Epidemic Dynamics And Node Immunization Strategy In A Network With Multiple Infection Rates

With the continuous progress of the global networking process,the trans regional circulation of personnel is increasingly frequent,which brings about the spread and spread of infectious diseases.In view of the spread of infectious disease virus,a variety of classic virus propagation models have been proposed to analyze the characteristics of the virus,control the spread of the virus,and give a variety of immune strategies to inhibit the outbreak of the virus.At the same time,under the background of realistic era,people can get real-time reports of large epidemics in many ways.To a certain extent,these information will also affect people's resistance to viruses,thereby affecting the spread of viruses.In addition to biological viruses,computer network viruses are developing more and more easily with the development of Internet.However,because each person's physical quality,immunity and the importance of infectious disease information are different,the individual's ability to resist infectious diseases is also different.Considering the complexity of the network,we introduce the individual diversity into the classic virus model,analyze the threshold of virus transmission by numerical calculation,compare the differences and advantages of various immune strategies,and propose an immune strategy suitable for multiple infection rates,so as to achieve the purpose of controlling virus transmission.The research content and success of this paper are as follows:First,considering the individual difference,the elderly and children have higher probability of infection than adults.The SI₁I₂S model with multiple infection rates on the scale-free network is established,and the differential equation is analyzed in steady state.The threshold expression consisting of two kinds of propagation rates is derived.Through the simulation,through the analysis of the generated scale-free network parameters,the effective infection rate range is determined,the virus propagation process is simulated in a given range,the final state of the virus stability is obtained.The threshold value of the simulation is compared with the theoretical threshold to verify the validity of the threshold common formula.Second,considering the effectiveness of various classical immune strategies to SI₁I₂S model,we compare the final threshold formulas to compare the advantages and disadvantages of different immune strategies.On this basis,we propose a target immune strategy with different transmission rates and solve the threshold expression under the target immune strategy.Research shows that targeted immunization for people with high infection rate can better achieve the requirements of immunization strategy and achieve the expected immune effect.Finally,in order to better show the virus propagation process in real network,a double layer network structure is constructed,and a double layer network communication model with multiple infection rates is proposed.The threshold expression of the two layer network is derived through theoretical deduction,and the appropriate data is selected to carry out simulation research to verify the accuracy of the threshold conclusion.The research shows that the spread of upper level information network has a certain effect on the spread of virus to a certain extent.