期刊
MATHEMATICAL BIOSCIENCES
卷 232, 期 1, 页码 57-65出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.mbs.2011.04.003
关键词
Reed-Frost epidemic; Weighted graph; Degree distribution; Epidemic threshold; Vaccination
资金
- Bank of Sweden Tercentenary Foundation
A Reed-Frost epidemic with inhomogeneous infection probabilities on a graph with prescribed degree distribution is studied. Each edge (u, v) in the graph is equipped with two weights W-(u,W-v) and W-(v,W-u) that represent the (subjective) strength of the connection and determine the probability that u infects v in case u is infected and vice versa. Expressions for the epidemic threshold are derived for i.i.d. weights and for weights that are functions of the degrees. For i.i.d. weights, a variation of the so called acquaintance vaccination strategy is analyzed where vertices are chosen randomly and neighbors of these vertices with large edge weights are vaccinated. This strategy is shown to outperform the strategy where the neighbors are chosen randomly in the sense that the basic reproduction number is smaller for a given vaccination coverage. (C) 2011 Elsevier Inc. All rights reserved.
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