Optimal control and bifurcation analysis of a delayed fractional-order SIRS model with general incidence rate and delayed control

A fractional-order generalized SIRS model considering incubation period is established in this paper for the transmission of emerging pathogens. The corresponding Hopf bifurcation is discussed by selecting time delay as the bifurcation parameter. In order to control the occurrence of Hopf bifurcati...

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Main Authors: Conghui Xu, Yongguang Yu, Guojian Ren, Xinhui Si
Format: Article
Language:English
Published: Vilnius University Press 2024-07-01
Series:Nonlinear Analysis
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Online Access:https://journals.vu.lt./nonlinear-analysis/article/view/35789
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author Conghui Xu
Yongguang Yu
Guojian Ren
Xinhui Si
author_facet Conghui Xu
Yongguang Yu
Guojian Ren
Xinhui Si
author_sort Conghui Xu
collection DOAJ
description A fractional-order generalized SIRS model considering incubation period is established in this paper for the transmission of emerging pathogens. The corresponding Hopf bifurcation is discussed by selecting time delay as the bifurcation parameter. In order to control the occurrence of Hopf bifurcation and achieve better dynamic behaviors, a delayed feedback control is adopted to the model. Further, the delayed fractional-order optimal control problem (DFOCP) is proposed and discussed. The parameters of the proposed model are identified through the measurement data of coronavirus disease 2019 (COVID-19). Based on the results of parameter identification, the corresponding DFOCP with delayed control is numerically solved.
format Article
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institution Kabale University
issn 1392-5113
2335-8963
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publishDate 2024-07-01
publisher Vilnius University Press
record_format Article
series Nonlinear Analysis
spelling doaj-art-d09969da20294618b671496fa533ef5b2025-02-03T07:06:25ZengVilnius University PressNonlinear Analysis1392-51132335-89632024-07-0129510.15388/namc.2024.29.35789Optimal control and bifurcation analysis of a delayed fractional-order SIRS model with general incidence rate and delayed controlConghui Xu0Yongguang Yu1Guojian Ren2Xinhui Si3University of Science and Technology BeijingBeijing Jiaotong UniversityBeijing Jiaotong UniversityUniversity of Science and Technology Beijing A fractional-order generalized SIRS model considering incubation period is established in this paper for the transmission of emerging pathogens. The corresponding Hopf bifurcation is discussed by selecting time delay as the bifurcation parameter. In order to control the occurrence of Hopf bifurcation and achieve better dynamic behaviors, a delayed feedback control is adopted to the model. Further, the delayed fractional-order optimal control problem (DFOCP) is proposed and discussed. The parameters of the proposed model are identified through the measurement data of coronavirus disease 2019 (COVID-19). Based on the results of parameter identification, the corresponding DFOCP with delayed control is numerically solved. https://journals.vu.lt./nonlinear-analysis/article/view/35789optimal controlbifurcation analysisfractional-order epidemic modeltime delayCOVID-19 pandemic
spellingShingle Conghui Xu
Yongguang Yu
Guojian Ren
Xinhui Si
Optimal control and bifurcation analysis of a delayed fractional-order SIRS model with general incidence rate and delayed control
Nonlinear Analysis
optimal control
bifurcation analysis
fractional-order epidemic model
time delay
COVID-19 pandemic
title Optimal control and bifurcation analysis of a delayed fractional-order SIRS model with general incidence rate and delayed control
title_full Optimal control and bifurcation analysis of a delayed fractional-order SIRS model with general incidence rate and delayed control
title_fullStr Optimal control and bifurcation analysis of a delayed fractional-order SIRS model with general incidence rate and delayed control
title_full_unstemmed Optimal control and bifurcation analysis of a delayed fractional-order SIRS model with general incidence rate and delayed control
title_short Optimal control and bifurcation analysis of a delayed fractional-order SIRS model with general incidence rate and delayed control
title_sort optimal control and bifurcation analysis of a delayed fractional order sirs model with general incidence rate and delayed control
topic optimal control
bifurcation analysis
fractional-order epidemic model
time delay
COVID-19 pandemic
url https://journals.vu.lt./nonlinear-analysis/article/view/35789
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AT guojianren optimalcontrolandbifurcationanalysisofadelayedfractionalordersirsmodelwithgeneralincidencerateanddelayedcontrol
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