Analysis of Epidemic Model for Performance Evaluation of Rechargeable Wireless Sensor Network

Abstract

Wireless sensor network (WSN) is a decentralized network system which consists of sensor nodes, and these nodes are connected through wireless link. Due to decentralized network system and resource constraint WSN faces security threat. Malware (malicious signals, worm, Trajan horse, virus etc.) attacks on the sensor node of WSN and make them paralyze and steal information from the network. Malware attack also increases the energy consumption of Sensor nodes of WSN. It just begins to spread from an infected node, and spread across the entire WSN with the help of neighboring nodes. Therefore, security of WSN against attack of malware is an inescapable need. On the basis of earlier works and consideration of charging mechanism of sensor nodes, and considering the effect of coverage and connectivity, proposed a SILRD (Susceptible - Infectious – Low Energy – Recovered –Dead) model with vital dynamics. The propose model investigates the dynamics of malware propagation in WSN and also explain sensor node’s energy consumption. The system’s stability has analyzed in terms of local and global of malware-free and endemic equilibrium. For the investigation of system dynamics, the expression of basic reproduction number has computed, which is also utilized to analyze state of malware in WSN. The effect of charging, coverage and connectivity is explained in this paper.
The proposed model provides a better mechanism to prevent transmission of malware in WSN in comparison to existing models, which is validated through mathematical calculation as well as simulation results