Stability and Hopf Bifurcation for a Delayed SLBRS Computer Virus Model

By incorporating the time delay due to the period that computers use antivirus software to clean the virus into the SLBRS model a delayed SLBRS computer virus model is proposed in this paper. The dynamical behaviors which include local stability and Hopf bifurcation are investigated by regarding the...

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Veröffentlicht in:TheScientificWorld 2014-01, Vol.2014 (2014), p.1-6
Hauptverfasser: Zhang, Zizhen, Yang, Huizhong
Format: Artikel
Sprache:eng
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Zusammenfassung:By incorporating the time delay due to the period that computers use antivirus software to clean the virus into the SLBRS model a delayed SLBRS computer virus model is proposed in this paper. The dynamical behaviors which include local stability and Hopf bifurcation are investigated by regarding the delay as bifurcating parameter. Specially, direction and stability of the Hopf bifurcation are derived by applying the normal form method and center manifold theory. Finally, an illustrative example is also presented to testify our analytical results.
ISSN:2356-6140
1537-744X
1537-744X
DOI:10.1155/2014/373171