Bifurcation behavior and PDcontrol mechanism of a fractional delayed genetic regulatory model

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dc.contributor.authorLi, Peiluan
dc.contributor.authorGao, Rong
dc.contributor.authorXu, Changjin
dc.contributor.authorAhmad, Shabir
dc.contributor.authorLi, Ying
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:25:27Z
dc.date.available2024-12-24T19:25:27Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractIt is crucial for us to build genetic regulatory models to reveal the relationship between genes and protein efficaciously. In this work, a novel fractional delayed genetic regulatory model is built. For one thing, we explore the peculiarity of the solution of the fractional delayed genetic regulatory model. Some sufficient conditions on the existence and uniqueness, non-negativeness and boundedness of the solution to the fractional delayed genetic regulatory model are acquired. Secondly, the stability trait and the appearance of bifurcation have been discussed at length. Thirdly, by virtue of PD ?????? controller, we availably dominate the time of appearance of bifurcation of the fractional delayed genetic regulatory model. Finally, simulation plots are displayed to sustain the acquired crucial results. The acquired conclusions in this study are entirely innovative and own great potential value in dominating the balance of genes and protein in genetic regulatory models.
dc.description.sponsorshipNational Natural Science Foundation of China [12261015, 62062018]; Project of High-level Innovative Talents of Guizhou Province, China; Guizhou Key Laboratory of Big Data Statistical Analysis, China; Key Project of Hunan Education Department, China [5736-019]; University Science and Technology Top Talents Project of Guizhou Province, China; Foundation of Science and Technology of Guizhou Province, China; Guizhou University of Finance and Economics, China [5103]; Guizhou Science and Technology Platform Talents, China [047]; Guizhou University of Finance and Economics, China [1051]; Ministry of Commerce on Contiguous areas of extreme poverty Poor peasant psychological Poverty alleviation, China; [17A181]; [2018XZD01]; [2017SWBZD09]; [5651]
dc.description.sponsorshipAcknowledgments This work is supported by National Natural Science Foundation of China (No. 12261015, No. 62062018) , Project of High-level Innovative Talents of Guizhou Province, China ( [2016] 5651) , Guizhou Key Laboratory of Big Data Statistical Analysis, China (No. [2019] 5103) , Key Project of Hunan Education Department, China (17A181) , University Science and Technology Top Talents Project of Guizhou Province, China (KY [2018] 047) , Foundation of Science and Technology of Guizhou Province, China ( [2019] 1051) , Guizhou University of Finance and Economics, China (2018XZD01) , Guizhou Science and Technology Platform Talents, China ( [2017] 5736-019) , Guizhou University of Finance and Economics, China Project Funding (2019XYB11) and Joint Fund Project of Guizhou University of Finance and Economics and Institute of International Trade and Economic Cooperation of Ministry of Commerce on Contiguous areas of extreme poverty Poor peasant psychological Poverty alleviation, China (2017SWBZD09) .
dc.identifier.doi10.1016/j.chaos.2023.113219
dc.identifier.issn0960-0779
dc.identifier.issn1873-2887
dc.identifier.scopus2-s2.0-85149058779
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.chaos.2023.113219
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6421
dc.identifier.volume168
dc.identifier.wosWOS:001015910700001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.ispartofChaos Solitons & Fractals
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectFractional-order genetic regulatory model
dc.subjectPeculiarity of solution
dc.subjectHopf bifurcation
dc.subjectStability
dc.subjectPDcontroller
dc.titleBifurcation behavior and PDcontrol mechanism of a fractional delayed genetic regulatory model
dc.typeArticle

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