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arXiv · 1407.2241

An efficient curing policy for epidemics on graphs

Kimon Drakopoulos·Asuman Ozdaglar·John N. Tsitsiklis
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Abstract

We provide a dynamic policy for the rapid containment of a contagion process modeled as an SIS epidemic on a bounded degree undirected graph with n nodes. We show that if the budget $r$ of curing resources available at each time is $Ω(W)$, where $W$ is the CutWidth of the graph, and also of order $Ω(\log n)$, then the expected time until the extinction of the epidemic is of order $O(n/r)$, which is within a constant factor from optimal, as well as sublinear in the number of nodes. Furthermore, if the CutWidth increases only sublinearly with n, a sublinear expected time to extinction is possible with a sublinearly increasing budget $r$.

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Kimon Drakopoulos, Asuman Ozdaglar, John N. Tsitsiklis. 2014-07-07. An efficient curing policy for epidemics on graphs. https://arxiv.org/abs/1407.2241

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