Dynamics of a Worm Propagation Model with Quarantine in Wireless Sensor Networks

Abstract

We study the attacking behavior of possible worms inWireless Sensor Network (WSNs). Using epidemic theory, we propose a susceptible-infectious-quarantine-recovered (SIQR)model to describe dynamics of worms propagation with quarantine in the wireless sensor network. Mathematical analysis shows that dynamics of the spread of worms are determined by the threshold R₀. If R₀ ≤ 1, the worm-free equilibrium is globally asymptotically stable, and if R₀ > 1, the worm-endemic equilibrium is globally asymptotically stable. Lyapunov functional method as well as geometric approach are used for proving the global stability of equilibria. A numerical investigation is carried out to confirm the analytical results. As a result of parameter analysis, some effective strategies for eliminating worms are suggested.