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Invasion Threshold in Heterogeneous Metapopulation Networks
<span title="2007-10-05">2007</span>
<i title="American Physical Society (APS)">
<a target="_blank" rel="noopener" href="https://fatcat.wiki/container/pkmpevvs3bgkhal5dvrmsu5mvq" style="color: black;">Physical Review Letters</a>
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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
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<a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physrevlett.99.148701">doi:10.1103/physrevlett.99.148701</a>
<a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/17930732">pmid:17930732</a>
<a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/sehwdpzvy5htno3xujdx7bbqly">fatcat:sehwdpzvy5htno3xujdx7bbqly</a>
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... 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.
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