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...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2024-07-01
|
| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://journals.vu.lt./nonlinear-analysis/article/view/35789 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832546430018912256 |
|---|---|
| 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 |
| id | doaj-art-d09969da20294618b671496fa533ef5b |
| institution | Kabale University |
| issn | 1392-5113 2335-8963 |
| language | English |
| 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 |
| work_keys_str_mv | AT conghuixu optimalcontrolandbifurcationanalysisofadelayedfractionalordersirsmodelwithgeneralincidencerateanddelayedcontrol AT yongguangyu optimalcontrolandbifurcationanalysisofadelayedfractionalordersirsmodelwithgeneralincidencerateanddelayedcontrol AT guojianren optimalcontrolandbifurcationanalysisofadelayedfractionalordersirsmodelwithgeneralincidencerateanddelayedcontrol AT xinhuisi optimalcontrolandbifurcationanalysisofadelayedfractionalordersirsmodelwithgeneralincidencerateanddelayedcontrol |