How to distribute antidote to control epidemics |
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| Authors: | Christian Borgs Jennifer Chayes Ayalvadi Ganesh Amin Saberi |
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| Affiliation: | 1. Microsoft Research, One Memorial Drive, Cambridge, Massachusetts 02142;2. Department of Mathematics, University of Bristol, Bristol BS8 1TW, UK;3. Department of Management Science and Engineering, Institute for Computational and Mathematical Engineering, Stanford University, Stanford, California 94305 |
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| Abstract: | We give a rigorous analysis of variations of the contact process on a finite graph in which the cure rate is allowed to vary from one vertex to the next, and even to depend on the current state of the system. In particular, we study the epidemic threshold in the models where the cure rate is proportional to the degree of the node or when it is proportional to the number of its infected neighbors. © 2010 Wiley Periodicals, Inc. Random Struct. Alg., 2010 |
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| Keywords: | contact process networks controlling epidemics |
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