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The Dynamics Of Information-Epidemic Transmission Based On The Ising Model

Posted on:2022-10-15Degree:MasterType:Thesis
Country:ChinaCandidate:Y X ZhangFull Text:PDF
GTID:2480306734965129Subject:Theoretical Physics
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This work mainly studies microblogging platform of information communication network topologies,and connecting with the real data,the classic model of information-the spread of disease(-model)on the creative improvement,enhanced through the study of personal vigilance will effectively restrain disease outbreaks,and keep the importance of rational during a pandemic.In the first chapter,the research status of complex networks and propagation dynamics is reviewed.The second chapter and the third chapter on the basis of the work related knowledge summarized and introduced in detail,including knowledge of complex networks and transmission dynamics and the basis of classical model,the phase transformation model-Ising model and describe the space state transition model of Markov process as well as an important method used in numerical calculation and simulation-Monte Carlo method.The fourth and fifth chapters are the main work contents,mainly including the following parts:1.Through the collection and processing of real data in sina weibo,we reconstruct the transmission network of some topics on the Weibo platform,conduct visual analysis,and calculate and statistics the topological indicators of relevant networks,which helps us to have a clear understanding of online social networks in the real world as a whole.2.Sickness coevolutionary dynamics,based on the information,and under the framework of double layer in the network,we consider the individual vigilance and discuss common dependencies between effect,on the dependencies between the three different assumptions,through the analysis and calculation and numerical simulation,we show that the individual vigilance and discuss the positive correlation between common dependence will help curb the spread of the epidemic.In some cases,even if the number of people with information about the disease does not increase,heightened vigilance by individuals can limit the eventual size of the outbreak.3.Based on considering the irrational people exist in the real world,we in the model in individual vigilance and discuss common negative correlation between dependent on behalf of the irrational individual in the crowd,through simulation experiment,found that the existence of irrational individual would weaken the inhibitory effect of information dissemination to the epidemic,and in some extreme cases,when most people lose their rational,information will not be able to inhibit the spread of epidemics.4.We also briefly studied the influence of network structure on the transmission process.Most networks in the real world are scale-free.We assume that the distribution of irrational people can be divided into three situations :(1)they are distributed in the nodes with high intermediate value of the disease network;(2)It was distributed in the nodes with low moderate value of disease network;(3)Random distribution.Through experiments,we confirmed that under the premise of low infection rate,when the irrational population is randomly distributed in the network or distributed in the node with the highest degree value,the increase of irrational population proportion will significantly expand the scale of the infected population;However,when the irrational population is distributed in the nodes with low degree value,it has little effect.The main significance of this work is as follows:1.Visualization of information transmission network helps us to understand the structural characteristics of complex network from a macro perspective.Simply analyzing and summarizing the topological structure of information transmission network can help us to have a deeper understanding of the real social network.2.Discusses the influence of individual vigilance dependence on the prevalence of disease awareness can help us better understand the co-evolutionary dynamics between epidemics and information dissemination.The findings reinforce not only the role of information dissemination in curbing epidemics,but also the importance of maintaining individual rationality.
Keywords/Search Tags:complex network, propagation dynamics, network topology, information-epidemic coevolution
PDF Full Text Request
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