Dynamical Behavior of a Predator-prey System with Delayed Stage Structure for the Prey and Impulsive Control

摘要

Based on the biological control strategy in the pest management, a delayed stage-structured predator-prey model with impulsive control is considered. Using the theories and methods of impulsive delayed differential equations, sufficient conditions are obtained, which guarantee the global attractivity of pest-eradication periodic solution and permanence of the system.