The effect of stage-structure on the permanence of a predator–prey system with time delay

摘要

A delayed predator–prey system with stage-structure for the prey and time delay due to the gestation of the predator is investigated. By using an iteration technique and comparison arguments respectively, sufficient conditions are derived for the global stability of the positive equilibrium and the two boundary equilibria of the proposed model. Numerical simulations are presented to illustrate the main results.