On the Nature of Bifurcation in a Ratio-Dependent Predator-Prey Model with Delays

Joint Authors

Xu, Changjin
Wu, Yusen

Source

Journal of Applied Mathematics

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-17, 17 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-06-20

Country of Publication

Egypt

No. of Pages

17

Main Subjects

Mathematics

Abstract EN

A ratio-dependent predator-prey model with two delays is investigated.

The conditions which ensure the local stability and the existence of Hopf bifurcation at the positive equilibrium of the system are obtained.

It shows that the two different time delays have different effects on the dynamical behavior of the system.

An example together with its numerical simulations shows the feasibility of the main results.

Finally, main conclusions are included.

American Psychological Association (APA)

Xu, Changjin& Wu, Yusen. 2013. On the Nature of Bifurcation in a Ratio-Dependent Predator-Prey Model with Delays. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-17.
https://search.emarefa.net/detail/BIM-489895

Modern Language Association (MLA)

Xu, Changjin& Wu, Yusen. On the Nature of Bifurcation in a Ratio-Dependent Predator-Prey Model with Delays. Journal of Applied Mathematics No. 2013 (2013), pp.1-17.
https://search.emarefa.net/detail/BIM-489895

American Medical Association (AMA)

Xu, Changjin& Wu, Yusen. On the Nature of Bifurcation in a Ratio-Dependent Predator-Prey Model with Delays. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-17.
https://search.emarefa.net/detail/BIM-489895

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-489895