Spreading Dynamics of a 2SIH2R, Rumor Spreading Model in the Homogeneous Network

Yan Wang,Feng Qing,Jian-Ping Chai,Ye-Peng Ni,Xiaoke Xu

doi:10.1155/2021/6693334

Abstract

With the rapid development of social network in recent years, the threshold of information dissemination has become lower. Most of the time, rumors, as a special kind of information, are harmful to society. And once the rumor appears, the truth will follow. Considering that the rumor and truth compete with each other like light and darkness in reality, in this paper, we study a rumor spreading model in the homogeneous network called 2SIH2R, in which there are both spreader1 (people who spread the rumor) and spreader2 (people who spread the truth). In this model, we introduced discernible mechanism and confrontation mechanism to quantify the level of people's cognitive abilities and the competition between the rumor and truth. By mean-field equations, steady-state analysis, and numerical simulations in a generated network which is closed and homogeneous, some significant results can be given: the higher the discernible rate of the rumor, the smaller the influence of the rumor; the stronger the confrontation degree of the rumor, the smaller the influence of the rumor; the larger the average degree of the network, the greater the influence of the rumor but the shorter the duration. The model and simulation results provide a quantitative reference for revealing and controlling the spread of the rumor.

Highlights

With the continuous emergence of social media platforms, the traditional media era has gradually turned into the selfmedia era, and information dissemination has become faster, wider in scope, and deeper than ever [1]
In today’s society, there are some people who use people’s public psychology to create rumors to obtain benefits from it [3, 4]. is behavior will cause public panic and harm society. erefore, in order to reveal the law of rumors dissemination and reduce the negative impact of rumors on society, it is necessary to establish a suitable mathematical model to analyse the characteristics and mechanisms of rumors dissemination process
In the 1960s, Daley and Kendall [5] proposed the DK model which is a classic model in the field of rumor spreading. e model divides the population into three categories: people who have never heard of rumors, people who spread rumors, and people who have heard the rumors but do not spread

Summary

Introduction

With the continuous emergence of social media platforms, the traditional media era has gradually turned into the selfmedia era, and information dissemination has become faster, wider in scope, and deeper than ever [1]. Allport and Postman [25] believe that there are three conditions for the generation and spread of rumors: the first one is the lack of information; the second one is people’s anxiety; the third one is that the society is in crisis Based on this, they proposed a classical formula: rumors i × a(where i represents the importance of information and a represents the degree of unknowability of the event). We divide the population into six categories, people who have never heard of rumors or truth (ignorant), people who spread rumors (spreader1), people who spread truth (spreader2), people who have heard the rumors but do not spread temporarily (hesitant1), people who have heard the rumors but do not spread (stifler1), people who have heard the truth but do not spread (stifler2), and propose the 2SIH2R model with the discernible mechanism and the confrontation mechanism.

Steady-State Analysis

Numerical Simulation

Conclusions