JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (11): 107-114.

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Analysis of an epidemic model with information on overlay network

LIANG Lei, LIU Gui-rong*   

  1. School of Mathematical Sciences, Shanxi University, Taiyuan 030006, Shanxi, China
  • Received:2016-02-03 Online:2016-11-20 Published:2016-11-22

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Abstract: An SAIS model on overlay network is established. Using the Taylors formula and Matrix theory, the expression of the second threshold of infection strength is obtained. Furthermore, by comparing the numerical simulations and stochastic simulations it can be found that the dissemination of information inhibits the epidemic spreading, and the alertness of recovery increases the second epidemic threshold of infection strength, also effectively reduces the infection size.

Key words: overlay network, infection strength, information dissemination, threshold, SAIS model

CLC Number: 

  • O175
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