An SIQRS Model of Infectious Diseases with Time-Delayed Control Measures

Yufei Fan, Xueyu Meng, Yanan Qiao, Junying Cui, Junchao Ma, Zhiqiang Cai

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper, we develop a modified SIQRS (susceptible-infected-quarantined-recovered-susceptible) compartmental model of infectious diseases based on the mean field theory of heterogeneous networks to analyze the effect of time-delayed quarantine measures on the transmission of infectious diseases. First, considering the nonlinear infection rate with social network structure, this paper establishes a modified SIQRS compartmental model on heterogeneous network, and introduces two time-delayed parameters into the corresponding ordinary differential equation model. Then, the basic reproduction number R_{0} of this model is obtained by regeneration matrix method, and the threshold conditions of infection outbreak are analyzed. Then, the disease-free equilibrium point (DFE) and the endemic disease equilibrium point (EDE) are obtained when the system is stable under different conditions, and the stability analysis of these two points is performed. Finally, the transmission mechanism of infectious diseases in reality is analyzed by numerical simulation, and the corresponding prevention and control measures are proposed.

Original languageEnglish
Title of host publication2023 IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2023
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1188-1193
Number of pages6
ISBN (Electronic)9798350323153
DOIs
StatePublished - 2023
Event2023 IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2023 - Singapore, Singapore
Duration: 18 Dec 202321 Dec 2023

Publication series

Name2023 IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2023

Conference

Conference2023 IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2023
Country/TerritorySingapore
CitySingapore
Period18/12/2321/12/23

Keywords

  • heterogeneous network
  • SIQRS compartmental model
  • threshold analysis
  • time-delayed control measures

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