GLOBAL DYNAMICS OF A COMPUTER VIRUS PROPAGATION MODEL WITH FEEDBACK CONTROLS

Quang A Dang, Manh Tuan Hoang, Dinh Hung Tran
Author affiliations

Authors

  • Quang A Dang Institute of Information Technology, Vietnam Academy of Science and Technology (VAST)
  • Manh Tuan Hoang Center for Informatics and Computing, Vietnam Academy of Science and Technology (VAST)
  • Dinh Hung Tran

DOI:

https://doi.org/10.15625/1813-9663/36/4/15555

Keywords:

Global stability, Computer virus model, Lyapunov functions, Feedback controls, Numerical simulations

Abstract

A computer virus propagation model with feedback controls is first proposed and investigated. We show that the control variables do not influence on the global stability of the original differential model, they only alter the position of the unique viral equilibrium. The mathematical analyses and numerical simulations show that this equilibrium can be completely eliminated, namely, moved to the origin of coordinates if suitable values of the control variables are chosen. In the other words, the control variables are effective in the prevention of viruses in computer systems. Some numerical simulations are presented to demonstrate the validity of the obtained theoretical results.

 

 

 

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Published

14-12-2020

How to Cite

[1]
Q. A. Dang, M. T. Hoang, and D. H. Tran, “GLOBAL DYNAMICS OF A COMPUTER VIRUS PROPAGATION MODEL WITH FEEDBACK CONTROLS”, JCC, vol. 36, no. 4, p. 295–304, Dec. 2020.

Issue

Vol. 36 No. 4 (2020)

Section

Articles

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