BIFURCATION CONTROL FOR A FRACTIONAL-ORDER DELAYED SEIR RUMOR SPREADING MODEL WITH INCOMMENSURATE ORDERS

A fractional-order delayed SEIR rumor spreading model with a nonlinear incidence function is established in this paper,and a novel strategy to control the bifurcation of this model is proposed.First,Hopf bifurcation is investigated by considering time delay as bifurcation parameter for the system without a feedback controller.Then,a state feedback controller is designed to control the occurrence of bifurcation in advance or to delay it by changing the parameters of the controller.Finally,in order to verify the theoretical results,some numerical simulations are given.

Dynamical behavior and optimal impulse control analysis of a stochastic rumor spreading model

The Internet era has brought great convenience to our life and communication.Meanwhile,it also makes a bunch of rumors propagate faster and causes even more harm to human life.Therefore,it is necessary to perform effective control mechanisms to minimize the negative social impact from rumors.Thereout,firstly,we formulate a rumor spreading model considering psychological factors and thinking time,then,we add white noise(i.e.,stochastic interference)and two pulse control strategies which denote education mechanism and refutation mechanism into the model.Secondly,we obtain the global positive solutions and demonstrate the global exponential stability of the unique positive periodic rumor-free solution.Thirdly,we discuss the extinction and persistence of rumor.Moreover,we use Pontriagin’s minimum principle to explore the optimal impulse control.Finally,several numerical simulations are carried out to verify the effectiveness and availability of the theoretical analysis.We conclude that the pulse control strategies have a great influence on controlling rumor spreading,and different control strategies should be adopted under different transmission scenarios.

Near-optimal control of a stochastic rumor spreading model with Holling II functional response function and imprecise parameters

In recent years,rumor spreading has caused widespread public panic and affected the whole social harmony and stability.Consequently,how to control the rumor spreading effectively and reduce its negative influence urgently needs people to pay much attention.In this paper,we mainly study the near-optimal control of a stochastic rumor spreading model with Holling II functional response function and imprecise parameters.Firstly,the science knowledge propagation and the refutation mechanism as the control strategies are introduced into a stochastic rumor spreading model.Then,some sufficient and necessary conditions for the near-optimal control of the stochastic rumor spreading model are discussed respectively.Finally,through some numerical simulations,the validity and availability of theoretical analysis is verified.Meanwhile,it shows the significance and effectiveness of the proposed control strategies on controlling rumor spreading,and demonstrates the influence of stochastic disturbance and imprecise parameters on the process of rumor spreading.

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

In this paper, the SECIR rumor spreading model is formulated and analyzed, in which the social education level and the counterattack mechanism are taken into consideration. The results show that improving education level and increasing the ratio of counter are effective in reducing the risk of rumor propagation and enhancing the resistance to rumor propagation.

Rumor Spreading Model with Trust Mechanism in Complex Social Networks

In this paper, to study rumor spreading, we propose a novel susceptible-infected-removed (SIR) model by introducing the trust mechanism. We derive mean-field equations that describe the dynamics of the SIR model on homogeneous networks and inhomogeneous networks. Then a steady-state analysis is conducted to investigate the critical threshold and the final size of the rumor spreading. We show that the introduction of trust mechanism reduces the final rumor size and the velocity of rumor spreading, but increases the critical thresholds on both networks. Moreover, the trust mechanism not only greatly reduces the maximum rumor influence, but also postpones the rumor terminal time, which provides us with more time to take measures to control the rumor spreading. The theoretical results are confirmed by sufficient numerical simulations.

SEIR Model of Rumor Spreading in Online Social Network with Varying Total Population Size

Based on the infectious disease model with disease latency, this paper proposes a new model for the rumor spreading process in online social network. In this paper what we establish an SEIR rumor spreading model to describe the online social network with varying total number of users and user deactivation rate. We calculate the exact equilibrium points and reproduction number for this model. Furthermore, we perform the rumor spreading process in the online social network with increasing population size based on the original real world Facebook network. The simulation results indicate that the SEIR model of rumor spreading in online social network with changing total number of users can accurately reveal the inherent characteristics of rumor spreading process in online social network.

Reliability and Efficiency of Generalized Rumor Spreading Model on Complex Social Networks

We introduce the generalized rumor spreading model and investigate some properties of this model on different complex social networks. Despite pervious rumor models that both the spreader-spreader (SS) and the spreader-stifler (SR) interactions have the same rate α, we define α(1) and α(2) for SS and SR interactions, respectively. The effect of variation of α(1) and α(2) on the final density of stiflers is investigated. Furthermore, the influence of the topological structure of the network in rumor spreading is studied by analyzing the behavior of several global parameters such as reliability and efficiency. Our results show that while networks with homogeneous connectivity patterns reach a higher reliability, scale-free topologies need a less time to reach a steady state with respect the rumor.

SIS Model of Rumor Spreading in Social Network with Time Delay and Nonlinear Functions

With the advent of the information age of networks,the study about rumor propagation in social networks has become increasingly significant.In this paper,a rumor propagation model with nonlinear functions and time delay in social networks is proposed.First,according to the nextgeneration matrix method,we work out the basic reproduction number.Second,we discuss the existence of the rumor-prevailing equilibrium points.Third,we demonstrate the stabilities of equilibrium points and analyze the sufficient conditions for Hopf bifurcation.Finally,the correctness of the theory is verified and several vital conclusions are obtained by numerical simulations.

A Class of Rumor Spreading Models with Population Dynamics

Based on the characteristics of rumor spreading in online social networks, this paper proposes a new rumor spreading model. This is an improved SIS rumor spreading model in online social networks that combines the transmission dynamics and population dynamics with consideration of the impact of both of the changing number of online social network users and different levels of user activity. We numerically simulate the rumor spreading process. The results of numerical simulation show that the improved SIS model can successfully characterize the rumor spreading behavior in online social networks. We also give the effective strategies of curbing the rumor spreading in online social networks.

SE2IR Invest Market Rumor Spreading Model Considering Hesitating Mechanism

According to the actual situation of investor network, a SE2IR rumor spreading model with hesitating mechanism is proposed, and the corresponding mean-?eld equations is obtained on scale-free network. In this paper, we ?rst combine the theory of spreading dynamics and ?nd out the basic reproductive number R0. And then analyzes the stability of the rumor-free equilibrium and the?nal 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.

Research on Rumor Spreading Model with Time Delay and Control Effect

Information flow retains a critical role in decision making among investors. In this paper,we employ a diffusion model based on epidemiology theory to study the rumor spreading process within investors. The paper introduce the feedback mechanism of classical control theory into the model, which helps to reflect the interaction between rumor spreaders and information supervision.Further we apply a time delay factor to give investors access to transparent information and change their behavior. Subsequently, the stability of the rumor disappearance equilibrium and the rumor existence equilibrium are analyzed and the condition for the system undergoes a Hopf-bifurcation is given. The mathematical arguments are subjected to numerical simulations to present the ideal case scenarios. The results suggest that, increase the general strength of information supervision and the proportion coefficient associated with the infected population in the short-term delay are conducive to better control.

具有重新接收率的CASRC谣言传播模型稳定性分析

针对谣言传播初期个体识别谣言或对谣言不感兴趣变为理智者,但由于从众心理等原因在谣言传播后期理智者会以一定的概率变为谣言轻信者的现象,建立了轻信者-潜在传播者-传播者-理智者-轻信者(credulous-affacted-spreader-rational-credulous,CASRC)谣言传播模型。首先利用再生矩阵计算了谣言传播的基本再生数R_(0),并根据Routh-Hurwitz判据证明了R_(0)<1时谣言消亡平衡点的局部渐近稳定性,通过构造Lyapunov函数证明了R_(0)≤1时谣言消亡平衡点的全局渐近稳定性。其次利用第二加性复合矩阵的方法证明了R_(0)>1且β≤β-时谣言持久平衡点的全局渐近稳定性。最后考虑了接触率α_(1)和网络平均度k-对谣言传播的影响,通过数值模拟验证了结果。该研究能帮助政府相关部门制定抑制谣言传播的策略。

带辟谣机制的SICR网络谣言传播模型

针对谣言传播过程中知道谣言真相的人会对其谣言进行辟谣的现象,结合网络的均匀性结构特征,将种群分为未知者I、传播者S、辟谣者C和免疫者R,提出了一种新的带辟谣机制的SICR谣言传播模型。首先,通过平均场理论给出了SICR谣言在均匀网络结构下的传播动力学方程。其次,利用微分方程理论分析了模型的平衡点存在性,利用下一代矩阵法计算了模型的基本再生数,根据Routh-Hurwitz准则分析了模型在平衡点处的局部渐近稳定性,根据Lyapunov稳定性理论证明了模型在无谣言平衡点处的全局渐近稳定性。最后,通过仿真实验验证了理论结果的正确性。仿真实验表明,减少传播率、增加辟谣率与免疫率能有效抑制谣言传播,且辟谣机制对谣言传播具有重要影响。

带有衰减效应和遗忘机制的微博网络谣言传播模型

随着微博用户的迅速增长,对网络谣言的控制也变得更加重要。为了快速平息微博谣言,缩小谣言在微博网络上的传播范围,研究了影响谣言传播的关键因素。首先,结合谣言在微博网络上的传播场景,创新性地提出了UNFR传播模型。该模型将用户分为4类:未知者、中立者、转发者和反驳者,并考虑了衰减效应和遗忘机制,从而重新定义了模型节点状态转移。通过对模型的动力学分析及数值实验,分析了网络谣言传播规律。然后,在微博网络上进行传播模拟实验,验证了模型的合理性。通过分析模型参数对谣言传播的影响,得到了缩小谣言传播范围的方法。最后,研究了模型在不同参数初值下的谣言控制效果,并根据实验结果提出了有效的微博谣言控制策略。

认知域信息传播的HSIR模型及其数学仿真应用的传播特点研究

目的构建首个认知域信息传播的动力学理论模型以推动认知域信息攻防的体系建立,并利用仿真数学模型进行概念验证。方法在理论构念上提出认知域信息传播的核心-易感-感染-康复传播动力学模型(Hub-Susceptible-Infected-Recovery,HSIR),基于龙格-库塔法的非线性积分方程进行模型仿真验证。结果标准HSIR模型的仿真结果显示,认知域信息在1万人的群体中传播,将在第46天达到峰值,峰值传播感染7480人,基本再生数为1.3。在模拟分别时滞8、4 d和2 d后对认知域信息传播进行拒止干预,其传播感染峰值感染数不断下降(D8=5822,D4=4892,D2=4126),其传播感染峰值发生时间不断提前(D8=92,D4=62,D2=41)。结论基于HSIR理论模型,本研究提出了认知域信息传播动力学模型,并初步提出了认知域信息攻防体系。

具有交叉传播的SIMR谣言传播模型的动力学分析

基于谣言的传播机制建立了一个具有个体和媒介交叉传播的SIMR谣言传播动力学模型,研究了交叉传播对谣言传播的影响.首先,利用下一代矩阵法得到了基本再生数R_(0),证明了R_(0)≤1时无谣言平衡点的全局渐近稳定性;其次,证明了R_(0)>1时,模型的一致持续性和谣言盛行平衡点的唯一性;最后,利用Lyapunov函数和图论理论,证明了谣言盛行平衡点的全局渐近稳定性.这些结果说明交叉传播会影响谣言传播的基本再生数,但不影响谣言传播的全局动力学属性.

突发公共事件中强关系社交网络谣言扩散机制研究--基于情景意识理论

[研究目的]突发公共事件中强关系社交网络谣言呈现核聚变式快速传播,从认知加工视角探究谣言扩散影响因素与作用路径可以提升对谣言传播机制的理解,进而有效遏制谣言传播。[研究方法]以情景意识理论为基础,使用调查研究法探究证实了突发公共事件中受众会整合环境情境性、信息性和主体性信息并进行匹配与加工,在知觉与理解层次等情景意识作用下形成对谣言的扩散意愿。[研究结论]事件重大性与信息模糊性通过风险感知的完全中介作用正向影响谣言扩散,信息框架性与情绪性通过信任度的部分中介作用正向影响谣言扩散;主体的个体活跃度与群体凝聚力通过信任度的完全中介作用正向影响谣言扩散。

具有复发的SEILR谣言传播模型的动力学分析

基于谣言的传播机制,考虑人际因素导致的谣言复发,建立了一个SEILR谣言传播模型,研究了人际因素对谣言传播的影响。首先,给出谣言传播的阈值R 0,并分析了R 0<1时,无谣言平衡点的稳定性;其次,分析了多平衡态的存在性,并给出了模型发生后向分支的条件,然后通过构造Lyapunov函数证明了退化模型正平衡点的全局渐近稳定性;最后,通过数值模拟发现模型会出现退化的Hopf分支,模型存在2个极限环,其中大极限环不稳定,小极限环稳定。研究结果说明人际因素导致的谣言复发会改变谣言的动态传播趋势。

基于均匀网络的大学生IG2D2谣言传播模型研究

随着上网方式的便捷和网络平台规模的扩大,谣言在网络平台上获得了得以滋生的土壤,各类谣言层出不穷。为了应对这一现状,以高校学生群体作为研究对象,对其群体特征进行一定的分类与表现描述,在经典SIR传染病模型中融入复杂网络等交叉学科知识,提出了均匀网络结构上具有6种状态的IG2D2谣言传播模型。制定了模型的传播机制,在此基础上研究4类大学生群体中谣言传播过程的不同性,通过各类仿真实验中的数据支持及理论支撑,验证了该模型对现实谣言传播的适用性,并针对不同大学生群体提出了新的相应辟谣策略。

机理与策略:突发疫情中网民谣言信息偶遇行为的扎根分析

[研究目的]探究突发疫情中网民谣言信息偶遇行为发生机理,为防范此种行为发生提供依据和应对策略。[研究方法]通过深度访谈和文献搜集获取数据材料,基于扎根理论构建突发疫情中网民谣言信息偶遇行为发生的理论模型,并进行机理阐释。[研究结论]突发疫情中网民谣言信息偶遇行为的发生是主客观因素综合作用的结果,应对这一行为,应从转移社会关注、构建信息信任、抑制谣言传播、重塑网络习惯等方面着手进行。