Global Stability for a Predator-Prey Model with Dispersal among Patches

Joint Authors

Gao, Yang
Liu, Shengqiang

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-03-12

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Mathematics

Abstract EN

We investigate a predator-prey model with dispersal for both predator and prey among n patches; our main purpose is to extend the global stability criteria by Li and Shuai (2010) on a predator-prey model with dispersal for prey among n patches.

By using the method of constructing Lyapunov functions based on graph-theoretical approach for coupled systems, we derive sufficient conditions under which the positive coexistence equilibrium of this model is unique and globally asymptotically stable if it exists.

American Psychological Association (APA)

Gao, Yang& Liu, Shengqiang. 2014. Global Stability for a Predator-Prey Model with Dispersal among Patches. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1013419

Modern Language Association (MLA)

Gao, Yang& Liu, Shengqiang. Global Stability for a Predator-Prey Model with Dispersal among Patches. Abstract and Applied Analysis No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1013419

American Medical Association (AMA)

Gao, Yang& Liu, Shengqiang. Global Stability for a Predator-Prey Model with Dispersal among Patches. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1013419

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1013419