文献类型：期刊文献

英文题名：An SIQRS Model of Infectious Diseases with Time-Delayed Control Measures

作者：Fan, Yufei[1,2]; Meng, Xueyu[1,2,3]; Qiao, Yanan[3,4]; Cui, Junying[3]; Ma, Junchao[3,5]; Cai, Zhiqiang[1,2]

机构：[1] School of Mechanical Engineering, Northwestern Polytechnical University, Department of Industrial Engineering, Xi'an, 710072, China; [2] Northwestern Polytechnical University, Min. of Indust. and Info. Technol. Key Lab. of Industrial Engineering and Intelligent Manufacturing, Xi'an, 710072, China; [3] University of Fribourg, Department of Physics, Fribourg, 1700, Switzerland; [4] Institute of Finance and Economics, Zhengzhou University of Science and Technology, Zhengzhou, 450064, China; [5] School of Business and Research Center for Econophysics, East China University of Science and Technology, Shanghai, 200237, China

年份：2023

起止页码：1188

外文期刊名：2023 IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2023

收录：EI(收录号：20240915648128)

语种：英文

摘要：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. ? 2023 IEEE.