Epidemic outbreak for an SIS model in multiplex networks with immunization.
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.
College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi 330022, PR China. Electronic address: wqingchu5@163.com.
Qingchu
Q
Wu
Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong.
Yijun
Y
Lou
College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi 330022, PR China.
Wenfang
W
Zhu
D003141:Communicable Diseases / Q000635:transmission*; D004196:Disease Outbreaks / Q000517:prevention & control*; D006801:Humans; D007114:Immunization; D008962:Models, Theoretical
Epidemic spreading; Immunization; Multiplex network; Threshold condition