Optimal control and bifurcation analysis of a delayed fractional-order SIRS model with general incidence rate and delayed control
Articles
Conghui Xu
University of Science and Technology Beijing
Yongguang Yu
Beijing Jiaotong University
Guojian Ren
Beijing Jiaotong University
Xinhui Si
University of Science and Technology Beijing
Published 2024-07-01
https://doi.org/10.15388/namc.2024.29.35789
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Keywords

optimal control
bifurcation analysis
fractional-order epidemic model
time delay
COVID-19 pandemic

How to Cite

Xu, C. (2024) “Optimal control and bifurcation analysis of a delayed fractional-order SIRS model with general incidence rate and delayed control”, Nonlinear Analysis: Modelling and Control, 29(5), pp. 890–913. doi:10.15388/namc.2024.29.35789.

Abstract

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.

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