A Lyapunov Function and Global Stability for a Class of Predator-Prey Models

Xiaoqin Wang; Huihai Ma

doi:10.1155/2012/218785

Discrete Dynamics in Nature and Society (Jan 2012)

A Lyapunov Function and Global Stability for a Class of Predator-Prey Models

Xiaoqin Wang,
Huihai Ma

Affiliations

Xiaoqin Wang: Faculty of Science, Shaanxi University of Science and Technology, Xi'an 710021, China
Huihai Ma: College of Electrical and Information Engineering, Shaanxi University of Science and Technology, Xi'an 710021, China

DOI: https://doi.org/10.1155/2012/218785
Journal volume & issue: Vol. 2012

Abstract

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We construct a new Lyapunov function for a class of predation models. Global stability of the positive equilibrium states of these systems can be established when the Lyapunov function is used.

Published in Discrete Dynamics in Nature and Society

ISSN: 1026-0226 (Print); 1607-887X (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/3059

About the journal