Dynamic Modeling and Analysis of the Email Virus Propagation
Joint Authors
Jin, Zhen
Li, Yi-Hong
Pan, Jinxiao
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-23
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
A novel deterministic SEIS model for the transmission of email viruses in growing communication networks is formulated.
Interestingly, the model is different from classical SEIS models not only in the form, but also in the dynamical features.
We study the equilibria and their stability and analyse the bifurcation dynamics of the model.
In particular, we find that the virus-free equilibrium is locally asymptotically stable for any parameter values, which may attribute to the absence of the basic reproduction number.
It is shown that the model undergoes a saddle-node bifurcation and admits the bistable phenomenon.
Moreover, on the basis of the Lyapunov function, the domains of attraction of equilibria are estimated by solving an LMI optimization problem.
Based on the above theoretical results, some effective strategies are also provided to control the propagation of the email viruses.
Additionally, our results are confirmed by numerical simulations.
American Psychological Association (APA)
Li, Yi-Hong& Pan, Jinxiao& Jin, Zhen. 2012. Dynamic Modeling and Analysis of the Email Virus Propagation. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-474205
Modern Language Association (MLA)
Li, Yi-Hong…[et al.]. Dynamic Modeling and Analysis of the Email Virus Propagation. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-22.
https://search.emarefa.net/detail/BIM-474205
American Medical Association (AMA)
Li, Yi-Hong& Pan, Jinxiao& Jin, Zhen. Dynamic Modeling and Analysis of the Email Virus Propagation. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-474205
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-474205