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In this paper, we study the epidemic spreading in scale-free networks and propose a new susceptible-infected-recovered (SIR) model that includes the effect of individual vigilance. In our model, the effective spreading rate is dynamically adjusted with the time evolution at the vigilance period. Using the mean-field theory, an analytical result is derived. It shows that individual vigilance has no effect on the epidemic threshold. The numerical simulations agree well with the analytical result. Furthermore, we investigate the effect of individual vigilance on the epidemic spreading speed. It is shown that individual vigilance can slow the epidemic spreading speed effectively and delay the arrival of peak epidemic infection. 相似文献
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基于一维元胞自动机,研究复杂网络恶意软件传播行为.利用信息网络节点全局交互的特点,建立元胞自动机邻域和状态转换函数,提出恶意软件传播模型,研究在多种网络拓扑下恶意软件传播的概率行为.研究表明,该模型能够准确描述在最近邻耦合网络(nearest-neighbor coupled network, NC),Erdos-Renyi(ER)随机网络,Watts-Strogatz(WS) 小世界网络和Barabasi-Albert(BA)幂率网络等拓扑下的传播动力学行为,不仅能反映恶意软件传播的平均趋势,而且可以描述病毒消亡和渗透等稀有概率事件,有效克服基于平均场方法建立的微分方程模型只能反映传播的平均趋势,只适合对传播作整体预测的局限性.同时,研究指出网络中度分布的异质化程度和网络的局域空间交互特征是影响传播及免疫行为的关键要素.
关键词:
复杂网络
恶意软件传播
元胞自动机
状态转换函数 相似文献
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根据小隔板试验的拉氏传感器测试结果,用拉氏分析方法求得了粗颗粒包复TNT炸药中的冲击波成长过程和熄灭过程的流场分布,用实验结果确定了点火增长模型中的待定参数。利用拉氏分析方法时,对未反应炸药和已反应产物的状态方程都采用JWL状态方程,使确定的参数可以直接用于有限元程序LSDYAN计算。通过拉氏分析得到了各迹线上的反应度,结果表明,冲击波在熄灭过程中仍能引起炸药的局部化学反应。 相似文献
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研究节点输出耦合混沌复杂动态网络不稳定平衡点的控制问题,基于输出控制思想,提出网络节点不稳定平衡点的全局控制方法以及牵制控制方法,将混沌复杂动态网络的所有节点镇定到其平衡点.利用李稚普诺夫稳定性理论,得到控制器参数选择条件,以蔡氏混沌电路作为网络节点动态进行仿真研究,证明该方法的有效性. 相似文献
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This paper proposes a novel approach for fault diagnosis of a time-delay complex dynamical network.Unlike the other methods,assuming that the dynamics of the network can be described by a linear stochastic model,or using the state variables of nodes in the network to design an adaptive observer,it only uses the output variable of the nodes to design an observer and an adaptive law of topology matrix in the observer of a complex network,leading to simple design of the observer and easy realisation of topology monitoring for the complex networks in real engineering.The proposed scheme can monitor any changes of the topology structure of a time-delay complex network.The effectiveness of this method is successfully demonstrated by virtue of a complex networks with Lorenz model. 相似文献