Hopf Bifurcation in a Delayed SEIQRS Model for the Transmission of Malicious Objects in Computer Network

Author

Liu, Juan

Source

Journal of Applied Mathematics

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-03-23

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

A delayed SEIQRS model for the transmission of malicious objects in computer network is considered in this paper.

Local stability of the positive equilibrium of the model and existence of local Hopf bifurcation are investigated by regarding the time delay due to the temporary immunity period after which a recovered computer may be infected again.

Further, the properties of the Hopf bifurcation are studied by using the normal form method and center manifold theorem.

Numerical simulations are also presented to support the theoretical results.

American Psychological Association (APA)

Liu, Juan. 2014. Hopf Bifurcation in a Delayed SEIQRS Model for the Transmission of Malicious Objects in Computer Network. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-475939

Modern Language Association (MLA)

Liu, Juan. Hopf Bifurcation in a Delayed SEIQRS Model for the Transmission of Malicious Objects in Computer Network. Journal of Applied Mathematics No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-475939

American Medical Association (AMA)

Liu, Juan. Hopf Bifurcation in a Delayed SEIQRS Model for the Transmission of Malicious Objects in Computer Network. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-475939

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-475939