集合种群网络中扩散率对传染病传播的影响
Effects of diffusion rates on epidemic spreads in metapopulation networks
摘要：
它通常是有用的移动代理的传染动力学的集合种群模型。在这样的模型中，集合种群形成一个静态网络，个体从一个集合种群迁移到另一个集合种群。众所周知，集合种群网络的异质度分布降低了流行病传播的阈值。我们研究了异质度分布和扩散对集合种群网络中流行病的综合影响。我们发现，对于任意的异构网络，扩散抑制流行病的意义上的增加的流行病阈值。另一方面，需要一定的扩散率来引发全球范围的流行病传播。由于这些相反的扩散效应，接近流行阈值的传染病传播在中等扩散速率下最为显著。当个体固定在静态网络的节点上时，扩散可以抑制流行病的结果与扩散SIS动力学及其变体形成对比。
英文摘要：
It is often useful to represent the infectious dynamics of mobile agents by metapopulation models. In such a model, metapopulations form a static network, and individuals migrate from one metapopulation to another. It is known that heterogeneous degree distributions of metapopulation networks decrease the epidemic threshold above which epidemic spreads can occur. We investigate the combined effect of heterogeneous degree distributions and diffusion on epidemics in metapopulation networks. We show that for arbitrary heterogeneous networks, diffusion suppresses epidemics in the sense of an increase in the epidemic threshold. On the other hand, some diffusion rates are needed to elicit epidemic spreads on a global scale. As a result of these opposing effects of diffusion, epidemic spreading near the epidemic threshold is the most pronounced at an intermediate diffusion rate. The result that diffusion can suppress epidemics contrasts with that for diffusive SIS dynamics and its variants when individuals are fixed at nodes on static networks.
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