Hybrid control of Turing instability and bifurcation for spatial-temporal propagation of computer virus

ABSTRACT

In this era of information technology, information leakage and file corruption due to computer virus intrusion have been serious issues. How to detect and prevent the spread of the computer virus is the major challenge we are facing now. To target this problem, a class of virus propagation models with hybrid control scheme are formulated to investigate the dynamic evolution and prevention from a spatial-temporal perspective in this paper. Diffusion-induced Turing instability is detected in response to the computer virus propagation. The introduction of hybrid control scheme can effective suppress Turing instability and turn the propagation system back to a stable state. And then, the time delay is selected as the bifurcation parameter. If the time delay exceeds the bifurcation threshold, the propagation will be destabilised and a Hopf bifurcation will occur. The hybrid control tactic can not only regulate the occurrence of Hopf bifurcation well, but also optimise the properties of bifurcating period solutions. In the end, the correctness and validity of the theoretical results are verified via numerical simulations.

KEYWORDS:

• Computer virus propagation system
• hybrid control
• spatial diffusion
• time delays
• Turing instability
• Hopf bifurcation

Disclosure statement

No potential conflict of interest was reported by the author(s).

Data availability statement

No data was used for the research described in the article.

Additional information

Funding

This work is supported in part by the National Natural Science Foundation of China under Grant 62073172 and the Natural Science Foundation of Jiangsu Province of China under Grant BK20221329, and the Open Research Project of the State Key Laboratory of Industrial Control Technology of Zhejiang University under Grant ICT2022B43.