Stability analysis of a predator–prey model in wireless sensor network

Abstract

Limited availability of energy within the network motes in wireless sensor network became a critical issue; therefore, making a perfect use of energy is necessary. A widely employed energy-saving technique is to place motes in sleep mode, corresponding to low-power consumption as well as to reduce operational capabilities. In this paper, we propose a mathematical model based on predator–prey dynamics to analyse the impact of energy conservation in the context of worm attacks in such network. We analyse the system to obtain different equilibrium points and then found the conditions for their stability. Lastly, some numerical simulations are given to illustrate the analytical results.

Keywords:

• epidemic model
• worms
• wireless sensor network
• stability

2000 AMS Subject Classifications:

• Primary: 92D30
• Secondary: 34d23