Chin. Phys. B ›› 2013, Vol. 22 ›› Issue (4): 40205-040205.doi: 10.1088/1674-1056/22/4/040205

• GENERAL • 上一篇    下一篇

Epidemic propagation on adaptive coevolutionary networks with preferential local-world reconnecting strategy

宋玉蓉, 蒋国平, 巩永旺   

  1. College of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210003, China
  • 收稿日期:2012-07-29 修回日期:2012-10-15 出版日期:2013-03-01 发布日期:2013-03-01
  • 基金资助:
    Project supported by the Natural Science Foundation of Jiangsu Province, China (Grant No. BK2010526), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20103223110003), and the Ministry of Education Research in the Humanities and Social Sciences Planning Fund (Grant No. 12YJAZH120).

Epidemic propagation on adaptive coevolutionary networks with preferential local-world reconnecting strategy

Song Yu-Rong (宋玉蓉), Jiang Guo-Ping (蒋国平), Gong Yong-Wang (巩永旺)   

  1. College of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210003, China
  • Received:2012-07-29 Revised:2012-10-15 Online:2013-03-01 Published:2013-03-01
  • Contact: Song Yu-Rong E-mail:songyr@njupt.edu.cn
  • Supported by:
    Project supported by the Natural Science Foundation of Jiangsu Province, China (Grant No. BK2010526), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20103223110003), and the Ministry of Education Research in the Humanities and Social Sciences Planning Fund (Grant No. 12YJAZH120).

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摘要： In the propagation of epidemic in population, individuals adaptively adjust their behaviors to avoid the risk of epidemic. Different from the existing studies where new links are established randomly, a local link is established preferentially in this paper. We propose a new preferentially reconnecting edge strategy depending on spatial distance (PR-SD). For the PR-SD strategy, the new link is established at random with probability p and in a shortest distance with the probability 1-p. We establish the epidemic model on adaptive network using Cellular Automata, and demonstrate the effectiveness of the proposed model by numerical simulations. The results show that the smaller the value of parameter p, the more difficult the epidemic spread is. The PR-SD strategy breaks long-range links and establishes short-range links as many as possible, which causes the network efficiency to decrease quickly and the propagation of epidemic is restrained effectively.

关键词: adaptive networks, epidemic dynamics, network dynamics, cellular automata, local-world reconnecting mechanism

Abstract: In the propagation of epidemic in population, individuals adaptively adjust their behaviors to avoid the risk of epidemic. Different from the existing studies where new links are established randomly, a local link is established preferentially in this paper. We propose a new preferentially reconnecting edge strategy depending on spatial distance (PR-SD). For the PR-SD strategy, the new link is established at random with probability p and in a shortest distance with the probability 1-p. We establish the epidemic model on adaptive network using Cellular Automata, and demonstrate the effectiveness of the proposed model by numerical simulations. The results show that the smaller the value of parameter p, the more difficult the epidemic spread is. The PR-SD strategy breaks long-range links and establishes short-range links as many as possible, which causes the network efficiency to decrease quickly and the propagation of epidemic is restrained effectively.

Key words: adaptive networks, epidemic dynamics, network dynamics, cellular automata, local-world reconnecting mechanism

中图分类号:  (Probability theory, stochastic processes, and statistics)

  • 02.50.-r
05.90.+m (Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems) 05.65.+b (Self-organized systems)