Hopf Bifurcation Analysis for a Computer Virus Model with Two Delays
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-13
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
This paper is concerned with a computer virus model with two delays.
Its dynamics are studied in terms of local stability and Hopf bifurcation.
Sufficient conditions for local stability of the positive equilibrium and existence of the local Hopf bifurcation are obtained by regarding the possible combinations of the two delays as a bifurcation parameter.
Furthermore, explicit formulae for determining direction of the Hopf bifurcation and stability of the bifurcating periodic solutions are obtained by using the normal form method and center manifold theory.
Finally, some numerical simulations are presented to support the theoretical results.
American Psychological Association (APA)
Zhang, Zizhen& Yang, Huizhong. 2013. Hopf Bifurcation Analysis for a Computer Virus Model with Two Delays. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-18.
https://search.emarefa.net/detail/BIM-480808
Modern Language Association (MLA)
Zhang, Zizhen& Yang, Huizhong. Hopf Bifurcation Analysis for a Computer Virus Model with Two Delays. Abstract and Applied Analysis No. 2013 (2013), pp.1-18.
https://search.emarefa.net/detail/BIM-480808
American Medical Association (AMA)
Zhang, Zizhen& Yang, Huizhong. Hopf Bifurcation Analysis for a Computer Virus Model with Two Delays. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-18.
https://search.emarefa.net/detail/BIM-480808
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-480808