Qualitative Analysis for a Predator Prey System with Holling Type III Functional Response and Prey Refuge

Joint Authors

Xing, Yepeng
Liu, Xia

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-12-05

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Mathematics

Abstract EN

A predator prey system with Holling III functional response and constant prey refuge is considered.

By using the Dulac criterion, we discuss the global stability of the positive equilibrium of the system.

By transforming the system to a Liénard system, the conditions for the existence of exactly one limit cycle for the system are given.

Some numerical simulations are presented.

American Psychological Association (APA)

Liu, Xia& Xing, Yepeng. 2012. Qualitative Analysis for a Predator Prey System with Holling Type III Functional Response and Prey Refuge. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-489810

Modern Language Association (MLA)

Liu, Xia& Xing, Yepeng. Qualitative Analysis for a Predator Prey System with Holling Type III Functional Response and Prey Refuge. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-489810

American Medical Association (AMA)

Liu, Xia& Xing, Yepeng. Qualitative Analysis for a Predator Prey System with Holling Type III Functional Response and Prey Refuge. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-489810

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-489810