![](/images/graphics-bg.png)
Stability and Hopf Bifurcation in a Computer Virus Model with Multistate Antivirus
Joint Authors
Liao, Xiaofeng
Li, Huaqing
Dong, Tao
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-17
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
By considering that people may immunize their computers with countermeasures in susceptible state, exposed state and using anti-virus software may take a period of time, a computer virus model with time delay based on an SEIR model is proposed.
We regard time delay as bifurcating parameter to study the dynamical behaviors which include local asymptotical stability and local Hopf bifurcation.
By analyzing the associated characteristic equation, Hopf bifurcation occurs when time delay passes through a sequence of critical value.
The linerized model and stability of the bifurcating periodic solutions are also derived by applying the normal form theory and the center manifold theorem.
Finally, an illustrative example is also given to support the theoretical results.
American Psychological Association (APA)
Dong, Tao& Liao, Xiaofeng& Li, Huaqing. 2012. Stability and Hopf Bifurcation in a Computer Virus Model with Multistate Antivirus. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-502559
Modern Language Association (MLA)
Dong, Tao…[et al.]. Stability and Hopf Bifurcation in a Computer Virus Model with Multistate Antivirus. Abstract and Applied Analysis No. 2012 (2012), pp.1-16.
https://search.emarefa.net/detail/BIM-502559
American Medical Association (AMA)
Dong, Tao& Liao, Xiaofeng& Li, Huaqing. Stability and Hopf Bifurcation in a Computer Virus Model with Multistate Antivirus. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-502559
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-502559