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

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.

Dynamic Analysis of a Reaction–Diffusion Rumor Propagation Model

2016 ◽  
Vol 26 (06) ◽  
pp. 1650101 ◽  
Author(s):  
Hongyong Zhao ◽  
Linhe Zhu
Keyword(s):  
Social Networks ◽  
Time Delay ◽  
New Media ◽  
Equilibrium Point ◽  
Rapid Development ◽  
Upper And Lower Solutions ◽  
Propagation Model ◽  
Traveling Wave Solution ◽  
Rumor Spreading ◽  
Rumor Propagation

The rapid development of the Internet, especially the emergence of the social networks, leads rumor propagation into a new media era. Rumor propagation in social networks has brought new challenges to network security and social stability. This paper, based on partial differential equations (PDEs), proposes a new SIS rumor propagation model by considering the effect of the communication between the different rumor infected users on rumor propagation. The stabilities of a nonrumor equilibrium point and a rumor-spreading equilibrium point are discussed by linearization technique and the upper and lower solutions method, and the existence of a traveling wave solution is established by the cross-iteration scheme accompanied by the technique of upper and lower solutions and Schauder’s fixed point theorem. Furthermore, we add the time delay to rumor propagation and deduce the conditions of Hopf bifurcation and stability switches for the rumor-spreading equilibrium point by taking the time delay as the bifurcation parameter. Finally, numerical simulations are performed to illustrate the theoretical results.

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

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.

scholarly journals The Role Of Facebook In Activating Local Tourism : An Analytical Study

2019 ◽  
Vol 1 (3) ◽  
pp. 77-86
Author(s):  
Samia Bouguerra
Keyword(s):  
Social Networks ◽  
New Media ◽  
Information And Communication Technologies ◽  
Rapid Development ◽  
Jel Classification ◽  
Tourism Industry ◽  
Economic Life ◽  
The Internet ◽  
The World

The development of the world today in information and communication technologies has affected all aspects of the economic life of the countries, especially with the emergence of the Internet and the new media through social networks such as Facebook, Twitter, Instagram and others. With the emergence of social networks on the Internet, the marketing of services, especially tourism services, depends on the human factor itself through the exchange and exchange of information about tourist areas, traditional products, hotels and others. The new era has begun to depend on the consumers themselves and their contribution to the promotion of services and places... With the rapid development of social networks, especially Facebook, the importance of harnessing these sites to serve the tourism industry in the countries of the world in general and Algeria in particular, where the industry depends largely on the views of consumers and the spread of information among them, which opened a wide door to identify the places of tourism and hotels and offer services from By visiting people and benefiting from their services, which positively affects other users who may one day be tourists in the same areas. Therefore, this study is an attempt to highlight the role of social networks and their contribution to the activation of tourism in general and local tourism in particular, taking the Facebook network model, through the analysis of the Facebook page beaches of Annaba, and answer the following fundamental question:To what extent does Facebook contribute to the activation of local tourism in Algeria? JEL Classification: Z3, M3.

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

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.

The Role of Social Networking in Civilizational Development

2013 ◽  
pp. 1193-1217
Author(s):  
Andrew Targowski
Keyword(s):  
Social Networks ◽  
Social Networking ◽  
21St Century ◽  
Large Scale ◽  
Rapid Development ◽  
World Government ◽  
Electronic Culture ◽  
The Impact ◽  
Further Development

This study defines the nature, scope, pace, and consequences of the rapid development of social networking in the 21st century. The impact of INFOCO systems upon civilizational development is investigated and predicted for the future. Such concepts as Global Virtual Society, Global Virtual Nation, Virtual Nation, Virtual Users, National Virtual Citizens, and Global Virtual Citizens are defined. Their electronic culture is defined, too. Finally some recommendations for further research are provided. In particular, the question of whether the concept of one world government is good or bad for mankind should be answered soon, in order to properly steer the further development of large-scale social networks.

A Novel Rumor Propagation Model on Social Networks

2016 ◽  
Vol 1 (1) ◽  
pp. 1 ◽  
Author(s):  
Junjie Chen ◽  
Weili Wu ◽  
Ailian Wang
Keyword(s):  
Social Networks ◽  
Propagation Model ◽  
Rumor Propagation

scholarly journals Using Mobile Nodes to Control Rumors in Big Data Based on a New Rumor Propagation Model in Vehicular Social Networks

IEEE Access ◽  
2018 ◽  
Vol 6 ◽  
pp. 62612-62621 ◽  
Author(s):  
Youke Wu ◽  
Haiyang Huang ◽  
Junjie Zhao ◽  
Cheng Wang ◽  
Tian Wang
Keyword(s):  
Social Networks ◽  
Big Data ◽  
Propagation Model ◽  
Mobile Nodes ◽  
Rumor Propagation

The Role of Social Networking in Civilizational Development

2012 ◽  
pp. 226-251
Author(s):  
Andrew Targowski
Keyword(s):  
Social Networks ◽  
Social Networking ◽  
21St Century ◽  
Large Scale ◽  
Rapid Development ◽  
World Government ◽  
Electronic Culture ◽  
The Impact ◽  
Further Development

This study defines the nature, scope, pace, and consequences of the rapid development of social networking in the 21st century. The impact of INFOCO systems upon civilizational development is investigated and predicted for the future. Such concepts as Global Virtual Society, Global Virtual Nation, Virtual Nation, Virtual Users, National Virtual Citizens, and Global Virtual Citizens are defined. Their electronic culture is defined, too. Finally some recommendations for further research are provided. In particular, the question of whether the concept of one world government is good or bad for mankind should be answered soon, in order to properly steer the further development of large-scale social networks.

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