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Epidemics with temporary link deactivation in scale-free networks

机译:无标度网络中具有临时链路失效的流行病

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摘要

During an epidemic, people may adapt or alter their social contacts to avoid infection. Various adaptation mechanisms have been studied previously. Recently, a new adaptation mechanism was presented in [], where susceptible nodes temporarily deactivate their links to infected neighbors and reactivate when their neighbors recover. Considering the same adaptation mechanism on a scale-free network, we find that the topology of the subnetwork consisting of active links is fundamentally different from the original network topology. We predict the scaling exponent of the active degree distribution and derive mean-field equations by using improved moment closure approximations based on the conditional distribution of active degree given the total degree. These mean field equations show better agreement with numerical simulation results than the standard mean field equations based on a homogeneity assumption.
机译:在流行期间,人们可能会适应或改变他们的社交联系,以避免感染。先前已经研究了各种适应机制。最近,在[]中提出了一种新的适应机制,其中易受影响的节点会暂时停用其与受感染邻居的链接,并在其邻居恢复后重新激活。考虑到无标度网络上的相同适应机制,我们发现由活动链路组成的子网的拓扑结构与原始网络拓扑结构根本不同。我们预测了活动度分布的比例指数,并基于给定总度数的活动度的条件分布,使用改进的力矩闭合近似来推导平均场方程。与基于均一性假设的标准平均场方程相比,这些平均场方程显示出与数值模拟结果更好的一致性。

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