Dynamics Properties of a Delayed Stage-structure Predator-prey System with Biological Control Strategy

Abstract

Based on the biological control strategy in the pest management, the dynamic properties of a ratio-dependent and delayed stage-structure predator-prey system with Holling type III functional response is investigated. The global attractivity of the pest-extinction periodic solution and the permanence of the system are studied by using the theories and methods of impulsive delayed differential equation. Numerical simulations are carried out to illustrate the main results.