Dynamics of a Delay-Varying Computer Virus Propagation Model
Joint Authors
Dong, Yongquan
Zhang, Yongchang
Hao, Guosheng
Xu, Yonghong
Ren, Jianguo
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-22
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
By considering the varying latency period of computer virus, we propose a novel model for computer virus propagation in network.
Under this model, we give the threshold value determining whether or not the virus finally dies out, and study the local stability of the virus-free and virus equilibrium.
It is found that the model may undergo a Hopf bifurcation.
Next, we use different methods to prove the global asymptotic stability of the equilibria: the virus-free equilibrium by using the direct Lyapunov method and virus equilibrium by using a geometric approach.
Finally, some numerical examples are given to support our conclusions.
American Psychological Association (APA)
Ren, Jianguo& Xu, Yonghong& Zhang, Yongchang& Dong, Yongquan& Hao, Guosheng. 2012. Dynamics of a Delay-Varying Computer Virus Propagation Model. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-466792
Modern Language Association (MLA)
Ren, Jianguo…[et al.]. Dynamics of a Delay-Varying Computer Virus Propagation Model. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-466792
American Medical Association (AMA)
Ren, Jianguo& Xu, Yonghong& Zhang, Yongchang& Dong, Yongquan& Hao, Guosheng. Dynamics of a Delay-Varying Computer Virus Propagation Model. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-466792
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-466792