Stability and Hopf Bifurcation of a Predator-Prey Model with Distributed Delays and Competition Term

Author

Zheng, Lv-Zhou

Source

Mathematical Problems in Engineering

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-5, 5 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-04-27

Country of Publication

Egypt

No. of Pages

5

Main Subjects

Civil Engineering

Abstract EN

A class of predator-prey system with distributed delays and competition term is considered.

By considering the time delay as bifurcation parameter, we analyze the stability and the Hopf bifurcation of the predator-prey system.

According to the theorem of Hopf bifurcation, some sufficient conditions are obtained for the local stability of the positive equilibrium point.

American Psychological Association (APA)

Zheng, Lv-Zhou. 2014. Stability and Hopf Bifurcation of a Predator-Prey Model with Distributed Delays and Competition Term. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-471485

Modern Language Association (MLA)

Zheng, Lv-Zhou. Stability and Hopf Bifurcation of a Predator-Prey Model with Distributed Delays and Competition Term. Mathematical Problems in Engineering No. 2014 (2014), pp.1-5.
https://search.emarefa.net/detail/BIM-471485

American Medical Association (AMA)

Zheng, Lv-Zhou. Stability and Hopf Bifurcation of a Predator-Prey Model with Distributed Delays and Competition Term. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-471485

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-471485