Hopf Bifurcation of an Improved SLBS Model under the Influence of Latent Period
Joint Authors
Zhao, Yun
Yang, Luxing
Xiao, Jing
Zhang, Chunming
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-20
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A model applicable to describe the propagation of computer virus is developed and studied, along with the latent time incorporated.
We regard time delay as a bifurcating parameter to study the dynamical behaviors including local asymptotical stability and local Hopf bifurcation.
By analyzing the associated characteristic equation, Hopf bifurcation occurs when the time delay passes through a sequence of critical values.
A formula for determining the direction of the Hopf bifurcation and the stability of bifurcating periodic solutions is given by using the normal form method and center manifold theorem.
Finally, illustrative examples are given to support the theoretical results.
American Psychological Association (APA)
Zhang, Chunming& Yang, Luxing& Xiao, Jing& Zhao, Yun. 2013. Hopf Bifurcation of an Improved SLBS Model under the Influence of Latent Period. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1031730
Modern Language Association (MLA)
Zhang, Chunming…[et al.]. Hopf Bifurcation of an Improved SLBS Model under the Influence of Latent Period. Mathematical Problems in Engineering No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-1031730
American Medical Association (AMA)
Zhang, Chunming& Yang, Luxing& Xiao, Jing& Zhao, Yun. Hopf Bifurcation of an Improved SLBS Model under the Influence of Latent Period. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1031730
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1031730