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arXiv · 1510.06055

A lower bound on the performance of dynamic curing policies for epidemics on graphs

Kimon Drakopoulos·Asuman Ozdaglar·John N. Tsitsiklis
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Abstract

We consider an SIS-type epidemic process that evolves on a known graph. We assume that a fixed curing budget can be allocated at each instant to the nodes of the graph, towards the objective of minimizing the expected extinction time of the epidemic. We provide a lower bound on the optimal expected extinction time as a function of the available budget, the epidemic parameters, the maximum degree, and the CutWidth of the graph. For graphs with large CutWidth (close to the largest possible), and under a budget which is sublinear in the number of nodes, our lower bound scales exponentially with the size of the graph.

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Kimon Drakopoulos, Asuman Ozdaglar, John N. Tsitsiklis. 2015-10-20. A lower bound on the performance of dynamic curing policies for epidemics on graphs. https://arxiv.org/abs/1510.06055

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