Stability and Hopf Bifurcation Analysis for a Computer Virus Propagation Model with Two Delays and Vaccination
Joint Authors
Bi, Dianjie
Wang, Yougang
Zhang, Zizhen
Guerrini, Luca
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-03-20
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
A further generalization of an SEIQRS-V (susceptible-exposed-infectious-quarantined-recovered-susceptible with vaccination) computer virus propagation model is the main topic of the present paper.
This paper specifically analyzes effects on the asymptotic dynamics of the computer virus propagation model when two time delays are introduced.
Sufficient conditions for the asymptotic stability and existence of the Hopf bifurcation are established by regarding different combination of the two delays as the bifurcation parameter.
Moreover, explicit formulas that determine the stability, direction, and period of the bifurcating periodic solutions are obtained with the help of the normal form theory and center manifold theorem.
Finally, numerical simulations are employed for supporting the obtained analytical results.
American Psychological Association (APA)
Zhang, Zizhen& Wang, Yougang& Bi, Dianjie& Guerrini, Luca. 2017. Stability and Hopf Bifurcation Analysis for a Computer Virus Propagation Model with Two Delays and Vaccination. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-17.
https://search.emarefa.net/detail/BIM-1151319
Modern Language Association (MLA)
Zhang, Zizhen…[et al.]. Stability and Hopf Bifurcation Analysis for a Computer Virus Propagation Model with Two Delays and Vaccination. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-17.
https://search.emarefa.net/detail/BIM-1151319
American Medical Association (AMA)
Zhang, Zizhen& Wang, Yougang& Bi, Dianjie& Guerrini, Luca. Stability and Hopf Bifurcation Analysis for a Computer Virus Propagation Model with Two Delays and Vaccination. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-17.
https://search.emarefa.net/detail/BIM-1151319
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1151319