ILSR rumor spreading model with degree in complex network

Yang, Anzhi; Huang, Xin; Cai, Xiumei; Zhu, Xiaofei; Lu, Ling

doi:10.1016/j.physa.2019.121807

Cited by 57 publications

(19 citation statements)

References 15 publications

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“…Moreno et al used the Monte Carlo simulation method to study the random MK model on scale-free networks [10]. Based on the traditional rumor propagation model, many scholars used different methods to study the rumor propagation mechanism [11], thus developing many new rumor propagation models, such as SIS (Susceptible-Infected-Susceptible) model [12], SIR (Susceptible-Infected-Removed) model [13], SEIR (Susceptible-Exposed-Infected-Removed) model [14], SIHR (Susceptible-Infected-Hibernator-Removed) model [15], ILSR (Ignorant-Lurker-Spreader-Removal) model [16], IWSR (Ignorant-Wiseman-Spreader-Stifler) model [17], and SCIR (Susceptible-Infective-Counterattack-Refractory) model [18], etc. Some scholars have found that the activity rate of individuals will also affect the process of rumor propagation.…”

Section: Introductionmentioning

confidence: 99%

Effect of Global and Local Refutation Mechanism on Rumor Propagation in Heterogeneous Network

Huo

Zhang

2022

Mathematics

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In the process of rumors propagation, the behavior of individuals to propagation or refutation is not only influenced by the surrounding global environment but also the local environment. In this paper, a modified rumor propagation model is proposed considering the global and local effects of the rumor refutation mechanism and the activity rate of individuals in a heterogeneous network, and the dynamics process of the rumor propagation is derived by using the mean-field equation. Combining theoretical proving and simulation analysis, it shows that the critical threshold of rumor propagation has a great relationship with individual activity rates and global and local effects of the rumor refutation mechanism. The greater the government’s efforts to refute rumors, the lower the critical threshold of rumor propagation and the smaller the final rumor size. While relatively, people are much more likely to believe the global rumor refutation information taken with official information, local rumor refutation information has little influence on rumor propagation.

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Section: Introductionmentioning

confidence: 99%

Effect of Global and Local Refutation Mechanism on Rumor Propagation in Heterogeneous Network

Huo

Zhang

2022

Mathematics

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“…In Huo's work 4 , the population was divided into three categories: the ignorant population X(t), the aware population X m (t) and spreaders Y (t), as the accumulative consciousness mechanism M(t) was further introduced. However, in recent years, with the in-depth development of complex network research and the high superiority of network structure in describing user structure in social networks, the establishment of rumor propagation dynamic model based on different network topologies began to rise [7][8][9][10][11][12]39,40 . According to Huo's work, rumor propagation dynamics in homogeneous networks wass studied, and the global stability of the internal equilibrium of the model was proved by using Lasalle's invariant principle 12 .…”

Section: Introductionmentioning

confidence: 99%

“…For example, heterogeneous networks represent huge differences in node degree distribution, and rumor propagation based on this has been studied in some documents 11 . In the work of Yang, a connection was established between the propagation probability of rumors and node degrees, so as to take individual differences into consideration 10 . Besides ordinary differential equation models, the stochastic differential equation method after introducing randomness can also describe the rumor propagation process well 13 .…”

Section: Introductionmentioning

confidence: 99%

Pattern formation in a reaction–diffusion rumor propagation system with Allee effect and time delay

Zhu

2022

Nonlinear Dyn

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This paper analyzes the diffusion behavior of the suspicious and the infected cabins in cyberspace by establishing a rumor propagation reaction diffusion model with Allee effect and time delay. The Turing instability conditions of the system under various conditions are emphatically studied. After considering the delay effect of rumor propagation systems, we have studied the correlation between the stability of the system under the influence of small time delay and the homogeneous system near the equilibrium point, and the critical condition of the delay-induced spatial instability is given. Further considering the possibility of diffusion coefficient changing with time, the critical parameter curves of stability and instability of approximate systems are given by means of Floquet theory, and the necessary conditions of Turing-instability of periodic coefficient are studied. In the numerical simulations, we find that the variation of diffusion coefficient will change the pattern type, and the periodical diffusion behavior will affect the arrangement of the crowd gathering area in the pattern.

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“…Recently, Zhao et al 13 also studied the propagation process of SIR's rumor propagation model in different complex networks by considering the external forces of reality (such as authority) and internal influences (such as the forgetting nature of human beings). Yang et al 14 designed a new state transition function for each node according to the degree of different nodes in the network and proposed a new ILSR model of rumor propagation. Gerrit Verena et al 15 considered the wide‐area interval model and proposed a new simulation method that combined the advantages of event‐based simulation and rejection sampling.…”

Section: Introductionmentioning

confidence: 99%

Analyzing the dynamics of a stochastic rumor propagation model incorporating media coverage

Huo

Dong

2020

Math Methods in App Sciences

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In the age of information globalization, research on the mechanism of propagation will help mitigate the bad influence of rumors. Based on the classical rumor propagation model, this paper further analyzes the internal mechanism of the stochastic rumor propagation model incorporating media coverage with white noise. We investigate the existence of a unique global positive solution to the model and study the dynamic properties of the solutions around the rumor-free and local equilibrium points of the deterministic model. Furthermore, we establish sufficient conditions for the existence of traversal static distribution in the model. Numerical simulation shows that the role of media coverage is crucial to reduce the rumor propagation scale. The larger the coverage rate is, the smaller the rumor propagation scale is. K E Y W O R D Sergodic process, media coverage, rumor propagation, stochastic process

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ILSR rumor spreading model with degree in complex network

Cited by 57 publications

References 15 publications

Effect of Global and Local Refutation Mechanism on Rumor Propagation in Heterogeneous Network

Effect of Global and Local Refutation Mechanism on Rumor Propagation in Heterogeneous Network

Pattern formation in a reaction–diffusion rumor propagation system with Allee effect and time delay

Analyzing the dynamics of a stochastic rumor propagation model incorporating media coverage

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