Invasion Threshold in Heterogeneous Metapopulation Networks

Vittoria Colizza, Alessandro Vespignani
<span title="2007-10-05">2007</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="" style="color: black;">Physical Review Letters</a> </i> &nbsp;
We study the dynamics of epidemic and reaction-diffusion processes in metapopulation models with heterogeneous connectivity pattern. In SIR-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
more &raquo; ... ed by the topological fluctuations of the metapopulation network. The presented results provide a general framework for the understanding of the effect of travel restrictions in epidemic containment.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="">doi:10.1103/physrevlett.99.148701</a> <a target="_blank" rel="external noopener" href="">pmid:17930732</a> <a target="_blank" rel="external noopener" href="">fatcat:sehwdpzvy5htno3xujdx7bbqly</a> </span>
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