The spread and control of rumors in a multilingual environment

Yu, Shuzhen; Yu, Zhiyong; Jiang, Haijun; Mei, Xuehui; Li, Jiarong

doi:10.1007/s11071-020-05621-7

Cited by 45 publications

(16 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…defines the transmission efficiency from the infected individual to the susceptible individual through the cloud j. Although the abstract parameter ∆ was eliminated by scaling (21), the expression for χ j still contains the parameters that are hard to estimate from some physical principles. Therefore, this parameter can rather be estimated by fitting the model to some real statistical data.…”

Section: Discussionmentioning

confidence: 99%

See 1 more Smart Citation

Modeling and Controlling the Spread of Epidemic with Various Social and Economic Scenarios

Lukyanets¹,

Gandzha²,

Kliushnichenko³

2020

Preprint

View full text Add to dashboard Cite

We propose a novel model for describing the spreading processes, in particular, epidemics. Our model is an extension of the SIQR (susceptible-infected-quarantine-recovered) and SIRP (susceptible-infected-recovered-pathogen) models used earlier to describe various scenarios of epidemic spread. As compared to the basic SIR model, our model takes into account two possible routes of virus transmission: direct from the infected compartment to the susceptible compartment and indirect via some intermediate medium or fomites. The transmission rates are estimated in terms of the average distances between the individuals in selected social environments and characteristic relaxation times. We also introduce a resource activation function that reflects the load of the epidemics on economics and the limited capacity of the medical infrastructure. Our model brings an advantage of building various control strategies to minimize the effect of the epidemic and can be applied to modeling the recent COVID-19 outbreak.

show abstract

Section: Discussionmentioning

confidence: 99%

“…diffusion [20]; and models allowing for nontrivial spatial structure or topology, e.g. [1,21]. One common feature in the majority of these models is the presence of kinetic coefficients or parameters that characterize the probability of elementary processes or reactions per unit time.…”

Section: Introductionmentioning

confidence: 99%

Modeling and Controlling the Spread of Epidemic with Various Social and Economic Scenarios

Lukyanets¹,

Gandzha²,

Kliushnichenko³

2020

Preprint

View full text Add to dashboard Cite

show abstract

“…In 1965In -1985, classical DK model [4] and MT model [5] are presented. Then many scholars improved the model according to different factors [6][7][8][9][10][11][12][13][14][15]. Kandhway and Kuri [6] used the MT rumor model to simulate the information dissemination in a homogeneous mixed population.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamical Analysis and Optimal Control Strategies for a New Rumor Spreading Model with Comprehensive Interventions

Guo

2021

Qual. Theory Dyn. Syst.

View full text Add to dashboard Cite

In the current era, information dissemination is more convenient, the harm of rumors is more serious than ever. At the beginning of 2020, COVID-19 is a biochemical weapon made by a laboratory, which has caused a very bad impact on the world. It is very important to control the spread of these untrue statements to reduce their impact on people’s lives. In this paper, a new rumor spreading model with comprehensive interventions (background detection, public education, official debunking, legal punishment) is proposed for qualitative and quantitative analysis. The basic reproduction number with important biological significance is calculated, and the stability of equilibria is proved. Through the optimal control theory, the expression of optimal control pairs is obtained. In the following numerical simulation, the optimal control under 11 control strategies are simulated. Through the data analysis of incremental cost-effectiveness ratio and infection averted ratio of all control strategies, if we consider the control problem from different perspectives, we will get different optimal control strategies. Our results provide a flexible control strategy for the security management department.

show abstract

“…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%

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

View full text Add to dashboard Cite

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.

show abstract

The spread and control of rumors in a multilingual environment

Cited by 45 publications

References 29 publications

Modeling and Controlling the Spread of Epidemic with Various Social and Economic Scenarios

Modeling and Controlling the Spread of Epidemic with Various Social and Economic Scenarios

Nonlinear Dynamical Analysis and Optimal Control Strategies for a New Rumor Spreading Model with Comprehensive Interventions

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

Contact Info

Product

Resources

About