Discrete Dynamics in Nature and Society
Volume 2009 (2009), Article ID 732510, 16 pages
doi:10.1155/2009/732510

Permanence and global attractivity of a discrete two-prey one-predator model with infinite delay

Abstract

A discrete two-prey one-predator model with infinite delay is proposed. A set of sufficient conditions which guarantee the permanence of the system is obtained. By constructing a suitable Lyapunov functional, we also obtain sufficient conditions ensuring the global attractivity of the system. An example together with its numerical simulation shows the feasibility of the main results.