Abstract Many real-world networks have the ability to adapt themselves in response to the state of their nodes. This paper studies controlling disease spread on network with feedback mechanism, where the susceptible nodes are able to avoid contact with the infected ones by cutting their connections with probability when the density of infected nodes reaches a certain value in the network. Such feedback mechanism considers the networks' own adaptivity and the cost of immunization. The dynamical equations about immunization with feedback mechanism are solved and theoretical predictions are in agreement with the results of large scale simulations. It shows that when the lethality $\alpha$ increases, the prevalence decreases more greatly with the same immunization $g$. That is, with the same cost, a better controlling result can be obtained. This approach offers an effective and practical policy to control disease spread, and also may be relevant to other similar networks.
Received: 05 November 2006
Revised: 18 January 2007
Accepted manuscript online:
Fund: Project supported by the
National Natural Science Foundation of China (Grant No
10375022).
Cite this article:
Wang Li(王俐), Yan Jia-Ren(颜家壬), Zhang Jian-Guo(张建国), and Liu Zi-Ran(刘自然) Controlling disease spread on networks with feedback mechanism 2007 Chinese Physics 16 2498
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