Permanence and Extinction of a Generalized Gause-Type Predator-Prey System with Periodic Coefficients

Author

Luo, Jinhuo

Source

Abstract and Applied Analysis

Issue

Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-24, 24 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-01-27

Country of Publication

Egypt

No. of Pages

24

Main Subjects

Mathematics

Abstract EN

We study the permanence and extinction of a generalized Gause-type predator-prey system with periodic coefficients.

We provide a sufficient and necessary condition to guarantee the predator and prey species to be permanent and a sufficient condition for the existence of a periodic solution.

In addition we prove that when the predator population tends to extinction, the prey population keeps oscillating above a positive population level.

American Psychological Association (APA)

Luo, Jinhuo. 2011. Permanence and Extinction of a Generalized Gause-Type Predator-Prey System with Periodic Coefficients. Abstract and Applied Analysis،Vol. 2010, no. 2010, pp.1-24.
https://search.emarefa.net/detail/BIM-502810

Modern Language Association (MLA)

Luo, Jinhuo. Permanence and Extinction of a Generalized Gause-Type Predator-Prey System with Periodic Coefficients. Abstract and Applied Analysis No. 2010 (2010), pp.1-24.
https://search.emarefa.net/detail/BIM-502810

American Medical Association (AMA)

Luo, Jinhuo. Permanence and Extinction of a Generalized Gause-Type Predator-Prey System with Periodic Coefficients. Abstract and Applied Analysis. 2011. Vol. 2010, no. 2010, pp.1-24.
https://search.emarefa.net/detail/BIM-502810

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-502810