The Asymptotic Behavior of a Stochastic Predator-Prey System with Holling II Functional Response

Joint Authors

Liu, Zhenwen
Jiang, Daqing
Shi, Ningzhong
Ji, Chunyan

Source

Abstract and Applied Analysis

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-12-31

Country of Publication

Egypt

No. of Pages

14

Main Subjects

Mathematics

Abstract EN

We discuss a stochastic predator-prey system with Holling II functional response.

First, we show that this system has a unique positive solution as this is essential in any population dynamics model.

Then, we deduce the conditions that there is a stationary distribution of the system, which implies that the system is permanent.

At last, we give the conditions for the system that is going to be extinct.

American Psychological Association (APA)

Liu, Zhenwen& Shi, Ningzhong& Jiang, Daqing& Ji, Chunyan. 2012. The Asymptotic Behavior of a Stochastic Predator-Prey System with Holling II Functional Response. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-499164

Modern Language Association (MLA)

Liu, Zhenwen…[et al.]. The Asymptotic Behavior of a Stochastic Predator-Prey System with Holling II Functional Response. Abstract and Applied Analysis No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-499164

American Medical Association (AMA)

Liu, Zhenwen& Shi, Ningzhong& Jiang, Daqing& Ji, Chunyan. The Asymptotic Behavior of a Stochastic Predator-Prey System with Holling II Functional Response. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-499164

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-499164