Convergence Results in a Well-Known Delayed Predator-Prey System

In this paper, we provide a detailed and explicit procedure of obtaining some regions of attraction for the positive steady state assumed to exist.of a well known Lotka]Volterra type predator-prey system with a single discrete delay. Our procedure requires the delay length to be small. A detailed example is presented. The method used here is to construct a proper Liapunov functional in a restricted region.