Stability and Hopf Bifurcation of a Computer Virus Model with Infection Delay and Recovery Delay
Joint Authors
Wang, Qiaochu
Song, Haitao
Jiang, Weihua
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-20
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A computer virus model with infection delay and recovery delay is considered.
The sufficient conditions for the global stability of the virus infection equilibrium are established.
We show that the time delay can destabilize the virus infection equilibrium and give rise to Hopf bifurcations and stable periodic orbits.
By the normal form and center manifold theory, the direction of the Hopf bifurcation and stability of the bifurcating periodic orbits are determined.
Numerical simulations are provided to support our theoretical conclusions.
American Psychological Association (APA)
Song, Haitao& Wang, Qiaochu& Jiang, Weihua. 2014. Stability and Hopf Bifurcation of a Computer Virus Model with Infection Delay and Recovery Delay. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-508996
Modern Language Association (MLA)
Song, Haitao…[et al.]. Stability and Hopf Bifurcation of a Computer Virus Model with Infection Delay and Recovery Delay. Journal of Applied Mathematics No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-508996
American Medical Association (AMA)
Song, Haitao& Wang, Qiaochu& Jiang, Weihua. Stability and Hopf Bifurcation of a Computer Virus Model with Infection Delay and Recovery Delay. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-508996
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-508996