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

作　　者：宋玉蓉 蒋国平 巩永旺 

机构地区：[1]College of Automation, Nanjing University of Posts and Telecommunications

出　　处：《Chinese Physics B》2013年第4期63-69,共7页中国物理B（英文版）

基　　金：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);the Ministry of Education Research in the Humanities and Social Sciences Planning Fund (Grant No. 12YJAZH120)

摘　　要：In the propagation of an epidemic in a population, individuals adaptively adjust their behavior to avoid the risk of an epidemic. Differently from 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 an 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 as many short-range links as possible, which causes the network efficiency to decrease quickly and the propagation of the epidemic is restrained effectively.In the propagation of an epidemic in a population, individuals adaptively adjust their behavior to avoid the risk of an epidemic. Differently from 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 an 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 as many short-range links as possible, which causes the network efficiency to decrease quickly and the propagation of the epidemic is restrained effectively.

关 键 词：adaptive networks epidemic dynamics network dynamics cellular automata local-world reconnecting mechanism 

分 类 号：O157.5[理学—数学] R311[理学—基础数学]