Abstract and Applied Analysis

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

Yang Gao and Shengqiang Liu

Full-text: Open access

Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 176493, 6 pages.

Dates
First available in Project Euclid: 6 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412607554

Digital Object Identifier
doi:10.1155/2014/176493

Mathematical Reviews number (MathSciNet)
MR3182269

Zentralblatt MATH identifier
07021873

Citation

Gao, Yang; Liu, Shengqiang. Global Stability for a Predator-Prey Model with Dispersal among Patches. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 176493, 6 pages. doi:10.1155/2014/176493. https://projecteuclid.org/euclid.aaa/1412607554


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