Modelling and Analysis of a Predator-Prey System with Pulses and Time Delay

Based on integrated pest management, a stage-structured predator-prey model with pulses and time delay is proposed and investigated. Sufficient conditions are derived for the global attractivity of the pest-eradication periodic solution and the permanence of the system. We also show that time delay, pulse catching rate and the period of pulsing can affect the dynamics of the system.