The study of a predator-prey model with impulsive harvesting strategy

摘要

In this paper, a predator-prey model with time delay and stage structure is constructed and analyzed. In the model, the effect of impulsive harvesting on the system is considered. The predator is divided into two subclasses, the mature and immature. Only mature predator can catch the prey. We obtain the sufficient condition for the global attractivity of the predator eradication periodic solution of the system. The conditions for the permanence of the system are also established by the method of comparison skills.