Epidemic outbreak for an SIS model in multiplex networks with immunization

Qingchu Wu, Yijun Lou, Wenfang Zhu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

31 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)38-46
Number of pages9
JournalMathematical Biosciences
Publication statusPublished - 1 Jul 2016


  • Epidemic spreading
  • Immunization
  • Multiplex network
  • Threshold condition

ASJC Scopus subject areas

  • Statistics and Probability
  • Modelling and Simulation
  • General Biochemistry,Genetics and Molecular Biology
  • General Immunology and Microbiology
  • General Agricultural and Biological Sciences
  • Applied Mathematics


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