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Exponential extinction time of the contact process on rank-one inhomogeneous random graphs

Published 5 Feb 2016 in math.PR and math.CO | (1602.02059v2)

Abstract: We show that the contact process on the rank-one inhomogeneous random graphs and Erdos-R{\'e}nyi graphs with mean degree large enough survives a time exponential in the size of these graphs for any positive infection rate. In addition, a metastable result for the extinction time is also proved.

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