Abstract
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 language | English |
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Pages (from-to) | 38-46 |
Number of pages | 9 |
Journal | Mathematical Biosciences |
Volume | 277 |
DOIs | |
Publication status | Published - 1 Jul 2016 |
Keywords
- 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