Spreading Dynamic Research Of Several Kinds Of Social Information On Complex Network

With the rapid development of complex networks field,the research of network topology and dynamic processes on the networks has been rapidly developed.Research on the dynamics of information spreading has received great attention.In this era of information explosion,social networks contain the spreading of all kinds of information.Considering the great impact of information spreading on the society,it is of great practical significance to promote the spreading of information and curb the harm of bad information to the society.This dissertation aims to based on heterogeneous network based on dynamic model to study the spread of social network spreading dynamics behavior,based on the reality of social information transmission mechanism and actual situation,through the establishment of social information transmission dynamics model,after the study of model results to make some effective control strategy to control the spread of social information.The work of this paper is as follows:1.The development of social information network makes the influence of information spreading become extremely powerful,and the research on rumor information spreading based on social network is particularly important.Different from previous studies,a new SO₁O₂E(susceptible-offline-online-educated)rumor spreading model with demographics on scale-free networks is proposed.According to the mean-field theory and the next generation matrix method,the basic reproductive number R₀are calculated.Furthermore,the global asymptotical stability of rumor-free equilibrium and the permanence of the rumor are proved in detail.Numerical simulation of the SO₁O₂E model is presented to illustrate the law of rumor spreading.Finally,we found that according to different rumor propagation channels,corresponding methods should be used to prevent its occurrence.2.Learn that the spread of Internet violence is not limited to online,and its influence is more reflected in offline social networks,such as human flesh search behavior and social death phenomenon.Considering the different ways for people to disseminate Internet violence information,the government's educational factors to disseminate Internet violence and the heterogeneity of social networks,a novel SIFT(susceptible-informational-forcible-silent)online and offline violence information spreading model was established.This paper discusses the influence of network topology and government education factors on the spreading of violence information.Mathematical calculation was carried out to prove the relationship between the basic reproduction number R₀of the model and the dissemination of violent information on social networks,When the basic reproduction number R₀<1,it has nothing to do with the proportion of people in the community who are spreader of violent information,and the spreading of violent information will disappear in the network;When the basic reproduction number R₀>1,The persistent spread of violent information will be independent of the proportion of people in the community who are spreader of violent information,and the spread of violent information will become persistent.The analysis shows that the disappearance and persistent spreading of violent information depends on the basic reproduction number R₀,which is affected by the change of network topology.3.Medical research has shown that overeating betel nut can be addictive and damage health.The more serious cases may cause mouth cancer and other diseases.Even worse,people's behavior habit of chewing betel nut may influence each other through social interaction with direct face-to-face communication or indirect ways,such as Facebook,Twitter,Microblog,We Chat and so on,which leads to the spreading phenomenon of betel nut addiction.In order to investigate the dynamic spreading characteristics of betel nut addiction,a PMSR(Potential-Mild-Severe-Recovered)betel nut addiction spreading model is presented on scale-free networks.The basic reproductive number R₀and equilibria are derived.Theoretical results indicate that the basic reproductive number R₀is significantly dependent on the topology of the underlying networks and influence parameter.The existence of equilibria is determined by the basic reproductive number R₀.Furthermore,we prove that if R₀<1,the addiction-elimination equilibrium is globally asymptotically stable.If R₀>1,the betel nut addiction spreading is permanent,and the addiction-prevailing equilibrium is globally attractive.Finally,our theoretical results are confirmed by numerical simulations and have important guiding significance in controlling the spreading of betel nut addiction.