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Directed Dynamic Small-World Network Model for Worm Epidemics in Mobile ad hoc Networks |
| ZHU Chen-Ping1,2**, WANG Li3, LIU Xiao-Ting1, YAN Zhi-Jun1 |
1College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016
2Kavli Institute for Theoretic Physics, Beijing 100093
3College of Science, PLA University of Science and Technology, Nanjing 210016 |
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ZHU Chen-Ping, WANG Li, LIU Xiao-Ting et al 2012 Chin. Phys. Lett. 29 010504 |
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Abstract We investigate the worm spreading process in mobile ad hoc networks with a susceptible-infected-recovered model on a two-dimensional plane. A medium access control mechanism operates within it, inhibiting transmission and relaying a message by using other nodes inside the node's transmitting circle during speaking. We measure the rewiring probability p with the transmitting range r and the average relative velocity v of the moving nodes, and map the problem into a directed dynamic small-world network. A new scaling relation for the recovered portion of the nodes reveals the effect caused by geometric distance, which has been ignored by previous models.
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05.65.+b
89.75.7a
89.75.+n
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Received: 17 October 2011
Published: 07 February 2012
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| [1] Colizza V, Banavar J R, Maritan A and Rinaldo A 2004 Phys. Rev. Lett. 92 198702 [2] Li G et al 2010 Phys. Rev. Lett. 104 018701 [3] Yang H et al 2010 Europhys. Lett. 89 58002 [4] Yang K Q et al 2008 Front. Phys. Chin. 3 105 [5] IETF Mobile Ad hoc Networks Working Group http:// www.ietf.org/html.charters/manet-charter.html [6] Wireless Ad Hoc Networks Bibliography http://w3.antd.nist.gov/wctg/manet/manet-bibliog.html [7] Gast M S 2005 802. 11 Wireless Networks 2nd edn (Sebastopol, CA: O'Reily) [8] Stalling W 2005 Wireless Communications Networks (Engleswood Cliffs, NJ: Prentice Hall) [9] Wang L, Zhu C P and Gu Z M 2008 Phys. Rev. E 78 066107 [10] Wang L, Zhu C P, Gu Z M and Li X T 2009 Front. Phys. Chin. 4 556 [11] Zhu C P et al 2004 Phys. Rev. Lett. 92 218702 [12] Pastor Satorras R and Vespignani A 2001 Phys. Rev. Lett. 86 3200 [13] Newman M E J, Forrest S and Balthrop J 2002 Phys. Rev. E 66 035101 [14] Kuperman M and Guillermo A 2001 Phys. Rev. Lett. 86 2909 [15] Onnela J P et al 2007 Proc. Nat. Acad. Sci. 104 7332 [16] Wang P, Gonzalez M C, Hidalgo C A and Barabasi A L 2009 Science 324 1071 [17] Nekovee M 2007 New J. Phys. 9 189 [18] Watts D J and Strogatz S H 1999 Nature 393 440 |
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