Discrete Dynamics in Nature and Society
Volume 2005 (2005), Issue 2, Pages 135-144
doi:10.1155/DDNS.2005.135

Permanence and global stability of positive solutions of a nonautonomous discrete ratio-dependent predator-prey model

Abstract

We first give sufficient conditions for the permanence of nonautonomous discrete ratio-dependent predator-prey model. By linearization of the model at positive solutions and construction of Lyapunov function, we also obtain some conditions which ensure that a positive solution of the model is stable and attracts all positive solutions.