Spectral properties of the connectivity matrix and the SIS-epidemic threshold for mid-size metapopulations
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We consider the spread of an infectious disease on a heterogeneous metapopulation deﬁned by any (correlated or uncorrelated) network. The infection evolves under transmission, recovering 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
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CitacióJuher, D.; Mañosa, V. "Spectral properties of the connectivity matrix and the SIS-epidemic threshold for mid-size metapopulations". 2013.