Contagion spreading on complex networks with local deterministic dynamics

Manshour, Pouya; Montakhab, Afshin

doi:10.1016/j.cnsns.2013.12.015

Cited by 20 publications

(5 citation statements)

References 47 publications

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“…Indeed, the evolution of our world is strongly ruled by social networks. In general, all political, economical, social or military conflicts occur in a social network, which includes a set of elements like countries, corporations or people that interact through different types of connections, such as friendship, hostility, political treaties, trade, or sharing ideas [2][3][4][5][6][7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Phase transition in a network model of social balance with Glauber dynamics

2019

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We study the evolution of a social network with friendly/enmity connections into a balanced state by introducing a dynamical model with an intrinsic randomness, similar to Glauber dynamics in statistical mechanics. We include the possibility of the tension promotion as well as the tension reduction in our model. Such a more realistic situation enables the system to escape from local minima in its energy landscape and thus to exit out of frozen imbalanced states, which are unwanted outcomes observed in previous models. On the other hand, in finite networks the dynamics takes the system into a balanced phase, if the randomness is lower than a critical value. For large networks, we also find a sharp phase transition at the initial positive link density of ρ * 0 = 1/2, where the system transitions from a bipolar state into a paradise. This modifies the gradual phase transition at a nontrivial value of ρ * 0 ≃ 0.65, observed in recent studies.I.

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Section: Introductionmentioning

confidence: 99%

Phase transition in a network model of social balance with Glauber dynamics

2019

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“…In principle, the transmission of information is very similar to the transmission of infectious diseases 6,7 . Several literature works have adopted the classical model of infectious diseases [8][9][10] to the research of rumor transmission 11 and information transmission 12,13 . Based on this, the process of studying information transmission in the present work is inspired by the spread of SARS-COV-2.…”

Section: Dynamic Analysis and Optimal Control Considering Cross Trans...mentioning

confidence: 99%

Dynamic analysis and optimal control considering cross transmission and variation of information

Kang

Hou

et al. 2022

Sci Rep

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Cross-transmission of information has a profound influence on the progress of science and technology and the discipline integration in the field of education. In this work, knowledge gained from the viral recombination and variation in COVID-19 transmission is applied to information transmission. Virus recombination and virus variation are similar to the crossing and information fusion phenomena in information transmission. An S2I4MR model with information crossing and variation is constructed. Then, the local and global asymptotic stabilities of the information-free equilibrium and information-existence equilibrium are analyzed. Additionally, the basic reproduction number $$R_0$$ R 0 of the model is calculated. As such, an optimal control strategy is hereby proposed to promote the cross-transmission of information and generate variant information. The numerical simulations support the results of the theoretical analysis and the sensitivity of the system towards certain control parameters. In particular, the results show that strengthening information crossing promotes the generation of variant information. Furthermore, encouraging information exchange and enhancing education improve the generation of information crossing and information variation.

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“…Thus, infectious disease models are often used to improve the study of rumor spreading [3,4]. Infectious disease transmission is one of the first communication problems studied by scholars, and commonly used infectious disease models include SI models, SIS models and SIR models [5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis and Optimal Control of Rumor Victims Affected by Positive Information on the Internet

Li,

Hu,

Meng

2023

Preprint

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The spread of rumors can have a profound impact on people’s physical and mental health, as well as social stability and development. From the perspective of rumor victims, this article proposes a Susceptible-Infected-Victims-Removed (SQVR) model which combines positive information dissemination on the internet. The model considers the impact of positive information on both rumor victims and spreaders on the internet, and proves the existence and stability of the model’s equilibrium point. Based on the selection of optimized control variables, a control strategy was designed to effectively suppress the spread of rumors and reduce the number of victims. Numerical simulations confirmed the theoretical analysis results and the influence of the system on the changes in control parameters. Furthermore, the SQV R model was compared with the SIR model, and the research indicated that the SQV R model reached equilibrium faster than the SIR model. Expanding the scope of positive information dissemination can effectively suppress the spread of rumors, rapidly free the victims of rumors from their predicament, and reduce the harm caused by rumors.

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Contagion spreading on complex networks with local deterministic dynamics

Cited by 20 publications

References 47 publications

Phase transition in a network model of social balance with Glauber dynamics

Phase transition in a network model of social balance with Glauber dynamics

Dynamic analysis and optimal control considering cross transmission and variation of information

Dynamic Analysis and Optimal Control of Rumor Victims Affected by Positive Information on the Internet

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