey)en_US
dc.description.sponsorshipThe authors would like to thank the reviewers and editors of this paper for their careful attention to detail and constructive feedback that improved the presentation of the paper greatly. The study was supported by grants from the China Postdoctoral Science Foundation (Grant Nos. 2019M663653 and 2014M560755), the National Natural Science Foundation of China (Grant Nos. 11971375, 11571272, 11201368 and 11631012), the National Science and Technology major project of China (Grant No. 2018ZX10721202) and grant from the Natural Science Foundation of Shaanxi Province (Grant No. 2019JM-273). The funding body did not play any roles in the design of the study and in writing the manuscript.; M. Yavuz was supported by TUBITAK (The Scientific and Technological Research Council of Turkey).en_US
dc.identifier.doi10.1016/j.chaos.2020.110272
dc.identifier.issn0960-0779
dc.identifier.issn1873-2887
dc.identifier.scopus2-s2.0-85090403166en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1016/j.chaos.2020.110272
dc.identifier.urihttps://hdl.handle.net/20.500.12452/11697
dc.identifier.volume140en_US
dc.identifier.wosWOS:000596299500010en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofChaos Solitons & Fractalsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectHiv-1 Modelen_US
dc.subjectCancersen_US
dc.subjectCaputo Fractional Derivativeen_US
dc.subjectStability Analysisen_US
dc.subjectChaotic Attractorsen_US
dc.subjectAdams-Bashforth Numerical Schemeen_US
dc.titleChaotic dynamics of a fractional order HIV-1 model involving AIDS-related cancer cellsen_US
dc.typeArticleen_US

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