A predator-prey system with stage-structure for predator

This paper studies the asymptotoc behavior of a predator-prey model with stage structure. It is found that an orbitally asymptotically stable periodic orbit exists in that model. When time delay due to gestation of predator and time delay from crowding effect of prey are incorporated, we establish the condition for the permanence of populations and sufficient conditions under which positive equilibrium of the model is globally stable.