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Based on a general dynamical model for disaster spreading, in different network structures, i.e. in Erdos-Renyi network, scale-free network and small world network, the influences of network centrality on the speed and trend of disaster spreading are analyzed by simulation. By changing the initial spreading condition, the influence of initial state on the spreading efficiency is analyzed. In this paper the differences between final disaster spreading state are mainly discussed based on four initial vertex-choosing strategies. For the four strategies, it is shown that there are apparent differences. Complex network has a strong ability to resist random attacks but is is fragile to resist intentional attacks. However, the three networks show different degrees of fragility. And then, the theoretical analysis results are verified in an actual network.
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Keywords:
- complex network /
- disaster spreading /
- network centrality
[1] Watts D J, Strogatz S H 1998 Nature 440 442
[2] Barabasi A L, Albert R 1999 Science 509 512
[3] Albert R, Barabasi A L 2002 Rev. Mod. Phys. 74 47
[4] Steven H, Strogatz 2001 Nature 410 268
[5] Bianconi G, Barabasi A L 2001 Phys. Rev. Lett. 86 5635
[6] Valentini L, Perugini D, Poli G 2007 Physica A 377 323
[7] Lambiotte R, Blonel V D, de Kerchove C, Huens E, Prieur C, Smoreda Z, Dooren P V 2008 arXiv:0802.2178
[8] Drossel B, McKane A 2003 Handbook of Graphs and Networks (Berlin: Jclin Wiley and Sons)
[9] Beggs J M, Plenz D 2003 Journal of Neuroscience 23 11167
[10] Buzna L, Peters K, Helbing D 2006 Physica. A 363 132
[11] Goyal S 2007 Connections: An Introduction to the Economics of Networks (Princeton: Princeton University)
[12] Ormerod P, Roach A P 2004 Physica A 339 645
[13] Helbing D, Kuhnert C 2003 Physica A 328 584
[14] Weng W G, Ni S J, Shen S F, Yuan H Y 2007 Acta Phys. Sin. 55 1943 (in Chinese) [翁文国, 倪顺江, 申世飞, 袁宏永 2007 55 1938]
[15] Zhang Z W, Tan X, Ouyang M 2011 J. Mat. Pra. Theo. 75 84 (in Chinese) [张振文, 谭欣, 欧阳敏 2011 数学的实践与认识 75 84]
[16] Ouyang M, Fei Q, Yu M H 2008 Acta Phys. Sin. 56 6763 (in Chinese) [欧阳敏, 费奇, 余明晖 2008 56 6763]
[17] Buzna L, Peters K, Hendrik A 2007 Phys. Rev. 107 114
[18] David M P, Gary W F 2002 PNAS 4(3) 5211
[19] He D R, Liu Z H, Wang B H 2008 Complex Systems and Complex Networks (Beijing: Higher Education Press) (in Chinese) [何大韧, 刘宗华, 汪秉宏 2008 复杂系统与复杂网络 (北京: 高等教育出版社)]
[20] Chen G L 2008 Adva. Mech. 6 53 [陈光荣2008力学进展 653 662]
[21] Pan Q D 2011 Ph. D. Dissertation (Beijing: China University of Mining and Technology) (in Chinese) [潘启东 2011 博士学位论文 (北京: 中国矿业大学)]
[22] Barabasi A L 2003 Linked: How Everything Is Connected to Everything Else and What it Means (New York: The Penguin Group)
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[1] Watts D J, Strogatz S H 1998 Nature 440 442
[2] Barabasi A L, Albert R 1999 Science 509 512
[3] Albert R, Barabasi A L 2002 Rev. Mod. Phys. 74 47
[4] Steven H, Strogatz 2001 Nature 410 268
[5] Bianconi G, Barabasi A L 2001 Phys. Rev. Lett. 86 5635
[6] Valentini L, Perugini D, Poli G 2007 Physica A 377 323
[7] Lambiotte R, Blonel V D, de Kerchove C, Huens E, Prieur C, Smoreda Z, Dooren P V 2008 arXiv:0802.2178
[8] Drossel B, McKane A 2003 Handbook of Graphs and Networks (Berlin: Jclin Wiley and Sons)
[9] Beggs J M, Plenz D 2003 Journal of Neuroscience 23 11167
[10] Buzna L, Peters K, Helbing D 2006 Physica. A 363 132
[11] Goyal S 2007 Connections: An Introduction to the Economics of Networks (Princeton: Princeton University)
[12] Ormerod P, Roach A P 2004 Physica A 339 645
[13] Helbing D, Kuhnert C 2003 Physica A 328 584
[14] Weng W G, Ni S J, Shen S F, Yuan H Y 2007 Acta Phys. Sin. 55 1943 (in Chinese) [翁文国, 倪顺江, 申世飞, 袁宏永 2007 55 1938]
[15] Zhang Z W, Tan X, Ouyang M 2011 J. Mat. Pra. Theo. 75 84 (in Chinese) [张振文, 谭欣, 欧阳敏 2011 数学的实践与认识 75 84]
[16] Ouyang M, Fei Q, Yu M H 2008 Acta Phys. Sin. 56 6763 (in Chinese) [欧阳敏, 费奇, 余明晖 2008 56 6763]
[17] Buzna L, Peters K, Hendrik A 2007 Phys. Rev. 107 114
[18] David M P, Gary W F 2002 PNAS 4(3) 5211
[19] He D R, Liu Z H, Wang B H 2008 Complex Systems and Complex Networks (Beijing: Higher Education Press) (in Chinese) [何大韧, 刘宗华, 汪秉宏 2008 复杂系统与复杂网络 (北京: 高等教育出版社)]
[20] Chen G L 2008 Adva. Mech. 6 53 [陈光荣2008力学进展 653 662]
[21] Pan Q D 2011 Ph. D. Dissertation (Beijing: China University of Mining and Technology) (in Chinese) [潘启东 2011 博士学位论文 (北京: 中国矿业大学)]
[22] Barabasi A L 2003 Linked: How Everything Is Connected to Everything Else and What it Means (New York: The Penguin Group)
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