Stability and Hopf Bifurcation in a Delayed SEIRS Worm Model in Computer Network
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-20
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A delayed SEIRS epidemic model with vertical transmission in computer network is considered.
Sufficient conditions for local stability of the positive equilibrium and existence of local Hopf bifurcation are obtained by analyzing distribution of the roots of the associated characteristic equation.
Furthermore, the direction of the local Hopf bifurcation and the stability of the bifurcating periodic solutions are determined by using the normal form theory and center manifold theorem.
Finally, a numerical example is presented to verify the theoretical analysis.
American Psychological Association (APA)
Zhang, Zizhen& Yang, Huizhong. 2013. Stability and Hopf Bifurcation in a Delayed SEIRS Worm Model in Computer Network. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1009029
Modern Language Association (MLA)
Zhang, Zizhen& Yang, Huizhong. Stability and Hopf Bifurcation in a Delayed SEIRS Worm Model in Computer Network. Mathematical Problems in Engineering No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-1009029
American Medical Association (AMA)
Zhang, Zizhen& Yang, Huizhong. Stability and Hopf Bifurcation in a Delayed SEIRS Worm Model in Computer Network. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1009029
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1009029