Persistence and Nonpersistence of a Predator Prey System with Stochastic Perturbation

Joint Authors

Li, Haixia
Li, Haihong
Jiang, Daqing
Cong, Fuzhong

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-04-03

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

We analyze a predator prey model with stochastic perturbation.

First, weshow that this system has a unique positive solution.

Then, we deduce conditions that the system is persistent in time average.

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

After that, conditions for the system going extinct in probability are established.

At last, numerical simulations are carried out to support our results.

American Psychological Association (APA)

Li, Haihong& Jiang, Daqing& Cong, Fuzhong& Li, Haixia. 2014. Persistence and Nonpersistence of a Predator Prey System with Stochastic Perturbation. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1033960

Modern Language Association (MLA)

Li, Haihong…[et al.]. Persistence and Nonpersistence of a Predator Prey System with Stochastic Perturbation. Abstract and Applied Analysis No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1033960

American Medical Association (AMA)

Li, Haihong& Jiang, Daqing& Cong, Fuzhong& Li, Haixia. Persistence and Nonpersistence of a Predator Prey System with Stochastic Perturbation. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1033960

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1033960