Controlling disease spread on networks with feedback mechanism |
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| Authors: | Wang Li Yan Jia-Ren Zhang Jian-Guo and Liu Zi-Ran |
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| Affiliation: | Department of Physics, Hunan Normal University, Changsha 410081, China |
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| 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. |
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| Keywords: | complex network systems disease spread feedback mechanism |
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