The Research Of Epidemic Propagation And Control Based On Specific Network

In recent years,all kinds of infectious diseases outbreak and spread around the country,which cause great psychological panic,but also a great threat to society.Despite the level of medical science and technology is constantly developing,but there are still a variety of new infectious diseases appear and threaten people's health.How to cut the spread of infectious diseases,and how to reduce the harm caused by the spread are both important problems to be solved in the current society.Therefore,it is very important to study the propagation dynamics and its characteristic of epidemiology,which is based on the complex network theory.It can provide theoretical support for people to study the spread of disease in the crowd.The research of network model and the dynamics of infectious diseases on complex networks are the most popular research.More and more researchers have devoted themselves in this field and have done a lot of research work.They have put forward a lot of feasible and effective network models,propagation models and immune strategies to curb the spread of the virus.In addition,i t is generally believed that human beings are now in another important historical turning point a fter the Industrial Revolution-“Net-volution”.Our predecessors have achieved fruitful results in this field.But with the aggravation of social networking,the relationship between people is more closely and the connection is more complex,which also have a great impact on the research of network models and the spread of infectious diseases.Based on the existing researches,this thesis uses mathematical mode ling,theoretical analysis and computer simulation to study the reasonable construction of the network model.Meanwhile,it also studies the mechanism and the process of disease transmission on complex networks and designs the relevant immune strategies.S pecific design works are as follows:(1)It proposes a new network structure based on the node strength.The structure can describe the individual sociability in human social relationships by node strength,and carry out the experiment of virus transmission.Specifically,we introduce negativity degree,positivity degree and node strength to build a scale-free network based on the node strength.In the process of network construction,whether a node is linked,will directly affect its positivity degree or negativity degree,and ultimately influence the node strength.In addition,according to the strength,we can calculate the asymmetric link strength between each node and observe the effect of the link strength on virus transmission on SIS.Finally,we compare the effects of acquaintance immunization,target immune and node-based immunity on the network.(2)It propose a ‘high-link-strength-first' immunization strategy,based on the influence of different contact frequency among individuals in t he network on the spread of disease.In previous studies,the link strength among all the individuals in the default network is the same.So,the edge weight is introduced to describe the link strength between different individuals.Larger weight means closer link.Close link means that an individual is infected,which can be a great threat to another one.From the point of immune view,the relationship with a higher link strength should be cut off firstly to inhibit the spread of the disease.The results of theoretical analysis and calculation show that the immune strategy based on high-link-strength-first is effective and feasible.