Periodic solutions of a delayed model for propagation of malicious codes in WSNS with graded infection rate

Abstract

A delayed model for propagation of malicious codes in wireless sensor networks (WSNS) with graded infection rate is formulated in this article. The impact of the two time delays and existence of Hopf bifurcation are explored. Properties of periodic solutions arising through the Hopf bifurcation are studied. Finally, some numerical simulations are executed with the help of Matlab in order to account for the obtained theoretical results.

Keywords

• Delays
• Graded infection rate
• Hopf bifurcation
• Malicious codes
• Periodic solutions