Stability and Bifurcation of a Computer Virus Propagation Model with Delay and Incomplete Antivirus Ability
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-09-30
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A new computer virus propagation model with delay and incomplete antivirus ability is formulated and its global dynamics is analyzed.
The existence and stability of the equilibria are investigated by resorting to the threshold value R 0 .
By analysis, it is found that the model may undergo a Hopf bifurcation induced by the delay.
Correspondingly, the critical value of the Hopf bifurcation is obtained.
Using Lyapunov functional approach, it is proved that, under suitable conditions, the unique virus-free equilibrium is globally asymptotically stable if R 0 < 1 , whereas the virus equilibrium is globally asymptotically stable if R 0 > 1 .
Numerical examples are presented to illustrate possible behavioral scenarios of the mode.
American Psychological Association (APA)
Ren, Jianguo& Xu, Yonghong. 2014. Stability and Bifurcation of a Computer Virus Propagation Model with Delay and Incomplete Antivirus Ability. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1044291
Modern Language Association (MLA)
Ren, Jianguo& Xu, Yonghong. Stability and Bifurcation of a Computer Virus Propagation Model with Delay and Incomplete Antivirus Ability. Mathematical Problems in Engineering No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1044291
American Medical Association (AMA)
Ren, Jianguo& Xu, Yonghong. Stability and Bifurcation of a Computer Virus Propagation Model with Delay and Incomplete Antivirus Ability. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1044291
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1044291