TY - GEN
T1 - An SIQRS Model of Infectious Diseases with Time-Delayed Control Measures
AU - Fan, Yufei
AU - Meng, Xueyu
AU - Qiao, Yanan
AU - Cui, Junying
AU - Ma, Junchao
AU - Cai, Zhiqiang
N1 - Publisher Copyright:
© 2023 IEEE.
PY - 2023
Y1 - 2023
N2 - 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.
AB - 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.
KW - heterogeneous network
KW - SIQRS compartmental model
KW - threshold analysis
KW - time-delayed control measures
UR - http://www.scopus.com/inward/record.url?scp=85186087505&partnerID=8YFLogxK
U2 - 10.1109/IEEM58616.2023.10406551
DO - 10.1109/IEEM58616.2023.10406551
M3 - 会议稿件
AN - SCOPUS:85186087505
T3 - 2023 IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2023
SP - 1188
EP - 1193
BT - 2023 IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2023
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2023 IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2023
Y2 - 18 December 2023 through 21 December 2023
ER -
