Complex dynamic behavior of a rumor propagation model with spatial-temporal diffusion terms

Zhu, Linhe; Zhao, Hongyong; Wang, Haiyan

doi:10.1016/j.ins.2016.02.031

Cited by 79 publications

(31 citation statements)

References 48 publications

(79 reference statements)

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“…It is valuable to study the rumor-containing problem based on the more realistic node heterogeneity assumption [64][65][66]. The rumor suppression under rumor spreading models with diffusion terms is an interesting topic [67,68]. Usually, rumors may spread along various channels.…”

Section: Discussionmentioning

confidence: 99%

An effective rumor-containing strategy

Pan

Yang

et al. 2018

Physica A: Statistical Mechanics and its Applications

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False rumors can lead to huge economic losses or/and social instability. Hence, mitigating the impact of bogus rumors is of primary importance. This paper focuses on the problem of how to suppress a false rumor by use of the truth. Based on a set of rational hypotheses and a novel rumor-truth mixed spreading model, the effectiveness and cost of a rumor-containing strategy are quantified, respectively. On this basis, the original problem is modeled as a constrained optimization problem (the RC model), in which the independent variable and the objective function represent a rumor-containing strategy and the effectiveness of a rumor-containing strategy, respectively. The goal of the optimization problem is to find the most effective rumor-containing strategy subject to a limited rumor-containing budget. Some optimal rumor-containing strategies are given by solving their respective RC models. The influence of different factors on the highest cost effectiveness of a RC model is illuminated through computer experiments. The results obtained are instructive to develop effective rumor-containing strategies. equation. Due to the exact modeling and the perfect accommodation of the network topology, this model characterizes the SIS epidemics more accurately as compared with all previous SIS models. Moreover, this model is analytically tractable, resulting in profound conclusions. In recent years, this individual-based modeling approach has been widely applied to areas such as epidemic spreading [42][43][44], malware propagation [45][46][47][48][49][50][51][52], cyber security [53][54][55][56][57], and message transmission [58]. To our knowledge, to date the rumor-containing problem has not yet been studied under individual-level rumor spreading models.Clarifying rumors by releasing truths is a common way to inhibit rumors [59,60]. In this context, every individual may choose to believe the rumor or believe the truth or be uncertain. This paper focuses on the problem of how to inhibit a false rumor by use of the truth. Based on a novel individual-level rumor-truth mixed spreading model, the effectiveness and cost of a rumor-containing strategy are quantified. Thereby, the original problem is modeled as a constrained optimization problem (the rumor-containing (RC) model), in which the independent variable and the objective function represent a rumor-containing strategy and the effectiveness of a rumor-containing strategy, respectively. The goal of the optimization problem is to find the most effective rumor-containing strategy subject to a limited rumor-containing budget. Some optimal rumor-containing strategies are given by solving their respective RC models. The influence of different factors on the highest cost effectiveness of a RC model is uncovered through computer simulations. These results are condusive to the design of practical rumor-containing strategies. To our knowledge, this is the first time the rumor-containing problem is treated in this way.The subsequent materials of this work are organized in this fashion: ...

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Section: Discussionmentioning

confidence: 99%

An effective rumor-containing strategy

Pan

Yang

et al. 2018

Physica A: Statistical Mechanics and its Applications

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“…Therefore, based on the diffusion equation, a discrete, nonlocal delay propagation model is proposed. Considering the diversity of software, based on the study of the rumor propagation process in malware, the SEIRS-V model is proposed [34]. From the view of the classical SIR model, Tian designed the SSIC model, which can effectively intervene the rumor propagation [35].…”

Section: Applied Computer Theorymentioning

confidence: 99%

Rumor Spreading: A Survey

Jin¹,

Zhou²

2017

dtcse

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It is the key factor to restrain rumor spreading, purify the environment of network and promote network harmony that deep studying the rumor spreading. The paper first discussed the serious harmfulness of rumor spreading to society. Then, from the social media types, model research methods, model structure, research theory and whether the relationship considered the trust, the paper made the classified research and discussion of the network dissemination; finally, the paper made a prospect of the future research of rumor spreading and put forward some further research ideas.

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“…Using real data coming from Digg (an online social network), Wang verified the reliability of the PDE model. Zhu, Zhao and Wang [26][27][28] studied several reaction-diffusion malware propagation models and obtained some results for stability and bifurcation of positive equilibrium points. Dai et al [29] studied a partial differential equation with a Robin boundary condition in online social networks and discussed temporal and spatial properties of social networks.…”

Section: Introductionmentioning

confidence: 99%

Partial differential equation modeling with Dirichlet boundary conditions on social networks

Lian

Cheng

2018

Bound Value Probl

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The being a wide range of applications of the Internet, social networks have become an effective and convenient platform for information communication, propagation and diffusion. Most of information exchange and spreading exist in social networks. The issue of information diffusion in social networks is getting more and more attention by government and individuals. The researchers investigated either empirical studies or focused on ordinary differential equation (ODE) models with only consideration of temporal dimension in most prior work. As is well known, partial differential equations (PDEs) can describe temporal and spatial patterns of information diffusion over online social networks; however, until now, results for understanding information propagation of social networks over both temporal and spatial dimensions are few. This paper is devoted to investigating a non-autonomous diffusive logistic model with Dirichlet boundary conditions to describe the process of information propagation in social networks. By constructing upper and lower solutions we obtain the dynamic behavior of the solution to the non-autonomous diffusive logistic model. Our results show that information diffusion is greatly affected by the diffusion coefficient d(t) and the intrinsic growth rate r(t).

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Complex dynamic behavior of a rumor propagation model with spatial-temporal diffusion terms

Cited by 79 publications

References 48 publications

An effective rumor-containing strategy

An effective rumor-containing strategy

Rumor Spreading: A Survey

Partial differential equation modeling with Dirichlet boundary conditions on social networks

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