![](/images/graphics-bg.png)
Delay Induced Hopf Bifurcation of an Epidemic Model with Graded Infection Rates for Internet Worms
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-12-24
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A delayed SEIQRS worm propagation model with different infection rates for the exposed computers and the infectious computers is investigated in this paper.
The results are given in terms of the local stability and Hopf bifurcation.
Sufficient conditions for the local stability and the existence of Hopf bifurcation are obtained by using eigenvalue method and choosing the delay as the bifurcation parameter.
In particular, the direction and the stability of the Hopf bifurcation are investigated by means of the normal form theory and center manifold theorem.
Finally, a numerical example is also presented to support the obtained theoretical results.
American Psychological Association (APA)
Zhao, Tao& Bi, Dianjie. 2017. Delay Induced Hopf Bifurcation of an Epidemic Model with Graded Infection Rates for Internet Worms. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1192732
Modern Language Association (MLA)
Zhao, Tao& Bi, Dianjie. Delay Induced Hopf Bifurcation of an Epidemic Model with Graded Infection Rates for Internet Worms. Mathematical Problems in Engineering No. 2017 (2017), pp.1-10.
https://search.emarefa.net/detail/BIM-1192732
American Medical Association (AMA)
Zhao, Tao& Bi, Dianjie. Delay Induced Hopf Bifurcation of an Epidemic Model with Graded Infection Rates for Internet Worms. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1192732
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1192732