Hopf Bifurcation of an SIQR Computer Virus Model with Time Delay

Joint Authors

Yang, Huizhong
Zhang, Zizhen

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2015-01-15

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Zhang, Zizhen& Yang, Huizhong. 2015. Hopf Bifurcation of an SIQR Computer Virus Model with Time Delay. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1060368

Modern Language Association (MLA)

Zhang, Zizhen& Yang, Huizhong. Hopf Bifurcation of an SIQR Computer Virus Model with Time Delay. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1060368

American Medical Association (AMA)

Zhang, Zizhen& Yang, Huizhong. Hopf Bifurcation of an SIQR Computer Virus Model with Time Delay. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1060368

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1060368