Hopf Bifurcation of an SIQR Computer Virus Model with Time Delay-Reference-Cited by-同舟云学术

Hopf Bifurcation of an SIQR Computer Virus Model with Time Delay

Published:2015 Issue: Volume:2015 Page:1-8
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Zhang Zizhen¹²^ORCID,Yang Huizhong²

Affiliation:

1. Anhui University of Finance and Economics, School of Management Science and Engineering, Caoshan Road 962, Bengbu 233030, China

2. Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi 214122, China

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.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2015/101874.pdf

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