Establishment And Dynamics Analysis Of Tow Types Of Rumor Propagation Model

With the rapid development of the Internet and the increasing speed of technological innovation,people have more and more channels to obtain information.At the same time,more and more favorable conditions have been created for the spread of rumors.Common rumors include food safety rumors,information security rumors,emergency rumors and so on.Moreover,the rumors of emergencies not only disturb the normal social order,but also have a great impact on People's Daily life.Therefore,it is very important to study the rules of rumor propagation.In the guidance of public opinion on major emergencies,we should not only ensure the timely and accurate disclosure of information,but also promote the scientific quality of citizens.We consider the government schools and other social department in advance to the crowd preventive education.This paper discusses the measures of SEIR rumors spread model is established.In the real rumor spreading process,part of the population has rumors to distinguish ability,able to recognize the truth and participate in the information dissemination,Rumors spread for more accurate characterization of reality.In order to more accurately depict the spread of realistic rumors,we further studied the influence of the spread of real information on the spread of rumors based on the SIR(SusceptibleInfective-Removed)rumor propagation model,and established a SITR rumor propagation model for analysis.In chapter 1,Introduces the research background of rumor propagation at present and the research status at home and abroad,and gives the main research contents,research methods and research results of this paper.In chapter 2,Considering the government schools and other social departments to carry out preventive education on the population in advance,the SEIR rumor propagation model is established to analyze the stability of the balance point of the non-rumor propagator and the existence of the positive balance point.Finally,the theoretical results are verified by numerical simulation.In chapter 3,Considering the forgetting factor for the spread of rumors,and join in the process of rumor spreading True information promulgator.Besides,we also establish a SITR(Susceptible Infective-True-Removed)rumor propagation model,the existence of analytical balance,various conditions of the existence for positive equilibrium are given,and get two different forms of rumor propagation threshold.In addition,the relationship between the two thresholds and the existence of the equilibrium point is studied,and the theoretical results are verified by numerical simulation.In chapter 4,Summarizes the paper and gives the contents to be studied.