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

Authors

Nguyen Huu Khanh, Department of Mathematics, College of Natural Sciences, CanTho university, VietnamFollow

Author Country (or Countries)

Vietnam

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.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100513

Recommended Citation

Huu Khanh, Nguyen (2016) "Dynamics of a Worm Propagation Model with Quarantine in Wireless Sensor Networks," Applied Mathematics & Information Sciences: Vol. 10: Iss. 5, Article 13.
DOI: http://dx.doi.org/10.18576/amis/100513
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss5/13