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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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Cite this article: |
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
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Received: 17 October 2011
Published: 07 February 2012
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