Dynamics of a Nonautonomous Leslie-Gower Type Food Chain Model with Delays

Joint Authors

Wang, Weiguo
Lu, Hongying

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-19, 19 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-03-27

Country of Publication

Egypt

No. of Pages

19

Main Subjects

Mathematics

Abstract EN

A nonautonomous Leslie-Gower type food chain model with time delays is investigated.

It is proved the general nonautonomous system is permanent and globally asymptotically stable under some appropriate conditions.

Furthermore, if the system is periodic one, some sufficient conditions are established, which guarantee the existence, uniqueness, and global asymptotic stability of a positive periodic solution of the system.

The conditions for the permanence, global stability of system, and the existence, uniqueness of positive periodic solution depend on delays; so, time delays are profitless.

American Psychological Association (APA)

Lu, Hongying& Wang, Weiguo. 2011. Dynamics of a Nonautonomous Leslie-Gower Type Food Chain Model with Delays. Discrete Dynamics in Nature and Society،Vol. 2011, no. 2011, pp.1-19.
https://search.emarefa.net/detail/BIM-467467

Modern Language Association (MLA)

Lu, Hongying& Wang, Weiguo. Dynamics of a Nonautonomous Leslie-Gower Type Food Chain Model with Delays. Discrete Dynamics in Nature and Society No. 2011 (2011), pp.1-19.
https://search.emarefa.net/detail/BIM-467467

American Medical Association (AMA)

Lu, Hongying& Wang, Weiguo. Dynamics of a Nonautonomous Leslie-Gower Type Food Chain Model with Delays. Discrete Dynamics in Nature and Society. 2011. Vol. 2011, no. 2011, pp.1-19.
https://search.emarefa.net/detail/BIM-467467

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-467467