Study On The Spread And Immunodynamics Of Micromessage Rumors Based On Infectious Disease Model

Since entering the information age,the number and speed of information transmitted and received by people increase exponentially every day.As the mobile social platform with the largest number of users and the highest utilization rate in China,Wechat has unique advantages in information dissemination and interpersonal interaction,which has greatly changed people's traditional way of life.Wechat friends are built on the basis of "strong relationship",which improves the efficiency of interpersonal communication,but also creates a complex situation of information.Various types of rumors spread wantonly in the "Wechat Circle" and become hotbeds of rumors.How to effectively analyze its transmission mechanism,more objectively and systematically suppress micro-news rumors,and better safeguard people's normal life and work has become a hot topic in various fields of research,which has important practical significance.Based on the classical epidemic model,this paper studies two different kinds of micro-rumor propagation models and analyses their dynamic behavior.The main work of this paper is divided into the following four parts.In the first part,firstly,the actual background and research significance of the spread of micro-news rumors are expounded.Secondly,the research status of micro-news rumors at home and abroad is summarized.Finally,the main work and innovations of this paper are summarized.The second part mainly summarizes the preparatory knowledge needed in this paper.Firstly,four classical infectious disease models(SI,SIS,SIR,SEIR)are selected to summarize;then,the basic introduction of the carrier of Wechat,social network,including basic social network theory,communication mode and characteristics;secondly,the dissemination mode,characteristics and content types of Wechat rumors are summarized;finally,the important overview of this paper is summarized.Reading and Lemmatical Knowledge.In the third part,we discuss a kind of micro-rumor propagation model with bilinear incidence rate and saturated cure rate.Considering the awkward phenomenon that micro-rumors spread fast and the information of refuting rumors is blocked,we establish a kind of micro-rumor propagation model with bilinear incidence rate and saturated cure rate.The basic reproduction number,no-rumor equilibrium point and the existence condition of local rumor equilibrium point(i.e.positive equilibrium point)of the model are analyzed.The local stability of the model is further explored by using linear matrix method.Finally,the effectiveness of the theoretical results is verified by the simulation of the propagation model of the micro-rumor,and the global stability of the model is observed.In the fourth part,we study a kind of rumor dissemination model with rumor information intervention.Considering that the intervention and intervention of the third-party organization "Wechat Rumor Suppression Assistant" in the process of rumor dissemination seriously affects the spread of Wechat Rumor,more authentically restores the process of the spread of contemporary Wechat Rumor,we propose a kind of Wechat Rumor with rumor information intervention.Rumor propagation model is calculated and the basic reproduction number of the model is given,and the stability of the model is analyzed.Finally,simulation experiments are used to verify the validity and rationality of the model,the global stability of the model,and the influence of rumor information intervention rate on the system,and corresponding control strategies are given.