Study On The Spread Of Infectious Diseases Based On Individual Behavior In Complex Networks

The complex network is an interdisciplina ry discipline whose scope of research involves many subject areas such as biological sciences,statistical physics sciences,information sciences,and social sciences.Because the object of complex network research is universal,many researchers at home an d abroad pay much attention.Among them,the study of the propagation dynamics of infectious diseases in complex networks is one of the most concerned issues.In the past research on transmission of infectious diseases,most of them use ideal propagation m odels such as SI propagation model,SIR propagation model,and SIS propagation model.However,in real life,different individuals may have different behavioral responses after the outbreak of infectious diseases.Some individuals will pay attention to inf ectious diseases after receiving relevant information on infectious diseases.However,some individuals do not attach importance to infectious diseases,and they pay attention to infection.The sick individual naturally takes some measures to prevent infec tious diseases.At the same time,these behaviors in turn have a considerable impact on the spread and outbreak of infectious diseases.Therefore,considering the behavioral responses of individuals in the establishment of an epidemic model of infectious d iseases,it is possible to more realistically simulate the process of infectious disease transmission and to understand the laws of the spread of infectious diseases,so that one can design more effective prevention strategies to control the spread of infe ctious diseases.Based on the above factors,this paper is based on the study of several classic propagation models,and proposes an infectious disease transmission model with individual emphasis.The impact of individual-valued behaviors on the spread of infectious diseases and the spread of individual behavior on infectious diseases with latent period are studied.influences.The main research work of this paper is as follows:Firstly,according to the heterogeneity of the scale-free network,the relationship between the number of individuals infected by neighbors and the behavior of individual attention is used to construct an effective infection rate of infectious diseases related to the individual's value of behavior,and an SIR epidemic transmission model based on individual-valued behavior is proposed.Using the method of the mean field theory,the influence of individuals on the behavior of infectious diseases and the number of healthy individuals with individual-valued behaviors in the network are studied.Theoretical analysis and numerical simulation results show that,compared with the classical SIR model,the SIR epidemic propagation model with individual emphasis on behavior not only increases the critical value of the spread of infectious disease s,slows the spread of infectious diseases,but also reduced the scale of outbreaks of infectious diseases.In addition,increasing the importance of a healthy individual or increasing the number of individuals with an emphasis on behavior can also effecti vely increase the transmission threshold of infectious diseases,reduce the spread of infectious diseases,and the scale of outbreaks of infectious diseases.Secondly,the effects of individual behavior on the spread of infectious diseases with latent period were studied.Aiming at the interaction between infectious disease and individual behavioral response with latent period,an alert state was introduced based on the SEIRS epidemic propagation model,and a new SAEIRS propagation model was proposed.Using the method of mean field theory,it is analyzed that the propagation threshold of the improved SAEIRS propagation model is mainly related to the latency,alertness,and the intensity of individual alertness behavior.Theoretical analysis and numerical simulation results show that increasing the alertness rate can reduce the infectious disease scale;increasing the probability that the latent state becomes infected can also reduce the infectious scale of infectious diseases;the greater the alertness of individual alertness,the greater the probability of infection.The smaller,thereby reducing the scale of infectious diseases.