Stability and Hopf Bifurcation of a Delayed Epidemic Model of Computer Virus with Impact of Antivirus Software
Joint Authors
Bi, Dianjie
Upadhyay, Ranjit Kumar
Wei, Ruibin
Zhang, Zizhen
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-11-04
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
In this paper, we investigate an SLBRS computer virus model with time delay and impact of antivirus software.
The proposed model considers the entering rates of all computers since every computer can enter or leave the Internet easily.
It has been observed that there is a stability switch and the system becomes unstable due to the effect of the time delay.
Conditions under which the system remains locally stable and Hopf bifurcation occurs are found.
Sufficient conditions for global stability of endemic equilibrium are derived by constructing a Lyapunov function.
Formulae for the direction, stability, and period of the bifurcating periodic solutions are conducted with the aid of the normal form theory and center manifold theorem.
Numerical simulations are carried out to analyze the effect of some of the parameters in the system on the dynamic behavior of the system.
American Psychological Association (APA)
Zhang, Zizhen& Upadhyay, Ranjit Kumar& Bi, Dianjie& Wei, Ruibin. 2018. Stability and Hopf Bifurcation of a Delayed Epidemic Model of Computer Virus with Impact of Antivirus Software. Discrete Dynamics in Nature and Society،Vol. 2018, no. 2018, pp.1-18.
https://search.emarefa.net/detail/BIM-1152842
Modern Language Association (MLA)
Zhang, Zizhen…[et al.]. Stability and Hopf Bifurcation of a Delayed Epidemic Model of Computer Virus with Impact of Antivirus Software. Discrete Dynamics in Nature and Society No. 2018 (2018), pp.1-18.
https://search.emarefa.net/detail/BIM-1152842
American Medical Association (AMA)
Zhang, Zizhen& Upadhyay, Ranjit Kumar& Bi, Dianjie& Wei, Ruibin. Stability and Hopf Bifurcation of a Delayed Epidemic Model of Computer Virus with Impact of Antivirus Software. Discrete Dynamics in Nature and Society. 2018. Vol. 2018, no. 2018, pp.1-18.
https://search.emarefa.net/detail/BIM-1152842
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152842