Hopf Bifurcation of an SIQR Computer Virus Model with Time Delay. (15th January 2015)

• Record Type: Journal Article
• Authors: Zhang, Zizhen; Yang, Huizhong
• Other Names: Iqbal Muhammad Naveed Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2015(2015)
• Publication Date: 2015-01-15
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2015/101874
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : A delayed SIQR computer virus model is considered. It has been observed that there exists a critical value of delay for the stability of virus prevalence by choosing the delay as a bifurcation parameter. Furthermore, the properties of the Hopf bifurcation such as direction and stability are investigated by using the normal form method and center manifold theory. Finally, some numerical simulations for supporting our theoretical results are also performed.