Permanence and Global Attractivity of a Discrete Two-Prey One-Predator Model with Infinite Delay

الملخص EN

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.