Multi-hop network has received growing attention recently with the widely use of wireless network communication\ntechnology. At the same time, the security of multi-hop network is facing more serve challenges. Unfortunately,\nclassic techniques for computer virus spreading model cannot be applied to multi-hop network because of\nignoring dynamic topology of network. In this paper, classic susceptible-infected (SI) model, susceptible-infectedsusceptible\n(SIS) model and susceptible-infected-removed (SIR) model are applied to multi-hop network based on\nrandom way-point (RWP) model, and contact duration of virus is introduced. Virus spreading behaviors are\nexamined through contact duration of virus, communication radius of node, distribution density of node, and the\nnumber of initial infected nodes. Simulation results show that node mobility has significant effect on virus\nspreading behaviors. In particular, a special node speed that can lead network to appear the fastest-spreading virus\nphenomenon is found. The special speed is approximately equal to the ratio of communication radius of node to\ncontact duration of virus. Distribution density of node and the number of initial infected nodes almost do not affect\nthe special speed.
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