DocumentCode :
21936
Title :
An Efficient Curing Policy for Epidemics on Graphs
Author :
Drakopoulos, Kimon ; Ozdaglar, Asuman ; Tsitsiklis, John N.
Author_Institution :
Laboratory of Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, MA
Volume :
1
Issue :
2
fYear :
2014
fDate :
July-Dec. 1 2014
Firstpage :
67
Lastpage :
75
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 .
Keywords :
Contagious diseases; Curing rates; Diseases; Epidemics; Graph theory; Networks; Process control; Resource management; Time measurement; Networks; contagion; control; epidemics; influence minimization;
fLanguage :
English
Journal_Title :
Network Science and Engineering, IEEE Transactions on
Publisher :
ieee
ISSN :
2327-4697
Type :
jour
DOI :
10.1109/TNSE.2015.2393291
Filename :
7010945
Link To Document :
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