Hopf Bifurcations and Oscillatory Patterns of a Homogeneous Reaction-Diffusion Singular Predator-Prey Model

Joint Authors

Bao, Zhenhua
Liu, He

Source

Abstract and Applied Analysis

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-09-25

Country of Publication

Egypt

No. of Pages

5

Main Subjects

Mathematics

Abstract EN

A kind of homogeneous reaction-diffusion singular predator-prey model with no-flux boundary condition is considered.

By using the abstract simplified Hopf bifurcation theorem due to Yi et al.

2009, we performed detailed Hopf bifurcation analysis of this particular pattern formation system.

These results suggest the existence of oscillatory patterns if the system parameters fall into certain parameter ranges.

And all these oscillatory patterns are proved to be unstable.

American Psychological Association (APA)

Bao, Zhenhua& Liu, He. 2013. Hopf Bifurcations and Oscillatory Patterns of a Homogeneous Reaction-Diffusion Singular Predator-Prey Model. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-480457

Modern Language Association (MLA)

Bao, Zhenhua& Liu, He. Hopf Bifurcations and Oscillatory Patterns of a Homogeneous Reaction-Diffusion Singular Predator-Prey Model. Abstract and Applied Analysis No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-480457

American Medical Association (AMA)

Bao, Zhenhua& Liu, He. Hopf Bifurcations and Oscillatory Patterns of a Homogeneous Reaction-Diffusion Singular Predator-Prey Model. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-480457

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-480457