Global stability of a delayed SIRS computer virus propagation model

Abstract

We propose a delayed SIRS computer virus propagation model. Applying monotone iterative techniques and Lyapunov functional techniques, we establish sufficient conditions for the global asymptotic stability of both virus-free and virus equilibria of the model.

Keywords:

• delay
• global asymptotic stability
• Lyapunov functional
• monotone iterative technique

2000 AMS Subject Classifications:

• 34K20
• 34K25
• 92D30

ACM Computing Classification System Code:

• G.1.9

Acknowledgements

The authors are greatly indebted to the Editor and anonymous referees for their valuable suggestions which improve the quality of the present paper.

Yoshiaki Muroya's research is partially supported by Scientific Research (c), No. 24540219 of Japan Society for the Promotion of Science.

Yoichi Enatsu's research is partially supported by JSPS Fellows, No. 257819 of Japan Society for the Promotion of Science.