Persistence and Stability for a Generalized Leslie-Gower Model with Stage Structure and Dispersal

Joint Authors

Ma, Zhan-Ping
Huo, Hai-Feng
Liu, Chun-Ying

Source

Abstract and Applied Analysis

Issue

Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-17, 17 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2009-07-19

Country of Publication

Egypt

No. of Pages

17

Main Subjects

Mathematics

Abstract EN

A generalized version of the Leslie-Gower predator-prey model that incorporates the prey structure and predator dispersal in two-patch environments is introduced.

The focus is on the study of the boundedness of solution, permanence, and extinction of the model.

Sufficient conditions for global asymptotic stability of the positive equilibrium are derived by constructing a Lyapunov functional.

Numerical simulations are also presented to illustrate our main results.

American Psychological Association (APA)

Huo, Hai-Feng& Ma, Zhan-Ping& Liu, Chun-Ying. 2009. Persistence and Stability for a Generalized Leslie-Gower Model with Stage Structure and Dispersal. Abstract and Applied Analysis،Vol. 2009, no. 2009, pp.1-17.
https://search.emarefa.net/detail/BIM-448516

Modern Language Association (MLA)

Huo, Hai-Feng…[et al.]. Persistence and Stability for a Generalized Leslie-Gower Model with Stage Structure and Dispersal. Abstract and Applied Analysis No. 2009 (2009), pp.1-17.
https://search.emarefa.net/detail/BIM-448516

American Medical Association (AMA)

Huo, Hai-Feng& Ma, Zhan-Ping& Liu, Chun-Ying. Persistence and Stability for a Generalized Leslie-Gower Model with Stage Structure and Dispersal. Abstract and Applied Analysis. 2009. Vol. 2009, no. 2009, pp.1-17.
https://search.emarefa.net/detail/BIM-448516

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-448516