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Epidemic outbreak for an SIS model in multiplex networks with immunization

Qingchu Wu1, Yijun Lou2, Wenfang Zhu1

  • 1College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi 330022, PR China.

Mathematical Biosciences
|April 24, 2016
PubMed

With the aim of understanding epidemic spreading in a general multiplex network and designing optimal immunization strategies, a mathematical model based on multiple degree is built to analyze the threshold condition for epidemic outbreak. Two kinds of strategies, the multiplex node-based immunization and the layer node-based immunization, are examined. Theoretical results show that the general framework proposed here can illustrate the effect of diverse correlations and immunizations on the outbreak condition in multiplex networks. Under a set of conditions on uncorrelated coefficients, the specific epidemic thresholds are shown to be only dependent on the respective degree distribution in each layer.

Keywords:
Epidemic spreadingImmunizationMultiplex networkThreshold condition

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