摘要翻译:
我们数值研究了复杂网络上疾病爆发的变异性。我们用一个SI模型来模拟疾病在短时间、均匀和无标度网络中的传播。在这两种情况下,我们研究初始条件对流行病动力学及其变异性的影响。结果显示了一个流行率对噪声表现出较大敏感性的时间段。我们还研究了感染时间与节点的程度和与种子的距离的关系。特别地,我们发现枢纽的感染时间有很大的波动,这限制了它们作为早期检测站的可靠性。最后,我们讨论了两节点间最短路径的多重性对感染时间的影响。此外,我们还证明了更长路径的存在减少了平均感染时间。这些不同的结果可以用于时间相关遏制策略的设计。
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英文标题:
《Epidemic variability in complex networks》
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作者:
Pascal Cr\'epey, Fabi\'an P. Alvarez and Marc Barth\'elemy
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最新提交年份:
2006
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分类信息:
一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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一级分类:Physics 物理学
二级分类:Other Condensed Matter 其他凝聚态物质
分类描述:Work in condensed matter that does not fit into the other cond-mat classifications
在不适合其他cond-mat分类的凝聚态物质中工作
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一级分类:Physics 物理学
二级分类:Data Analysis, Statistics and Probability
数据分析、统计与概率
分类描述:Methods, software and hardware for physics data analysis: data processing and storage; measurement methodology; statistical and mathematical aspects such as parametrization and uncertainties.
物理数据分析的方法、软硬件:数据处理与存储;测量方法;统计和数学方面,如参数化和不确定性。
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一级分类:Quantitative Biology 数量生物学
二级分类:Other Quantitative Biology 其他定量生物学
分类描述:Work in quantitative biology that does not fit into the other q-bio classifications
不适合其他q-bio分类的定量生物学工作
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英文摘要:
We study numerically the variability of the outbreak of diseases on complex networks. We use a SI model to simulate the disease spreading at short times, in homogeneous and in scale-free networks. In both cases, we study the effect of initial conditions on the epidemic's dynamics and its variability. The results display a time regime during which the prevalence exhibits a large sensitivity to noise. We also investigate the dependence of the infection time on nodes' degree and distance to the seed. In particular, we show that the infection time of hubs have large fluctuations which limit their reliability as early-detection stations. Finally, we discuss the effect of the multiplicity of shortest paths between two nodes on the infection time. Furthermore, we demonstrate that the existence of even longer paths reduces the average infection time. These different results could be of use for the design of time-dependent containment strategies.
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PDF链接:
https://arxiv.org/pdf/cond-mat/0602562