Global dynamics of the multi-lingual SIR rumor spreading model with cross-transmitted mechanism

Wang, Jinling; Jiang, Haijun; Ma, Tianlong; Hu, Cheng

doi:10.1016/j.chaos.2019.05.027

Cited by 69 publications

(33 citation statements)

References 23 publications

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“…Remark 1 Note that the process of rumor spreading in this paper is different from the previous papers [22,23] in that the hesitation mechanism is considered and the exposures may be translated into spreaders or stiflers with a certain rate. In addition, both cross-propagation and contact transfer are considered in the rumor-spreading model (1).…”

Section: Description Of the Rumor-spreading Modelmentioning

confidence: 87%

“…Note that rumors are widely spread in an increasingly complicated environment with the rapid development of market economy and globalization. That is, the area of rumor spreading includes people of different nationalities and languages [22][23][24][25]. In such a social environment, the dissemination of rumors, the ways and means of receiving rumors, and the guidance of public opinion of rumors are more complicated than those in a monolingual environment.…”

Section: Introductionmentioning

confidence: 99%

“…(1) By extending the existing results [22][23][24][25], a novel IE2S2R model is proposed by adding a hesitation mechanism. Especially, exposures may be translated into spreaders or stiflers with a certain rate in heterogenous networks and bilingual environment.…”

Section: Introductionmentioning

confidence: 99%

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

Yang

Jiang

et al. 2020

Adv Differ Equ

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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.

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Section: Description Of the Rumor-spreading Modelmentioning

confidence: 87%

Section: Introductionmentioning

confidence: 99%

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

Yang

Jiang

et al. 2020

Adv Differ Equ

Self Cite

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“…In [27,28], the authors studied the problems of rumor spreading in a multilingual environment, but the network is homogeneous. In fact, the social networks are always heterogeneous.…”

Section: Remarkmentioning

confidence: 99%

“…At present, some achievements have been made for rumor propagation in a multilingual environment. Using multiple-group epidemic model research techniques, Wang in [27] first proposed a SIR rumor propagation model in a multilingual environment, in which all individuals were divided into different groups according to distinct languages, and a new model with a cross-propagation mechanism was established. Different from Wang's model, Li [28] established and analyzed the I2S2R rumor propagation model in the complex network and discussed the dynamics through the mean field equation.…”

Section: Introductionmentioning

confidence: 99%

The spread and control of rumors in a multilingual environment

Jiang

et al. 2020

Nonlinear Dyn

Self Cite

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This paper studies the rumor propagation model with heterogeneous networks in a multilingual environment. Firstly, a rumor propagation model with two language spreaders, in which the immunologic mechanism is considered in the ignorant, is proposed on heterogeneous networks. Secondly, the basic reproduction number and the dynamic behaviors are analyzed by using the next-generation matrix method and Lyapunov stability theory, respectively. Moreover, two control strategies are designed to effectively suppress the spread of the rumor. The one is continuous control strategy. By applying real-time control to the spreaders, the rumor spreading time can be greatly reduced and the rumor can die out in a short time. The other is event-triggered impulsive control strategy, which can effectively reduce the consumption of resources and ensure the extinction of the rumor. Finally, the correctness of theoretical analysis and the feasibility of control methods are verified by numerical simulations.

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An effective ISDPR rumor propagation model on complex networks

Jing

Kang

2022

Int J of Intelligent Sys

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Rumor in networks is harmful, it can lead to social unrest, endanger public security, and do harm to the public interest. Therefore, it is very important to study the regularity of information spreading in the network. For the problem that traditional rumor propagation model did not take into account the influence of fact spreading and punishment mechanism, combined with network structure and game theory, propose an effective ISDPR rumor propagation model. First, we analyze the model, calculate the basic reproductive number and the equilibrium points and prove the stability of the equilibrium points to explain the rationality of the model. Then, based on game theory, a new state transition function is designed for nodes, and an effective ISDPR model on complex networks is proposed. Finally, experiments are performed in WS small world network, BA scale‐free network and real networks to investigate the influence of different initial conditions on rumor spreading, and the experimental results show the correctness and effectiveness of the model.

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Global dynamics of the multi-lingual SIR rumor spreading model with cross-transmitted mechanism

Cited by 69 publications

References 23 publications

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

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

The spread and control of rumors in a multilingual environment

An effective ISDPR rumor propagation model on complex networks

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