A new rumor propagation model and control strategy on social networks

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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The Worm Propagation Model and Control Strategy Based on Distributed Honeynet

2008 International Conference on Computer Science and Software Engineering ◽

10.1109/csse.2008.1266 ◽

2008 ◽

Cited By ~ 5

Author(s):

Narisa Zhao ◽

Xianfeng Zhang

Keyword(s):

Control Strategy ◽

Propagation Model ◽

Worm Propagation ◽

And Control

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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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