摘要翻译:
针对无标度稳态网络的情况,提出并分析了重布线网络上流行病传播的模型。研究发现,与人们天真的预期相反,重新布线的过程通常倾向于抑制流行病的传播。特别地,与静态网络一样,度分布指数为$\γ>3$的重布线网络在稳定状态下的感染率存在一个阈值,低于该阈值流行病就会消失。然而,在重新布线的情况下,阈值更高。对于$2<γ-leq3$,不存在该阈值,但对于较小的感染率,重新布线的网络感染节点的稳态密度(流行率)较小。
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英文标题:
《Epidemic spreading in evolving networks》
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作者:
Yonathan Schwarzkopf, Attila Rakos and David Mukamel
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最新提交年份:
2010
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分类信息:
一级分类:Physics 物理学
二级分类:Physics and Society 物理学与社会
分类描述:Structure, dynamics and collective behavior of societies and groups (human or otherwise). Quantitative analysis of social networks and other complex networks. Physics and engineering of infrastructure and systems of broad societal impact (e.g., energy grids, transportation networks).
社会和团体(人类或其他)的结构、动态和集体行为。社会网络和其他复杂网络的定量分析。具有广泛社会影响的基础设施和系统(如能源网、运输网络)的物理和工程。
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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: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:
A model for epidemic spreading on rewiring networks is introduced and analyzed for the case of scale free steady state networks. It is found that contrary to what one would have naively expected, the rewiring process typically tends to suppress epidemic spreading. In particular it is found that as in static networks, rewiring networks with degree distribution exponent $\gamma >3$ exhibit a threshold in the infection rate below which epidemics die out in the steady state. However the threshold is higher in the rewiring case. For $2<\gamma \leq 3$ no such threshold exists, but for small infection rate the steady state density of infected nodes (prevalence) is smaller for rewiring networks.
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PDF链接:
https://arxiv.org/pdf/1001.3878