Stability and Hopf Bifurcation in a Delayed SEIRS Worm Model in Computer Network

Joint Authors

Yang, Huizhong
Zhang, Zizhen

Source

Mathematical Problems in Engineering

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-11-20

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Civil Engineering

Abstract EN

A delayed SEIRS epidemic model with vertical transmission in computer network is considered.

Sufficient conditions for local stability of the positive equilibrium and existence of local Hopf bifurcation are obtained by analyzing distribution of the roots of the associated characteristic equation.

Furthermore, the direction of the local Hopf bifurcation and the stability of the bifurcating periodic solutions are determined by using the normal form theory and center manifold theorem.

Finally, a numerical example is presented to verify the theoretical analysis.

American Psychological Association (APA)

Zhang, Zizhen& Yang, Huizhong. 2013. Stability and Hopf Bifurcation in a Delayed SEIRS Worm Model in Computer Network. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1009029

Modern Language Association (MLA)

Zhang, Zizhen& Yang, Huizhong. Stability and Hopf Bifurcation in a Delayed SEIRS Worm Model in Computer Network. Mathematical Problems in Engineering No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-1009029

American Medical Association (AMA)

Zhang, Zizhen& Yang, Huizhong. Stability and Hopf Bifurcation in a Delayed SEIRS Worm Model in Computer Network. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1009029

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1009029