Research On Optimal Investment Strategy Of Epdemic Prevention From A Scale-Free Network Perspective

At present,the world is facing the threat of many infectious diseases,including COID-19,SARS,influenza and so on.How to prevent and con-trol these infectious diseases in the network is an important issue.In order to reduce the harm of these infectious diseases to the society,it is necessary to study and formulate the prevention and control strategies scientifically.As a common network topology,Scale-free networks are highly heteroge-neous and complex,which can provide insight into the propagation law and characteristics of infectious diseases in complex networks,it can be a useful reference for more scientific and effective prevention and control strategy of infectious diseases.This paper consists of four chapters.The first chapter briefly intro-duces the background and significance of the research,the present situation of the research on infectious disease model,and then introduces the basic knowledge,these include the dynamics of two types of infectious disease transmission models in scale-free network.Secondly,based on the SIR model,the infection probability and conversion rate are introduced to ob-tain a new infectious disease transmission model,the SEIR model.The basic regeneration number and equilibrium point of the SEIR model are obtained through the constructor,and it is proved that when the basic re-generation number₀ When 0 does not exceed 1,infectious diseases will gradually disappear without government intervention;When the basic re-generation number is greater than the propagation threshold,Viruses will continue to circulate in complex networks.In chapter 2,based on the classical SIR model and the characteristics of the spread of infectious diseases,Taking into account the characteristics of the spread of infectious diseases and the topology of the scale-free net-work networks in complex networks,the priority connection network is introduced,the basic reproduction number and spread threshold of the scale-free network infectious disease model are calculated to simulate the spread of infectious diseases in the real world,and the optimal investment in property loss spillover is obtained,reduce the risk of an epidemic spread-ing through the internet.In chapter 3,based on Sir Model,the infection probability and trans-formation rate are introduced,and a new epidemic model with SEIR is es-tablished.The basic reproductive number and the equilibrium point in SEIR model are obtained by using the constructive function.The results show that when the basic reproductive number₀ is less than 1,the in-fectious diseases will disappear gradually without government intervention When the basic reproduction number exceeds the propagation threshold,the virus will continue to spread in the network.The fourth chapter reviews and summarizes the full text,points out the limitations of this study and looks forward to the future research direc-tion and objectives of this topic.