In this paper a delayed three species (two preys and one predator) predator-prey model has been considered. There is cooperation among the preys during predation. The essential mathematical features for the proposed model are studied to show the permanence of the system. The sufficient condition for global stability of the positive equilibrium has been obtained by constructing a Lyapunov function.

predator-prey model, delay, invariant set, permanence, global stability, Lyapunov functional.