Stability and Bifurcation Analysis of a Modified Epidemic Model for Computer Viruses
Joint Authors
Huang, Tingwen
Hu, Wenfeng
Li, Chuandong
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-05
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We extend the three-dimensional SIR model to four-dimensional case and then analyze its dynamical behavior including stability and bifurcation.
It is shown that the new model makes a significant improvement to the epidemic model for computer viruses, which is more reasonable than the most existing SIR models.
Furthermore, we investigate the stability of the possible equilibrium point and the existence of the Hopf bifurcation with respect to the delay.
By analyzing the associated characteristic equation, it is found that Hopf bifurcation occurs when the delay passes through a sequence of critical values.
An analytical condition for determining the direction, stability, and other properties of bifurcating periodic solutions is obtained by using the normal form theory and center manifold argument.
The obtained results may provide a theoretical foundation to understand the spread of computer viruses and then to minimize virus risks.
American Psychological Association (APA)
Li, Chuandong& Hu, Wenfeng& Huang, Tingwen. 2014. Stability and Bifurcation Analysis of a Modified Epidemic Model for Computer Viruses. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-497844
Modern Language Association (MLA)
Li, Chuandong…[et al.]. Stability and Bifurcation Analysis of a Modified Epidemic Model for Computer Viruses. Mathematical Problems in Engineering No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-497844
American Medical Association (AMA)
Li, Chuandong& Hu, Wenfeng& Huang, Tingwen. Stability and Bifurcation Analysis of a Modified Epidemic Model for Computer Viruses. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-497844
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-497844