Hopf Bifurcation of Delayed Computer Virus Propagation Model

doi:10.3969/j.issn.1006-2475.2016.11.014

Abstract

Abstract: Considering that anti-virus software needs a period to clean viruses and there is a temporary immunity for the recovered computers, a delayed computer virus propagation model based on the SIQR computer virus propagation model is proposed. Sufficient conditions for local stability of the positive equilibrium and occurrence of a Hopf bifurcation are obtained by regarding the delay as a bifurcation parameter and analyzing the distribution of the roots of the associated characteristic equation. Finally, a numerical simulation example is carried out to support the theoretical predictions. 

Key words: delay, Hopf bifurcation, SIQRS model, stability

CLC Number:

TP309.5

SONG Lei1, WANG Chun-lei2. Hopf Bifurcation of Delayed Computer Virus Propagation Model[J]. Computer and Modernization, doi: 10.3969/j.issn.1006-2475.2016.11.014.

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