Research On Random Immune Strategy On Multiplex Networks

With the global pandemic of new coronary pneumonia,research on the spread of infectious diseases on complex networks has attracted more and more attention.The use of complex networks to portray the real society has achieved many results at home and abroad.Among them,the research of complex networks has also developed from the research of single-layer networks to the research on multiplex networks that are more realistic.The propagation process in multiplex networks Research is a new and fast-developing research field,facing many challenging problems.The global outbreak of new crown pneumonia has brought huge losses to people,and it still affects people's lives and work.The method of controlling the spread of the new crown has had a huge impact on social production and people's lives,and vaccination is a more effective method.The distribution of limited vaccines is as important as the control of the spread of infectious diseases.The structure of the human contact network is very complex,and there are many factors that affect the spread of infectious diseases.Our work is to use a more realistic human contact multiplex network to study infectious disease immunization strategies and vaccine propaganda methods.The specific content of the work is as follows:(1)The selection strategy of the immune layer in the multiplex network with different average degrees within the layer is studied.We established a multiplex network based on the different frequency of social interaction between people of different age groups,and examined the impact of immunization on different layers in a multiplex network with different average levels of nodes in the layers on the spread of infectious diseases.The research results show that a network layer with a large average degree of immunity is more conducive to controlling the spread of infectious diseases in the network,and there is an optimal value for the number of immunizations.If the number of vaccines is sufficient,it will be allocated to the network layer with the most average degree of spread that is the easiest to spread,and then in turn for the network layer with the highest average degree,if the number of vaccines is insufficient,try to allocate to the network layer with the optimal number of immunizations closest to the number of vaccines.(2)The selection strategy of the immune layer in the multiplex network with different susceptibility of nodes in the layer is studied.We established a multiplex network based on the different susceptibility of people of different ages to infectious diseases,and examined the impact of immunization on network layers with different susceptibility on the spread of infectious diseases in the multiplex network.The results of the study indicate that if the number of vaccines is sufficient,they will be allocated to the most susceptible network layer that is the easiest to spread,and then to the network layer that is the second most susceptible.If the number of vaccines is insufficient,try to allocate to the optimal immune number closest to the number of vaccines.Network layer.The average degree and susceptibility of nodes are also investigated for the effect of the multiplex network immunity strategy,and it is found that the average degree and susceptibility of the network layer have the same influence on the spread of the network.(3)Study the effect of immunization propaganda in the double-layer network composed of family and work unit.In the study of the effect of immunization propaganda on the double-layer network of the family and the work unit,we examined the impact of two ways of persuading family members and persuading colleagues on the spread of infectious diseases.It is found that when the number of individuals who can persuade is the same,persuading colleagues can more effectively control the overall spread of the network,but whether it is persuading colleagues or persuading family members is much better than not persuading acquaintances to rely solely on government propaganda.