C-SIW Rumor Propagation Model with Variable Propagation Rate and Perception Mechanism in Social Networks

The propagation of rumor has become a common phenomenon in social networks. Studying the dynamic propagation of rumor can help locate the key points to control rumor propagation. To further research the internal motivation of state transition, a corrector-ignorant-spreader-weakener (C-SIW) model is proposed in this paper. When the individual changes state to transmit rumor, the neighbor may have a significant impact on rumor propagation. Considering the point, this paper constructs a function to describe the propagation rate, which relates to the state of neighbors and the reputation of the spreader. In addition, perception from life also can cause individual state changes. Based on the above fact, the links from the spreader and the weakener to the corrector are added to describe the perception mechanism. Then, combining the derived average field equations, the steady state of the model is analyzed and verified in experimental simulation. Moreover, the experimental results on different networks show that the perception mechanism reduces the rumor influence. Besides, the variable propagation rate can position the fast-growing stage of rumor propagation more accurately and facilitate the control of rumor propagation.

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Rumor-Propagation Model with Consideration of Refutation Mechanism in Homogeneous Social Networks

Discrete Dynamics in Nature and Society ◽

10.1155/2014/659273 ◽

2014 ◽

Vol 2014 ◽

pp. 1-11 ◽

Cited By ~ 1

Author(s):

Laijun Zhao ◽

Xiaoli Wang ◽

Jiajia Wang ◽

Xiaoyan Qiu ◽

Wanlin Xie

Keyword(s):

Social Networks ◽

Mean Field ◽

Propagation Rate ◽

Spreading Rate ◽

Propagation Model ◽

Critical Threshold ◽

Field Equations ◽

Rumor Propagation ◽

Mean Field Equations ◽

The Stability

In recent years, increasing attention has been paid to how to effectively manage rumor propagation. Based on previous studies of rumor propagation and some strategies used by the authorities to refute rumors and manage rumor propagation, we develop a new rumor-propagation model with consideration of refutation mechanism. In this paper, we describe the dynamic process of rumor propagation by accounting for the refutation mechanism in homogeneous social networks. And then, we derive mean-field equations for rumor-propagation process. We then analyze the stability of the model with respect to changes in parameter values. Our results show that there exists a critical thresholdλcthat is inversely proportional to the average degree of the social networks and is positively correlated with the strength of the refutation mechanism. If the spreading rate is bigger than the critical thresholdλc, rumors can be spread. Our numerical simulations in homogeneous networks demonstrate that increasing the ignorant’s refutation rateβcan reduce the peak value of spreaders density, which is better than increasing the spreader’s refutation rateη. Therefore, based on the seriousness of the rumor propagation and the rumor-propagation rate, the authorities can choose effective strategies that increase the refutation rate so that they can reduce the maximum influence of the rumor.

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A Bio-Inspired Defensive Rumor Confinement Strategy in Online Social Networks

Journal of Organizational and End User Computing ◽

10.4018/joeuc.2021010103 ◽

2021 ◽

Vol 33 (1) ◽

pp. 47-70

Author(s):

Santhoshkumar Srinivasan ◽

Dhinesh Babu L. D.

Keyword(s):

Social Networks ◽

Online Social Networks ◽

Propagation Model ◽

Information Propagation ◽

Control Approach ◽

Rumor Propagation ◽

Immunization Strategies ◽

New Information ◽

The Individual ◽

Rumor Control

Online social networks (OSNs) are used to connect people and propagate information around the globe. Along with information propagation, rumors also penetrate across the OSNs in a massive order. Controlling the rumor propagation is utmost important to reduce the damage it causes to society. Educating the individual participants of OSNs is one of the effective ways to control the rumor faster. To educate people in OSNs, this paper proposes a defensive rumor control approach that spreads anti-rumors by the inspiration from the immunization strategies of social insects. In this approach, a new information propagation model is defined to study the defensive nature of true information against rumors. Then, an anti-rumor propagation method with a set of influential spreaders is employed to defend against the rumor. The proposed approach is compared with the existing rumor containment approaches and the results indicate that the proposed approach works well in controlling the rumors.

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Modeling rumor propagation and refutation with time effect in online social networks

International Journal of Modern Physics C ◽

10.1142/s0129183118500687 ◽

2018 ◽

Vol 29 (08) ◽

pp. 1850068 ◽

Cited By ~ 3

Author(s):

Yaming Zhang ◽

Yanyuan Su ◽

Weigang Li ◽

Haiou Liu

Keyword(s):

Social Networks ◽

Heterogeneous Networks ◽

Online Social Networks ◽

Negative Impact ◽

Time Effect ◽

Field Equations ◽

Two Stage ◽

Dynamical Mechanism ◽

Rumor Propagation ◽

Mean Field Equations

Rumor propagation and refutation form an important issue for spreading dynamics in online social networks (OSNs). In this paper, we introduce a novel two-stage rumor propagation and refutation model with time effect for OSNs. The dynamical mechanism of rumor propagation and refutation with time effect is investigated deeply. Then a two-stage model and the corresponding mean-field equations in both homogeneous and heterogeneous networks are obtained. Monte Carlo simulations are conducted to characterize the dynamics of rumor propagation and refutation in both Watts–Strogatz network and Barabási–Albert network. The results show that heterogeneous networks yield the most effective rumor and anti-rumor spreading. Besides, the sooner authority releases anti-rumor and the more attractive anti-rumor is, the less rumor influence is. What’s more, these findings suggest that individuals’ ability to control themselves and identify rumor accurately should be improved to reduce negative impact of rumor effectively. The results are helpful to understand better the mechanism of rumor propagation and refutation in OSNs.

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Global Stability and Bifurcation Analysis of a Rumor Propagation Model with Two Discrete Delays in Social Networks

International Journal of Bifurcation and Chaos ◽

10.1142/s0218127420501758 ◽

2020 ◽

Vol 30 (12) ◽

pp. 2050175

Author(s):

Linhe Zhu ◽

Xuewei Wang ◽

Zhengdi Zhang ◽

Shuling Shen

Keyword(s):

Social Networks ◽

Global Stability ◽

Equilibrium Points ◽

Propagation Model ◽

Logistic Growth ◽

Positive Equilibrium ◽

Normal Form Theory ◽

Center Manifold Theorem ◽

Rumor Propagation ◽

Discrete Delays

In this paper, we improve an Ignorant-Lurker-Spreader-Removal (ILSR) rumor propagation model as in [Yang et al., 2019] in social networks with consideration to Logistic growth and two discrete delays. First, we prove the existence of equilibrium points by calculating the basic reproduction number according to the next generation matrix. Regarding the two discrete delays as bifurcating parameters, the local asymptotical stability and Hopf bifurcation of the positive equilibrium point are discussed for six different scenarios by analyzing the characteristic equations of linearized systems. Applying the normal form theory and the center manifold theorem, some important conclusions about the stability and direction of bifurcating periodic solution are given when the two time delays are equal. Subsequently we study the global stability of the equilibrium points by constructing Lyapunov functions when the two delays disappear. Finally, we verify the conclusions through numerical simulations and perform sensitivity analysis on the basic reproduction numbers.

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Dynamics of a Rumor Propagation Model with Stochastic Perturbation On Homogeneous Social Networks

Journal of Computational and Nonlinear Dynamics ◽

10.1115/1.4053269 ◽

2021 ◽

Author(s):

Yuhuai Zhang ◽

Jianjun Zhu

Keyword(s):

Social Networks ◽

Transmission Rate ◽

Rapid Development ◽

Stochastic Perturbation ◽

Propagation Model ◽

Rumor Propagation ◽

Long Time ◽

Global Positive Solution ◽

Stochastic Properties

Abstract The rapid development of information society highlights the important role of rumors in social communication, and its propagation has a significant impact on human production and life. The investigation of the influence of uncertainty on rumor propagation is an important issue in the current communication study. Due to incomprehension about others and the stochastic properties of the users' behavior, the transmission rate between individuals on social network platforms is usually not a constant value. In this paper, we propose a new rumor propagation model on homogeneous social networks from the deterministic structure to the stochastic structure. Firstly, a unique global positive solution of rumor propagation model is obtained. Then, we verify that the extinction and persistence of stochastic rumor propagation model are restricted by some conditions. IfR *0< 1 and the noise intensity s i (i = 1,2,3) satisfies some certain conditions, rumors will extinct with a probability one. If R *0 > 1, rumor-spreading individuals will continue to exist in the system, which means the rumor will prevail for a long time. Finally, through some numerical simulations, the validity and rationality of the theoretical analysis are effectively verified.

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A Novel Rumor Propagation Model on Social Networks

International Journal of Sensor Networks ◽

10.1504/ijsnet.2016.10001227 ◽

2016 ◽

Vol 1 (1) ◽

pp. 1 ◽

Cited By ~ 3

Author(s):

Junjie Chen ◽

Weili Wu ◽

Ailian Wang

Keyword(s):

Social Networks ◽

Propagation Model ◽

Rumor Propagation

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Rumor Propagation Model for Complex Network with Non-Uniform Propagation Rates

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.596.868 ◽

2014 ◽

Vol 596 ◽

pp. 868-872 ◽

Cited By ~ 1

Author(s):

Rui Sun ◽

Wan Bo Luo

Keyword(s):

Mean Field Theory ◽

Mean Field ◽

Propagation Rate ◽

Propagation Model ◽

Scale Free Network ◽

Propagation Characteristics ◽

Affecting Factors ◽

Scale Free ◽

Rumor Propagation ◽

Free Network

Considering propagation characteristics and affecting factors of rumor in real-world complex networks, this paper described different propagation rates of different nodes by introducing the rumor acceptability function. Based on mean-field theory, this paper presented a rumor propagation model with non-uniform propagation rate, and then simulated the behaviour of rumor propagation on scale-free network and calculated the propagation thresholds by corresponding dynamics equation. Theoretical analysis and simulation results show that nodes with different rumor acceptability could lead to slowing the spread of rumors, make positive propagation threshold arise, and effectively contain the outbreak and reduce the risk of rumors.

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