Bifurcation Analysis of a Delayed Worm Propagation Model with Saturated Incidence

Joint Authors

Wang, Yougang
Zhang, Zizhen
Guerrini, Luca

Source

Advances in Mathematical Physics

Issue

Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2018-05-15

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Physics

Abstract EN

This paper is concerned with a delayed SVEIR worm propagation model with saturated incidence.

The main objective is to investigate the effect of the time delay on the model.

Sufficient conditions for local stability of the positive equilibrium and existence of a Hopf bifurcation are obtained by choosing the time delay as the bifurcation parameter.

Particularly, explicit formulas determining direction of the Hopf bifurcation and stability of the bifurcating periodic solutions are derived by using the normal form theory and the center manifold theorem.

Numerical simulations for a set of parameter values are carried out to illustrate the analytical results.

American Psychological Association (APA)

Zhang, Zizhen& Wang, Yougang& Guerrini, Luca. 2018. Bifurcation Analysis of a Delayed Worm Propagation Model with Saturated Incidence. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1119275

Modern Language Association (MLA)

Zhang, Zizhen…[et al.]. Bifurcation Analysis of a Delayed Worm Propagation Model with Saturated Incidence. Advances in Mathematical Physics No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1119275

American Medical Association (AMA)

Zhang, Zizhen& Wang, Yougang& Guerrini, Luca. Bifurcation Analysis of a Delayed Worm Propagation Model with Saturated Incidence. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1119275

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1119275