Bifurcation Analysis for an SEIRS-V Model with Delays on the Transmission of Worms in a Wireless Sensor Network
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-01-18
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Hopf bifurcation for an SEIRS-V model with delays on the transmission of worms in a wireless sensor network is investigated.
We focus on existence of the Hopf bifurcation by regarding the diverse delay as a bifurcation parameter.
The results show that propagation of worms in the wireless sensor network can be controlled when the delay is suitably small under some certain conditions.
Then, we study properties of the Hopf bifurcation by using the normal form theory and center manifold theorem.
Finally, we give a numerical example to support the theoretical results.
American Psychological Association (APA)
Zhang, Zizhen& Wang, Yougang. 2017. Bifurcation Analysis for an SEIRS-V Model with Delays on the Transmission of Worms in a Wireless Sensor Network. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-15.
https://search.emarefa.net/detail/BIM-1192837
Modern Language Association (MLA)
Zhang, Zizhen& Wang, Yougang. Bifurcation Analysis for an SEIRS-V Model with Delays on the Transmission of Worms in a Wireless Sensor Network. Mathematical Problems in Engineering No. 2017 (2017), pp.1-15.
https://search.emarefa.net/detail/BIM-1192837
American Medical Association (AMA)
Zhang, Zizhen& Wang, Yougang. Bifurcation Analysis for an SEIRS-V Model with Delays on the Transmission of Worms in a Wireless Sensor Network. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-15.
https://search.emarefa.net/detail/BIM-1192837
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1192837