An efficient curing policy for epidemics on graphs

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 $\Omega (W)$, where $W$ is the CutWidth of the graph, and also of order $\Omega (\log n)$, 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 $r$.

References in corpus (2)

• Efficient Immunization Strategies for Computer Networks and Populations
• Optimal Vaccine Allocation to Control Epidemic Outbreaks in Arbitrary Networks