Improved Model for the Stability Analysis of Wireless Sensor Network Against Malware Attacks

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Improved Model for the Stability Analysis of Wireless Sensor Network Against Malware Attacks Rudra Pratap Ojha1 · Pramod Kumar Srivastava2   · Goutam Sanyal3 · Nishu Gupta4

© Springer Science+Business Media, LLC, part of Springer Nature 2020

Abstract Ensuring security in a communication network is one of the underlying challenges of wireless sensor network due to critical operational constraints. Wireless sensor network (WSN) is an easy target of malware (worm, virus, malicious code, etc.) attacks due to weak security mechanism. Malware propagation outsets from a compromised sensor node and spreads in the whole WSN using wireless communication. Owing to epidemic nature of worm transmission in the network, it is essential to implement a defence mechanism against worm attacks. Motivated by malware quarantine, we propose an improved mathematical model which aggregates quarantine and vaccination techniques. We obtain the equilibrium points and other crucial parameters of the proposed model. We analyse the system stability under different conditions. Basic reproduction number determines whether malware is extinct in the system or not. It helps in the calculation of cutoff limit of the node density and communication radius. The impingement of various parameters in this model is analysed. The performance is observed to be significantly ameliorated than existing models and verified by extensive simulation results in terms of reducing the number of infectious nodes and decreasing the rate of malware propagation. Keywords  Basic reproduction number · Equilibrium point · Epidemic theory · Stability · Wireless sensor network

* Pramod Kumar Srivastava [email protected] Rudra Pratap Ojha [email protected] Goutam Sanyal [email protected] Nishu Gupta [email protected] 1

Galgotias University Uttar Pradesh, Greater Noida 201310, India

2

Department of Mathematics, Rajkiya Engineering College, Deogaon, Azamgarh 276201, India

3

G.L. Bajaj Institute of Technology and Management, Greater Noida 201310, India

4

Department of Electronics and Communication Engineering, Vaagdevi College of Engineering (Autonomous), Warangal, India



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R. P. Ojha et al.

1 Introduction A sensor senses an input or inputs from various sources and delivers an output in form of a signal which is further processed by the controller that is capable of interpreting the signal. Wireless sensor network (WSN) are distributed and infrastructure-less network to cooperatively transfer data within the framework of distributed coordination function. WSN integrates number of sensor nodes that are designed to observe various operational conditions including environmental factors such as humidity, pressure, vibration, temperature, position, sound [1] etc. In recent times, designing of WSN is seen as a prominent area of research. WSN is used in different real-time applications to perform various tasks such as gathering, processing and saving of the data, identifying the number of neighbouring nodes, tracking the vehicle,