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首页> 外文期刊>Mathematical modelling of natural phenomena >Spectral Properties of the Connectivity Matrix and the SIS-epidemic Threshold for Mid-size Metapopulations
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Spectral Properties of the Connectivity Matrix and the SIS-epidemic Threshold for Mid-size Metapopulations

机译：连接矩阵的光谱特性和中等流行人群的SIS流行病阈值

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摘要

We consider the spread of an infectious disease on a heterogeneous metapopulation defined by any (correlated or uncorrelated) network. The infection evolves under transmission, recovery and migration mechanisms. We study some spectral properties of a connectivity matrix arising from the continuous-time equations of the model. In particular we show that the classical sufficient condition of instability for the disease-free equilibrium, well known for the particular case of uncorrelated networks, works also for the general case. We give also an alternative condition that yields a more accurate estimation of the epidemic threshold for correlated (either assortative or dissortative) networks.
机译：我们考虑通过任何（相关或不相关）网络定义的异质性种群传播传染病。感染在传播，恢复和迁移机制下发展。我们研究了由模型的连续时间方程引起的连通性矩阵的某些光谱特性。特别地，我们表明，对于无关联网络的特定情况众所周知的，无病平衡的经典充分的不稳定性条件也适用于一般情况。我们还给出了一个替代条件，该条件可对相关（分类或分类）网络的流行阈值进行更准确的估计。

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