Invasion threshold in heterogeneous metapopulation networks
Invasion threshold in heterogeneous metapopulation networks
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DOI：
10.1103/physrevlett.99.148701
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发表时间：
2007-10-05
影响因子：
8.6
通讯作者：
Vespignani, Alessandro
中科院分区：
文献类型：
--
作者：
Colizza, Vittoria;Vespignani, Alessandro
研究了具有异质连接模式的集合种群模型中的传染病和反应扩散过程的动力学。在类似传染病清除的过程中，沿着标准的局部传染病阈值，系统表现出一个全局入侵阈值。我们提供了一个明确的表达的阈值，设置一个临界值的扩散/流动率低于，该流行病是不能够传播到一个宏观部分的亚群。入侵阈值被发现的集合种群网络的拓扑波动的影响。提出的结果提供了一个总体框架，了解旅行限制在流行病遏制的影响。
We study the dynamics of epidemic and reaction-diffusion processes in metapopulation models with heterogeneous connectivity patterns. In susceptible-infected-removed-like processes, along with the standard local epidemic threshold, the system exhibits a global invasion threshold. We provide an explicit expression of the threshold that sets a critical value of the diffusion/mobility rate below, which the epidemic is not able to spread to a macroscopic fraction of subpopulations. The invasion threshold is found to be affected by the topological fluctuations of the metapopulation network. The results presented provide a general framework for the understanding of the effect of travel restrictions in epidemic containment.