Rumor spreading model considering forgetting and remembering mechanisms in inhomogeneous networks

2013 ◽  
Vol 392 (4) ◽  
pp. 987-994 ◽  
Author(s):  
Laijun Zhao ◽  
Xiaoyan Qiu ◽  
Xiaoli Wang ◽  
Jiajia Wang
Keyword(s):  
Rumor Spreading ◽  
Spreading Model

scholarly journals Dynamics of the rumor-spreading model with hesitation mechanism in heterogenous networks and bilingual environment

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Shuai Yang ◽  
Haijun Jiang ◽  
Cheng Hu ◽  
Juan Yu ◽  
Jiarong Li
Keyword(s):  
Lyapunov Method ◽  
Reproduction Number ◽  
Model Parameters ◽  
Rumor Spreading ◽  
Spreading Model ◽  
Reductio Ad Absurdum ◽  
The Stability ◽  
The Impact ◽  
Theoretical Results ◽  
The Basic Reproduction Number

Abstract In this paper, a novel rumor-spreading model is proposed under bilingual environment and heterogenous networks, which considers that exposures may be converted to spreaders or stiflers at a set rate. Firstly, the nonnegativity and boundedness of the solution for rumor-spreading model are proved by reductio ad absurdum. Secondly, both the basic reproduction number and the stability of the rumor-free equilibrium are systematically discussed. Whereafter, the global stability of rumor-prevailing equilibrium is explored by utilizing Lyapunov method and LaSalle’s invariance principle. Finally, the sensitivity analysis and the numerical simulation are respectively presented to analyze the impact of model parameters and illustrate the validity of theoretical results.

scholarly journals Dynamical analysis of a stochastic rumor-spreading model with Holling II functional response function and time delay

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Liang’an Huo ◽  
Xiaomin Chen
Keyword(s):  
Time Delay ◽  
White Noise ◽  
Functional Response ◽  
Response Function ◽  
Rapid Development ◽  
Dynamical Behavior ◽  
Deterministic System ◽  
Rumor Spreading ◽  
Spreading Model ◽  
Holling Ii Functional Response

AbstractWith the rapid development of information society, rumor plays an increasingly crucial part in social communication, and its spreading has a significant impact on human life. In this paper, a stochastic rumor-spreading model with Holling II functional response function considering the existence of time delay and the disturbance of white noise is proposed. Firstly, the existence of a unique global positive solution of the model is studied. Then the asymptotic behavior of the global solution around the rumor-free and rumor-local equilibrium nodes of the deterministic system is discussed. Finally, through some numerical results, the validity and availability of theoretical analysis is verified powerfully, and it shows that some factors such as the transmission rate, the intensity of white noise, and the time delay have significant relationship with the dynamical behavior of rumor spreading.

scholarly journals Steady-State Analysis of SECIR Rumor Spreading Model in Complex Networks

2019 ◽  
Vol 10 (03) ◽  
pp. 75-86
Author(s):  
Yujiang Liu ◽  
Chunmei Zeng ◽  
Youquan Luo
Keyword(s):  
Steady State ◽  
Complex Networks ◽  
Rumor Spreading ◽  
Steady State Analysis ◽  
Spreading Model ◽  
State Analysis

SIR rumor spreading model in the new media age

2013 ◽  
Vol 392 (4) ◽  
pp. 995-1003 ◽  
Author(s):  
Laijun Zhao ◽  
Hongxin Cui ◽  
Xiaoyan Qiu ◽  
Xiaoli Wang ◽  
Jiajia Wang
Keyword(s):  
New Media ◽  
Rumor Spreading ◽  
Spreading Model

Susceptible-Infectious-Critical-Recovered rumor spreading model in social networks

2021 ◽  
Author(s):  
Wang Hongmei ◽  
Qiu Liqing ◽  
Tan Kun ◽  
Cui Junwei
Keyword(s):  
Social Networks ◽  
Theoretical Analysis ◽  
Critical State ◽  
Effective Measure ◽  
Rumor Spreading ◽  
Spreading Model ◽  
Rumor Propagation ◽  
Number Formula ◽  
Simulation Results ◽  
Next Generation Matrix

As an important area of social networks, rumor spread has attracted the attention of many scholars. It aims to explore the rumor propagation, and to propose effective measures to curb the further spread of rumors. Different from some existing works, this paper believes that susceptible persons affected by rumor-refuting information will first enter the critical state, while ones who related to rumors will directly turn into the spread state. Therefore, this paper proposes a Susceptible-Infectious-Critical-Recovered (SICR) rumor model. In addition, considering that infectious persons with high levels of refuting rumors may cause emotional resonance among individuals, this model adds a connecting edge from the recovered to the infectious who are triggered by the information of refuting the rumors. First, the basic regeneration number [Formula: see text] is obtained by using the next generation matrix method. Then, the global stability of the rumor-free equilibrium [Formula: see text] and the persistence of rumor propagation are proved in detail in theoretical analysis. The simulation results show that the existence of a critical state can reduce the influence of rumors. Rumor refutation mechanism, as soon as possible to curb the spread of rumors, is an effective measure.

A Mathematics Model for Quantitative Analysis of Demand Disruption Caused by Rumor Spreading

2014 ◽  
Vol 13 (03) ◽  
pp. 585-602 ◽  
Author(s):  
Haifeng Zhao ◽  
Bin Lin ◽  
Chongqing Guo
Keyword(s):  
Mathematical Model ◽  
Supply Chain ◽  
Quantitative Analysis ◽  
New Method ◽  
Mathematics Model ◽  
Rumor Spreading ◽  
On Demand ◽  
Spreading Model ◽  
Internet Age ◽  
Purchasing Intention

Rumors greatly impact consumers' attitudes and purchasing intention. Rumor spreading can disrupt supply chain demand, particularly in today's Internet age. We propose a mathematical model for the quantitative analysis of demand disruption caused by rumor spreading based on the susceptible-infective-isolated-immune (SI2I) rumor spreading model, which extends the susceptible-infective-recovered (SIR) rumor spreading model by dividing stiflers into isolators and immunes. Both groups represent individuals who do not propagate a rumor, but the former believes the rumor while the latter does not. From the firms' perspective, only ignorants and immunes will still purchase their products and services after a rumor has spread. Hence, the influence of rumors on demand can be quantitatively reflected by the proportion of ignorants and immunes in the population. This study offers a new method for company managers to predict the variation trend of demand and estimate demand loss when a firm is attacked by rumors.

SE2IR Invest Market Rumor Spreading Model Considering Hesitating Mechanism

2019 ◽  
Vol 7 (1) ◽  
pp. 54-69 ◽  
Author(s):  
Hongxing Yao ◽  
Xiangyang Gao
Keyword(s):  
Mean Field ◽  
Basic Reproductive Number ◽  
Reproductive Number ◽  
Field Equations ◽  
Rumor Spreading ◽  
Immunization Strategy ◽  
Scale Free ◽  
Spreading Model ◽  
Mean Field Equations ◽  
The Impact

Abstract According to the actual situation of investor network, a SE2IR rumor spreading model with hesitating mechanism is proposed, and the corresponding mean-field equations is obtained on scale-free network. In this paper, we first combine the theory of spreading dynamics and find out the basic reproductive number R0. And then analyzes the stability of the rumor-free equilibrium and the final rumor size. Finally, we discuss random immune strategies and target immune strategies for the rumor spreading, respectively. Through numerical simulation, we can draw the following conclusions: Reducing the fuzziness and attractiveness of invest market rumor can effectively reduce the impact of rumor. And the target immunization strategy is more effective than the random immunization strategy for the communicators in the invest investor network.

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