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An adaptive network is a kind of co-evolutionary network in which the behaviors of nodes and the dynamics of the network affect each other. A susceptible-infected-susceptible epidemics spreading model in the adaptive network is proposed using cellular automata. Under different rewriting rules for avoiding the epidemic spreading, the changes in epidemic dynamics and the properties of the network statistic are investigated. The simulation results show that the introduction of rewiring can slow down the spreading speed of epidemic and suppress the infected scale of epidemic. The random rewiring rules make the properties of an original network with any topology tend to those of a random network. Furthermore, the proposed cellular automata model can clearly exhibit the phenomenon of bi-stability in epidemic dynamics.
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Keywords:
- adaptive networks /
- epidemic dynamics /
- network dynamics /
- cellular automata
[1] Schwartz I B, Shaw L B 2010 Physics 3 17
[2] Watts D J, Strogatz S H 1998 Nature 393 409
[3] [4] [5] Pastor-Satorras R, Vespignani A 2001 Phys. Rev. Lett. 86 3200
[6] [7] Gross T, D'lima C J D, Blasius B 2006 Phys. Rev. Lett. 96 208701
[8] Shaw L B, Schwartz I B 2008 Phys. Rev. E 77 066101
[9] [10] Risau-Gusman S, Zanette D H 2009 J. Theor. Biol. 257 52
[11] [12] Shaw L B, Schwartz I B 2010 Phys. Rev. E 81 046120
[13] [14] [15] Pastor-Satorras R, Vespignani A 2002 Phys. Rev. E 65 035108
[16] [17] Jin Z, Liu Q X, Mainul H 2007 Chin. Phys. 16 1267
[18] Liu Q X, Jin Z 2005 Chin. Phys. 14 1370
[19] [20] [21] White S H, der Rey A M, Sanchez G R 2007 Appl. Math. Comput. 186 193
[22] [23] Fuentes M A, Kuperman M N 1999 Physica A 267 471
[24] [25] Jin Z, Liu Q X 2006 Chin. Phys. 15 1248
[26] Smith D M D 2007 Ph. D. Dissertation (Oxford: University of Oxford)
[27] [28] Cunha R O, Silva A P, Loreiro A A F, Ruiz L B 2005 Proceedings of the 38th Annual Symposium on Simulation (Los Alamitos: IEEE) p323
[29] [30] [31] Zhang W Z, Yuan J, Yu Z, Xu Z X, Shan X M 2008 Acta Phys. Sin. 57 6896 (in Chinese) [张文铸、袁 坚、俞 哲、徐赞新、山秀明 2008 57 6896]
[32] [33] Song Y R, Jiang G P 2009 Acta Phys. Sin. 58 5911 (in Chinese) [宋玉蓉、蒋国平 2009 58 5911]
[34] [35] Song Y R, Jiang G P 2009 Complex Sciences (Berlin: Springer-Verlag) p487
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[1] Schwartz I B, Shaw L B 2010 Physics 3 17
[2] Watts D J, Strogatz S H 1998 Nature 393 409
[3] [4] [5] Pastor-Satorras R, Vespignani A 2001 Phys. Rev. Lett. 86 3200
[6] [7] Gross T, D'lima C J D, Blasius B 2006 Phys. Rev. Lett. 96 208701
[8] Shaw L B, Schwartz I B 2008 Phys. Rev. E 77 066101
[9] [10] Risau-Gusman S, Zanette D H 2009 J. Theor. Biol. 257 52
[11] [12] Shaw L B, Schwartz I B 2010 Phys. Rev. E 81 046120
[13] [14] [15] Pastor-Satorras R, Vespignani A 2002 Phys. Rev. E 65 035108
[16] [17] Jin Z, Liu Q X, Mainul H 2007 Chin. Phys. 16 1267
[18] Liu Q X, Jin Z 2005 Chin. Phys. 14 1370
[19] [20] [21] White S H, der Rey A M, Sanchez G R 2007 Appl. Math. Comput. 186 193
[22] [23] Fuentes M A, Kuperman M N 1999 Physica A 267 471
[24] [25] Jin Z, Liu Q X 2006 Chin. Phys. 15 1248
[26] Smith D M D 2007 Ph. D. Dissertation (Oxford: University of Oxford)
[27] [28] Cunha R O, Silva A P, Loreiro A A F, Ruiz L B 2005 Proceedings of the 38th Annual Symposium on Simulation (Los Alamitos: IEEE) p323
[29] [30] [31] Zhang W Z, Yuan J, Yu Z, Xu Z X, Shan X M 2008 Acta Phys. Sin. 57 6896 (in Chinese) [张文铸、袁 坚、俞 哲、徐赞新、山秀明 2008 57 6896]
[32] [33] Song Y R, Jiang G P 2009 Acta Phys. Sin. 58 5911 (in Chinese) [宋玉蓉、蒋国平 2009 58 5911]
[34] [35] Song Y R, Jiang G P 2009 Complex Sciences (Berlin: Springer-Verlag) p487
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