Research On Infectious Disease Transmission Model Based On Complex Network And Evolutionary Game

At present,the world is suffering from new coronary pneumonia,which is a highly contagious infectious disease caused by human infection with the COVID-19 virus.The sources of infection are patients with new coronary pneumonia and asymptomatic infections.The main mode of transmission is through close contact with people through the respiratory tract,contact with objects infected by the new coronavirus,etc.There are other modes of transmission waiting to be confirmed by research.How to effectively control the spread of the epidemic has become a key topic,in which community isolation is an effective means.Based on the above background,this article discusses how to effectively control the spread of the epidemic in the community.The main contents of the work are as follows:(1)Use the SEIRS model as the spreading model of infectious diseases,and use the SEIRS model to simulate the spread of viruses on complex networks.The population has a community nature,and the spread of the virus among the population is equivalent to the spread within the population community,so the virus transmission also has a community nature.This thesis uses the small-world network in the complex network to simulate the community of the crowd,and compares the nodes on the complex network to individuals,and the edges on the network represent the relationships between individuals.The SEIRS model can effectively simulate the characteristics of the incubation period and secondary infection of the infectious disease,which meets the needs of real problems.(2)Consider two isolation strategies and conduct simulation experiments on them.There are many ways of community isolation,including hospital isolation,centralized isolation,strict home isolation,etc.These all need to be controlled by external factors.Since the medical level and resources of each country and region are different,this article chooses the simple way of community isolation.Wearing a mask when traveling is a semi-closed strategy;when the epidemic is severe,you can choose to close at home without going out.(3)Through the evolutionary game,the group in the network can choose their own strategies.Among them,this thesis sets up the initialization strategy for each node,each strategy will correspond to the different income,after each round of propagation,the node will update its own state,calculate the income through the current state of the node and the selected strategy,then the node will learn from the neighbor node with the highest absolute income.This thesis calculates the probability of updating the strategy through the Fermi rule,and uses a random function to judge whether the learning is successful.The experimental results are obtained and analyzed.In summary,on the basis of considering evolutionary game and complex network,a comparative experiment for infectious disease model is designed according to the actual situation.The model established in this paper is helpful to the prevention and control of epidemics.The experimental results show that the conclusions in this model are consistent with the reality,and simple community isolation can effectively control the spread of the epidemic.