无线传感器网络中n蠕虫传播模型

n-worm propagation model in wireless sensor networks

无线传感网络(WSN)在军用与民用上均具有广泛应用。现有的蠕虫传播模型大多是应用于因特网且大多是基于单蠕虫、双蠕虫模型。为了更有效地捕捉蠕虫在无线传感器网络中的传播行为,给出一个n类蠕虫交互模型来刻画蠕虫在无线传感网络中的传播特性。运用传染病动力学的相关理论和方法,对该模型进入无病平衡状态的充分条件进行推导,仿真结果证明了该理论结果的正确性。仿真与理论结果均表明,当该条件满足时,模型在无病平衡点是稳定的,蠕虫最终将被清除;当该条件不满足时,模型在无病平衡点是不稳定的,最终蠕虫一定会存在于网络中。

Wireless Sensor Network（ WSN） has been used widely in civil and military applications. Existing worm propagation models are mostly used in the Internet,and most of them are based on one-worm model and two-worm model. In order to effectively caputre the behavior of worms in WSN,this paper proposed a n-worm propagation model to depict the characteristics of worm propagation in WSN. By using the relevant methods and theories of epidemic dynamics,the sufficient condition of the worm free equilibrium was deduced. Simulation proved the correction of theoretical calculation. The analytical and simulated results show that when the condition is met,the presented model is stable at its worm-free equilibrium where worms finally gets eliminated,and when the condition isn＇t met,the presented model is unstable at its worm-free equilibrium where worms finally exists in the networks.