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Mathematical model on the transmission of worms in wireless sensor network

机译：无线传感器网络中蠕虫传播的数学模型

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摘要

Wireless sensor networks (WSNs) have received extensive attention due to their great potential in civil and military applications. The sensor nodes have limited power and radio communication capabilities. As sensor nodes are resource constrained, they generally have weak defense capabilities and are attractive targets for software attacks. Cyber attack by worm presents one of the most dangerous threats to the security and integrity of the computer and WSN. In this paper, we study the attacking behavior of possible worms in WSN. Using compartmental epidemic model, we propose susceptible - exposed - infectious -recovered - susceptible with a vaccination compartment (SEIRS-V) to describe the dynamics of worm propagation with respect to time in WSN. The proposed model captures both the spatial and temporal dynamics of worms spread process. Reproduction number, equilibria, and their stability are also found. If reproduction number is less than one, the infected fraction of the sensor nodes disappears and if the reproduction number is greater than one, the infected fraction persists and the feasible region is asymptotically stable region for the endemic equilibrium state. Numerical methods are employed to solve and simulate the systems of equations developed and also to validate our model. A critical analysis of vaccination class with respect to susceptible class and infectious class has been made for a positive impact of increasing security measures on worm propagation in WSN.
机译：无线传感器网络（WSN）由于其在民用和军事应用中的巨大潜力而​​受到广泛关注。传感器节点的电源和无线电通信功能有限。由于传感器节点受到资源的限制，它们通常具有较弱的防御能力，并且是进行软件攻击的诱人目标。蠕虫的网络攻击对计算机和WSN的安全性和完整性构成了最危险的威胁之一。在本文中，我们研究了WSN中可能蠕虫的攻击行为。我们使用隔间流行病模型，提出了易感性-暴露-传染性-康复-易感性与疫苗接种隔间（SEIRS-V），以描述WSN中蠕虫随时间传播的动态。该模型捕获了蠕虫传播过程的时空动态。还发现了繁殖数量，平衡及其稳定性。如果复制数小于1，则传感器节点的感染分数消失，如果复制数大于1，则感染分数持续存在，并且对于地方性平衡状态，可行区域是渐近稳定区域。数值方法被用来求解和模拟所开发的方程组，并验证我们的模型。针对易感性和传染性类别，对疫苗接种类别进行了严格分析，以提高安全措施对WSN中蠕虫传播的积极影响。

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