Spreading Dynamic Analysis Of Several Kinds Of Public Event On Complex Network

The“2.21”online gambling event in 2015,the blackmail virus in 2017 and the COVID-19 and so on,every public event has more or less impact on us,and some public events may happen to us.With the development of technology,these communicable public events will be spread rapidly.Without control,these events will explode rapidly and even spread around the world.How to control its spread effectively has become a hot issue in many different fields.The spreading dynamics has been widely applied to the study of event spreading and has achieved certain results.The development of small world network and scale-free network indicates that the research of spreading dynamics has entered a new stage,which makes the spreading dynamics more accurately reflect the real spreading network when studying the event spreading.In this paper,based on the theory of complex network and the real-life spreading events,we propose several new kinds of spreading dynamics models,and then study the spreading behavior and properties of online gambling,epidemic and computer virus.The main contents of this paper are as follows.1.In order to study the influence of people's psychological factors,anti-gambling policy and social network topology on the spreading of online gambling,a new SHGD(susceptible–hesitator–gambler–disclaimer)online gambling spreading model is proposed based on scale-free network.The spreading mechanism of online gambling is studied,and the basic reproductive number ₀R is obtained and analyzed.It is found that the basic reproductive number is related to anti-gambling strategy and network topology.Then,we get the gambling-free equilibriumE₀ and the gambling-prevailing equilibrium E₊.The stability of the gambling-free equilibrium is analyzed.The global attractivity of the gambling-prevailing equilibrium and the persistence of the phenomenon of online gambling are studied.Finally,the research conclusion and control measures are analyzed by data simulation.2.Considering the unique characteristics of different kinds of epidemics,the paper discusses the effect of media reports on epidemic transmission and its related properties based on mean network and scale-free network.According to the difference of epidemic virus,for the highly toxic epidemic,it has the characteristics of obvious infection symptoms and small transmission range.Therefore,based on the mean network,a SIR epidemic spreading model is proposed,and the effects of time delay and media coverage on the spread of the epidemic are also analyzed.The basic reproductive number ₀R is obtained,and the existence of disease-free equilibrium ₀E^*and endemic equilibrium E₊^*are proved.The stability of the equilibrium is proved.When the toxicity of the epidemic is relatively weak,it has the characteristics of no obvious infection symptoms and wide spread.Therefore,a SEIR epidemic spreading model based on scale-free network is proposed,and the effects of time delay and media coverage on the spread of the epidemic are also studied.The basic reproductive number ₀R is obtained,and the disease-free equilibrium and its stability are proved.The endemic equilibrium and its persistence are proved.And the correctness of the conclusion is verified by simulation.Studies have shown that media coverage of the epidemic among different groups can help reduce the spread of the epidemic.3.Consider the degree of network security education of users,a new SQGT computer virus spreading model based on scale-free network is proposed.According to the mean field theory and ordinary differential equation method,the basic reproductive number ₀R and two equilibrium points of the system are obtained.The calculation shows that the two equilibrium points are stable.In addition,the research shows that improving the network security education for users is helpful to control the spread of computer virus and further help to eliminate the virus.